Find the value of each variable in the parallelogram. Please help!

Find The Value Of Each Variable In The Parallelogram. Please Help!

Answers

Answer 1

Answer:

m = 35 , n = 110

Step-by-step explanation:

the opposite angles of a parallelogram are congruent , then

2m = 70 ( divide both sides by 2 )

m = 35

consecutive angles are supplementary, that is sum to 180° , then

n + 70 = 180 ( subtract 70 from both sides )

n = 110

Answer 2

Solution:

We know that:

In a parallelogram, opposite angles are equivalent

This means that:

70 = 2m

Divide 2 both sides to find m:

70 = 2m70/2 = 2m/2m = 70/2 = 35°

We can see that two angles measuring 70° and n° are a linear pair.

n + 70 = 180n = 180 - 70 = 110°


Related Questions

A piece of twine 6 yards long costs $2.88. What is the price per foot?

Answers

Solution:

Note that:

1 yard = 3 foot6 yards = $2.88

First, let's convert the yards into feet.

6 yards = 6 x 3 feet = $2.88=> 18 feet = $2.88

Now, divide 18 both sides to find the cost of 1 foot.

=> 18 feet/18 = $2.88/18=> 1 foot = $0.16

The price of the twine per foot is $0.16.

What is the cost of the twine per foot?

The first step is to convert yards to foot: 1 yard = 3 foot

In order to convert yards to foot, multiply 6 by 3: 6 x 3 = 18 foot

The price per foot can be determined by dividing $2.88 by 18 foot

$2.88 / 18 = $0.16

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What is the LMC of 26 and 32

Answers

Answer:

The LCM of 26 and 32 is 416.

Which transformation would make the quadratic parent function narrower and shift it down 5?

g(x) = 3x² - 5
g(x) = 10x² + 5
g(x) = 1/2x² - 5
g(x) = 1/3x² + 5

Answers

Answer:

  (a)  3x² -5

Step-by-step explanation:

The shift down is accomplished by subtracting 5 from the function value. (Eliminates choices B and D.) The function graph is made narrower by a vertical expansion or a horizontal compression. Either way, the coefficient of the x² term will be greater than 1. (Eliminates choice C.)

The transformed function g(x) = 3x² -5 will be narrower and shifted down from the parent function.

Given the circle with the equation (X - 32 + y2 = 49, determine the location of each point with respect to the graph of the
circle. In your final answer, state whether each point is on the Interior, exterior, or circumference of the circle. Include
your calculations as proof of each point's location.
A. (-1,1)
B. (10,0)
C. (4, -8)

Answers

Answer:

To find out if a point is inside, on, or outside a circle, we need to substitute the ordered pair into the equation of the circle:

(x-xc)^2+(y-yc)^2=r^2

where (xc,yc) is the centre of the circle, and r=radius of the circle.

If the left-hand side [(x-xc)^2+(y-yc)^2] is less than r^2, then point (x,y) is INSIDE the circle.  If the left-hand side is equal to r^2, the point is ON the circle.

Finally, if the left-hand side is greater than r^2, the point is OUTSIDE the circle.

For the given problem, we have xc=3, yc=0, or centre at (3,0), r=sqrt(49)=7

(x-xc)^2+(y-yc)^2=r^2 => (x-3)^2+y^2=7^2

A. (-1,1),

(x-3)^2+y^2=7^2 => (-1-3)^2+1^2=16+1=17 <49  [inside circle]

B. (10,0)

(x-3)^2+y^2=7^2 => (10-3)^2+0^2=49+0=49  [on circle]

C. (4,-8)

(x-3)^2+y^2=7^2 => (4-3)^2+(-8)^2=1+64=65 > 49  [outside circle]

Step-by-step explanation:

What was your dream job as a kid?
Mine was to be a ballerina. Please tell me, I am making a survey for school.

Answers

Answer:

Mine was a fashion designer or a model. The model part died out because of my insecurities. But Fashion design is still something I am interested in,

Step-by-step explanation:

The measurements of two sides of a triangular playground are 24 feet and 30 feet. Which length could be the measurement of the third side of the triangular playground?

Answers

Answer: 7 feet

Step-by-step explanation: I did it trust

The length measurement of the third side of the triangular playground whose two sides are 24 ft and 30 ft long should be more than 6 but less than 54.

What is triangle inequality theorem?

Triangle inequality theorem of a triangle says that the sum of the two sides of a triangle is always greater than the third side.

Suppose a, b and c are the three sides of a triangle. Thus according to this theorem,

(a+b)>c

(b+c)>a

(c+a)>b

There is a triangular playground. The measurements of two sides of a triangular playground are 24 feet and 30 feet.

Suppose the length of the measurement of the third side of the triangular playground is c meters.

As the two sides are 24 ft and 30 ft long. Thus, by the triangle inequality theorem,

[tex]24+30 > c\\54 > c[/tex]

For the sides 24 ft and c ft,

[tex]24+c > 30\\c > 30-24\\c > 6[/tex]

Thus, the length measurement of the third side of the triangular playground whose two sides are 24 ft and 30 ft long should be more than 6 but less than 54.

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Which method is the best way to solve the system shown below? 3x + 4y = 12 3x - 4y = 5

Answers

Answer:

[tex]3x + 4y = 12 \\ 3x - 4y = 5 \\ 6x = 17 \\ x = \frac{17}{6} \\ 3 \times \frac{17}{5} - 4y = 5 \\ 51 \div 5 - 4y = 5 \\ \\ 10.2 - 5 = 4y \\ y = \frac{5.2}{4} [/tex]

PLEASE HELP ASAP ILL GIVE BRAINLIEST IF YOU SHOW THE STEPS!! You have to look at the picture for the questions!!

Answers

Answer:

3. f = gh

4. r = 1/s³

5. y = x[tex]\sqrt{z}[/tex]

6. m = n²/p

7. Inverse variation, s is constant

8. Direct Variation, x is constant

9. joint variation, q and r are both constants

10. Direct variation, r is constant

11. Joint variation, r and h are both constants

12. Inverse variation, x is constant

13. y = kx

17.5 = 21k

k = 21/17.5

y= (21/17.5)*39

y = 46.8

14.

m = kn

209 = 22k

k = 209/22

361 = (209/22)n

n = (361*22)/209

n = 38

Mitchell’s cell phone provider’s phone line is busy 80% of the time. In 12 calls, what is the probability that it will be busy at least 10 times?

Answers

Answer:

Step-by-step explanation:

Binomial distribution:  [tex]X \sim B(n,p)[/tex]

where n is the number and p is the probability

Given:

n = 12p = 0.8

[tex]X \sim B(12,0.8)[/tex]

P(X ≥ 10) = 1 - P(X ≤ 9)

              = 1 - 0.4416542515...

              = 0.5583 (4 dp)

Please I really need help with this one! I have to do 38 questions before 11:38.

Answers

Answer:

B, between 3 and 4 miles

Step-by-step explanation:

We know that h is 9.

√1.5*9

1.5*9=13.5

This can be done without a calculator.

if we know that √13.5 is in between √9 and √16 and that √9=3 and that √16 is equal to √4, it can be concluded that the answer is in between 3 and 4.

What constant term is necessary to complete the perfect square trinomial pictured in the algebra tiles? x2 8x

Answers

The constant term that is necessary to complete the perfect square trinomial pictured in the algebra tile is 16.

What is a perfect square trinomial?

A perfect square trinomial is an algebraic statement with three terms of the type ax²+bx+c. It is calculated by multiplying a binomial with itself.

For the given trinomial to be a perfect square trinomial, the value of the constant term should be such that the value of the term expression must be similar to (a+b)². Therefore,

[tex](a+b)^2=a^2+2ab+b^2[/tex]

            [tex]=x^2+8x+16[/tex]

Now, if we compare the two equations we will understand that the first term of the perfect square trinomial is x, and thus, the last term should 16.

[tex](x+4)^2=x^2+8x+16[/tex]

Hence, the constant term that is necessary to complete the perfect square trinomial pictured in the algebra tile is 16.

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16 is the constant term is necessary to complete the perfect square trinomial pictured in the algebra tiles will be (x + 4).

What is a perfect square?

A perfect square is a number that may be written as the product of two integers or as the integer's second exponent.

The perfect square obtained from the given equation is  (x + 4).;

On squaring we get;

[tex](x + 4)^2 = x^2 + 8x + 16.[/tex]

16 is the only constant term in the equation.

Hence 16 is the constant term that is necessary to complete the perfect square.

To learn more about the perfect square refer to the link;

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Leslie is saving for a new $500 iPad. She currently has $125. If she saves $15 per week, how long must she wait to save at least $600 to cover tax and extras? Let x represent the number of weeks

Answers

Answer:

x=31.66

Step-by-step explanation:

1st i did 600-125=475

so now i have to do 475 divided by 15

that is 31.66

so she has to wait 31.66 weeks to get the $475 dollars she needs

The graphs of y=f(x) and y=g(x) are shown.
indicate whether each statement about these graphs is true or false

Answers

Answer:

i think it it false, true, false

hope that's right lol

Step-by-step explanation:

Find the slope of the line in the image below.

Answers

Solution:

It should be noted:

Slope = Rise/Run

Using the formula:

Slope = Rise/Run=> Rise = 1; Run = 2=> Slope = 1/2

Correct option is A.

In ABC, the measures of the angles A, B, and C, respectively, are in the ratio 1:6:8. Find the measure of each angle.​

Answers

Answer:

180/15=12 12x6=72 12x8=96... 12, 72, 96?

13. Rearrange this formula to make x the subject.
Y=2x/5

Answers

Step-by-step explanation:

[tex]y = \frac{2x}{5} [/tex]

crossmultiply

[tex]5y = 2x[/tex]

divide both side by 2, to make x alone

x = 5y / 2

pls give brainliest

which is equivalent to 1/2 sin 30

Answers

Answer:

1/2

Step-by-step explanation:

Sin 30 degree equals to the fractional value of 1/ 2. In the same way, we can derive other values of sin degrees like 0°, 30°, 45°, 60°, 90°,180°, 270° and 360°.

Answer:Sin 30=1/2

Step-by-step explanation:

The window shown is the shape of a semicircle with a radius of 6 feet. the distance from f to e is 3 feet and the measure of arc b c = 45°. find the area of the glass in region bcih, rounded to the nearest square foot. ft2

Answers

The area of the glass in the region BCIH, rounded to the nearest square foot is 11.

The radius of the semicircle is 6 feet and the distance from F to E is 3 feet. The measure of an arc is 45°.

What is the area of the sector?

First, the sector is the part of the circle made of the arc of the circle along with its radii. The area of the sector of a circle is represented by

The angle of the sector is 360°

The area of the circle [tex]\rm \pi r^{2}[/tex] and the angle is ∅

The area of the sector,  [tex]\rm A= \frac{\Theta}{360} \times\pi r^{2}[/tex]

Here, the area of the glass in region BCIHis the difference between the area of the sector of region BCIGH and the region HIG.

The area of the region BCIH

[tex]\rm = \frac{\ 45}{360} \times\pi (6^{2} -3^{2} )[/tex]

[tex]\rm = \frac{\ 1}{8} \times\pi (27 )[/tex]

[tex]\rm = 10.5\; ft^{2}[/tex]

Hence, The area of the glass in the region BCIH, rounded to the nearest square foot is 11.

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Answer:

11 ft2

Step-by-step explanation:

hope this helps

For a standard normal distribution, find the approximate value of p (z greater-than-or-equal-to negative 1.25). use the portion of the standard normal table below to help answer the question. z probability 0.00 0.5000 0.25 0.5987 1.00 0.8413 1.25 0.8944 1.50 0.9332 1.75 0.9599 11% 39% 61% 89%

Answers

For a standard normal distribution, the approximate value of p

( z≥-1.25 ) is 0.8945.

What is a standard normal distribution?

The standard normal distribution is a normal distribution with a mean of zero and a standard deviation of 1. The standard normal distribution is centered at zero and the degree to which a given measurement deviates from the mean is given by the standard deviation.

As we know that Z-score is a numerical measurement that describes a value's relationship to the mean of a group of values.

It is given that z-score≥-1.25

From the standard normal table, the p-value corresponding to z≥-1.25 is

0.8945.

Therefore, For a standard normal distribution, the approximate value of p ( z≥-1.25 ) is 0.8945.

To get more about standard normal distribution visit:

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Answer:

89%

Step-by-step explanation:

To make it easy. Hope this helps

how do you work this out

Answers

Answer:

gradient = 2

Step-by-step explanation:

calculate the gradient m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (1, 0) and (x₂, y₂ ) = (5, 8) ← 2 points on the line

m = [tex]\frac{8-0}{5-1}[/tex] = [tex]\frac{8}{4}[/tex] = 2

From a hot-air balloon, Madison measures a 36^{\circ}

angle of depression to a landmark that’s 785 feet away, measuring horizontally. What’s the balloon’s vertical distance above the ground? Round your answer to the nearest tenth of a foot if necessary.

Answers

The balloon’s vertical distance above the ground is 570.3 feet

Angle of elevation and depression

Given the following parameters

The angle of depression = 36 degrees

Base distance =  785 feet

Required

vertical distance above the ground (H)

Using the SOH CAH TOA identity

tan 36 = H/785
H = 785tan36

H = 570.3 feet

Hence  the balloon’s vertical distance above the ground is 570.3 feet

Learn more on SOH CAH TOA here: https://brainly.com/question/20734777

Angle Pairs (Lines cut by a Transversal)
What are pair relation exists between angle 7 and angle 4? Use the picture as a reference.

_ Alternate Interior Angles
_ Alternate Exterior Angles
_ Same-Side Interior Angles
_ Same-Side Exterior Angles
_ Corresponding Angles

Answers

Answer:

same side interior angles

3. What are pair relation exists between angle 7 and angle 4?

Corresponding angles.

Explanation :

A pair of angles in which one arm of each angle of a pair is on the same of the transversal and the other arm of the angles of the pair are directed in the same direction are known as Corresponding angles.

Find the Total surface area of a cone if it's slant height is 21m and diameter of it's base is 24m.

Don't Spam ​

Answers

1244.57 cm²

Step-by-step explanation:

Given:

Slant height (l) is 21m Diameter (d) is 24m

Hence, radius will be :

➝ diameter/2

➝ 24/2

12m

[tex] \: [/tex]

To Find:

Total Surface Area (TSA) of the cone.

Solution:

As, we know:

[tex] \star \quad{ \underline{ \green{ \boxed{TSA_{(cone)} = \pi r( l+r ) }}}} \quad\star \quad[/tex]

Here,

π = 22/7 r = 12m l = 21m

[tex] \rightarrow \: \frac{22}{7} \times 12 \: (21 + 12)[/tex]

[tex] \rightarrow \: \frac{22}{7} \times 12 \: (33)[/tex]

[tex]\rightarrow \: \frac{8712}{7} {cm}^{2} [/tex]

Therefore, Total Surface Area of Cone is 8712/7 cm² or 1244.57cm².

_____________________Additional Information:

[tex]\footnotesize{\boxed{ \begin{array}{cc} \small\underline{\frak{\pmb{ \red{More \: Formulae}}}} \\ \\ \bigstar \: \bf{CSA_{(cylinder)} = 2\pi \: rh}\\ \\ \bigstar \: \bf{Volume_{(cylinder)} = \pi {r}^{2} h}\\ \\ \bigstar \: \bf{TSA_{(cylinder)} = 2\pi \: r(r + h)}\\ \\ \bigstar \: \bf{CSA_{(cone)} = \pi \: r \: l}\\ \\ \bigstar \: \bf{TSA_{(cone)} = \pi \: r \: (l + r)}\\ \\ \bigstar \: \bf{Volume_{(sphere)} = \dfrac{4}{3}\pi {r}^{3} }\\ \\ \bigstar \: \bf{Volume_{(cube)} = {(side)}^{3} }\\ \\ \bigstar \: \bf{CSA_{(cube)} = 4 {(side)}^{2} }\\ \\ \bigstar \: \bf{TSA_{(cube)} = 6 {(side)}^{2} }\\ \\ \bigstar \: \bf{Volume_{(cuboid)} = lbh}\\ \\ \bigstar \: \bf{CSA_{(cuboid)} = 2(l + b)h}\\ \\ \bigstar \: \bf{TSA_{(cuboid)} = 2(lb +bh+hl )}\\ \: \end{array} }}[/tex]

what is -12/5+|- 13/6| + (-3 2/3)

Answers

Answer: -39/10 alternative forms : -3 9/10, -3.9

Step-by-step explanation:

_____________________________________________________________________________________________________________________________________________________________________________________________________________________________________

Answers

She had $1,985.56
Because 550 divided by (27.7 divided by 100) and 55,000 divided by 27.7

y = m x + b for a trend line that passes through the points (2, 18) and (–3, 8). Which value should he use as b in his equation

Answers

Answer:

b = 14

Step-by-step explanation:

the equation of a line in slope- intercept form is

y = mx + b ( m is the slope and b the y- intercept )

calculate m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (2, 18 ) and (x₂, y₂ ) = (- 3, 8 )

m = [tex]\frac{8-18}{-3-2}[/tex] = [tex]\frac{-10}{-5}[/tex] = 2 , then

y = 2x + b

to find b substitute either of the 2 points into the equation

using (2, 18 )

18 = 4 + b ⇒ b = 18 - 4 = 14

what is 4 2/3 × 6 7/10​

Answers

Answer:

[tex]31 \frac{4}{15}[/tex]

Step-by-step explanation:

(convert the mixed numbers into improper fractions = [tex]a\frac{b}{c} = \frac{a*c+b}{c}[/tex] )

[tex]\frac{4*3+2}{3}*\frac{6*10+7}{10}[/tex]  

Steps if needed:

4*3 = 12+2 =14

6*10=60+7=67

[tex]\frac{14}{3} *\frac{67}{10}=\frac{14*67}{3*10}[/tex]

= [tex]\frac{938}{30}[/tex]

Simplify: Divide by 2

[tex]\frac{469}{15}[/tex] || 938/2 = 469   30/2 = 15

Convert your answer to a mixed fraction

[tex]31\frac{4}{15}[/tex]

469/15 = 31.26....

15*31 = 465

465+4 = 469

So your answer is 31 4/15

Ahmad drew a blueprint of a rectangular garden. The blueprint is 7 inches long, and the actual garden is 56 inches long. How many times longer is the actual garden than Ahmad's blueprint?

Answers

Answer:

8 times longer

Step-by-step explanation:

The actual garden is 8 times the blueprint.

Reasoning? 56/7=8

How to check:

Use inverse operations:

7*8=56

A pound of blueberries costs $3.50 and a pound of oranges cost $2.50. Whats the total cost of 0.6 pounds of blueberries and 1.8 pounds of oranges?

HELP PLEASE!!

Answers

Answer:

$6.60

Step-by-step explanation:

1 pound of blueberries = $3.50

if 0.6 pound = 3.50 × 0.6 = 2.10

1 pound of oranges = $2.50

if 1.8 pound = 2.50 × 1.8 = 4.50

Total = $4.60

What can you take away from 800 to make 500?

Answers

Answer:

it would be 800-300 =500.

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