1. The diagram shown is two intersecting lines. The measure of (5 is 47°.



(a) What is the measure of {7 ? How do you know. Explain your answer in complete sentences.

(b) Suppose the measure of {6 can be represented by (2x-5) . What equation can be written to solve for the value of x?

(c) What is the value of x?

1. The Diagram Shown Is Two Intersecting Lines. The Measure Of (5 Is 47.(a) What Is The Measure Of {7

Answers

Answer 1

By using what we know about intersecting lines, we will see that:

a) ∡7 = 47°b) 47° + (2x - 5)° = 180°c) x = 69

How to get the measures of the angles for two intersecting lines?

When two lines intersect, 4 angles are formed. There are two properties that these angles have.

If the angles are adjacent, then their measures add up to 180°If the angles are not adjacent, these angles have the same measure.

a) We know that ∡5 = 47°

And 7 is not adjacent to 5, then 7 has the same measure:

∡7 = 47°

b) 6 and 5 are adjacent, then we must have that:

∡5 + ∡6 = 180°

47° + (2x - 5)° = 180°

That is the equation we need to solve to get the value of x.

c) To solve the linear equation we need to isolate x, let's do that:

47° + (2x - 5)° = 180°

(2x - 5)° = 180° - 47° = 133°

2x - 5 = 133

2x = 133 + 5 = 138

x = 138/2 = 69.

If you want to learn more about linear equations, you can read:

https://brainly.com/question/1884491


Related Questions

Please please please please help me please

Answers

Answer:

ANSWER (D.

ABC Similar To DEF

ABC DEF

-

Students in the marching band and choosing new colors for the hats and the pants of their uniforms. For each item they can use yellow, green, or black. Which table represents the sample space of choosing one color for the hat and one color for the pants? I NEED HELP ASAP ON IREADY DIAGNOSTIC TEST

Answers

Answer:

See the table below.

Step-by-step explanation:

They are provided that the students has to select new colors for the hats and the pants of the marching band uniforms.

The color options for each item are:

yellow (Y), green (G), or black (B).

The sample space for the color selection of hats and pants is:

Sample Space

Hats        Pants

 Y              Y

 Y              G

 Y              B

 G              Y

 G              G

 G              B

 B              Y

 B              G

 B              B

There are a total of 9 possible selections of combinations.

Please help, will mark brainliest :)

Find the rate of change of the function.

f(x)= -4/7x + 2/9

Answers

Answer:

-4 is rate

7 is change

Step-by-step explanation:

Take what x is multiplying and that is your rate and change.

A right triangle has legs of length 121 cm and 134 cm.
What is the length of the hypotenuse of the right triangle?
Enter the answer, rounded to the nearest tenth, in the box.
cm

Answers

Answer:

c = 177.8

Step-by-step explanation:

121² + 134² = c²

13641 + 17956 = c²

31597 = c²

[tex] c \: = \sqrt{31579} [/tex]

ax^2+bx+c=0 the root of the equation are 2 and 1/2

Answers

Answer:

[tex]x = 2 \: or \: x = \frac{1}{2} \\ (x - 2)(2x - 1) = 0 \\ {2x}^{2} - x - 4x + 2 \\ {2x}^{2} - 5x + 2[/tex]

Step-by-step explanation:

hope it helps you<3

1071 is to be devided among 6 people equally how much in dollars is left over after each person receives there share

Answers

1071/6 =178.5
Each person received 178
Amount left after equal share
= 1071 - (178 x 6)
= 1071 - 1068
= 3

Hence 3 dollars is left over

how many minutes are in 6.5 hours & how do you calculate the minutes?​

Answers

Answer:

390 minutes

Step-by-step explanation:

We already know that 1 minutes = 60 seconds

Take 6.5 × 60 = 390 minutes

How many mminutes are in 6.5 hrs

3990 Min

solve the following system by elimination

4x-4y=-12
12z-6y=-6

Answers

I hope my explanation helps you out.

Which of the following inequalities can be used to represent a number x that is greater than -5 and less than 3? ​

Answers

Answer:

-5<x<3

Step-by-step explanation:

There are 5 pencil-cases on the desk. Each pencil-case
contains at least 10 pencils, but not more than 14 pencils.
Which of the following could be the total number of pencils in
all 5 cases?

Answers

Answer:

Choose the numbers in the choices that are 50, 70, or any integer in between 50 and 70.

Step-by-step explanation:

Minimum number of pencils: 5 × 10 = 50

Maximum number of pencils: 5 × 14 = 70

The number of pencils ranges from 50 to 70. All integers 50, 70 and in between 50 and 70 are possible.

Choose the numbers in the choices that are 50, 70, or any integer in between 50 and 70.

factorise and divide 3^ 2 (2 ^2 − 14 + 24) ÷ 6 ( x − 4)​

Answers

Answer:

i think its 21/x-4

Step-by-step explanation:

sorry if im wrong

Help, I'm confused.
I need this done for because it is my last question.

Answers

Answer:

1/6 chance of it landing on a four.

Step-by-step explanation:  Bro trust me

8.09/1000
with explanation

Answers

0.00809

Step-by-step explanation:

1000 is divided in 8.09

That is why the answer is 0.00809

good evening! Can someone please answer this, ill give you brainliest and your earning 50 points. Would be very appreciated.

can someone answer part B please!

Answers

Here the equation is

P(t)=0.03t+3.26

Compare to slope intercept form

y=mx+b

We get

m=0.03=Slope

As its rate of change so it must be price of milk change

What is the equation of a circle with center (-3, -5) and radius 4?

Answers

Answer:

[tex](x+3)^{2} +(y+5)^{2} =16[/tex]

Step-by-step explanation:

the general equation of a circle is

[tex](x-h)^{2} + (y-k)^{2} =r^{2}[/tex]

with (h,k) being the centre of the circle and r the radius

angle c and angle d are supplementary angles.if the measure of angle d is 80 degress,what is the measure of angle c

Answers

Answer:

C = 100

Step-by-step explanation:

Supplementary angles equal 180 degrees

180 - 80 = 100

Answer:

m∠C = 100°

Step-by-step explanation:

Supplementary angles are angles that add up to 180°. We are given m∠D as 80°.

This means that c + 80 = 180

Step 1: Subtract 80 from both sides.

[tex]c+80-80=180-80[/tex] [tex]c=100[/tex]

Therefore, the answer is 100°.

there are 640 students in a school ,384 of them are boys.find the percentage of girls in the school.​

Answers

Answer:

40%

Step-by-step explanation:

Given,

Total no.of students=640Number of boys=384Number of girls=Total no.of students - Number of boys=256

Here,

Percentage of girls=256/640×100%

= 40%

Please help - Timed.

Answers

Answer: you seem to be on the right answer

Step-by-step explanation:

(-1,-1)

Answer:

I think that you are correct! I believe the answer is (-1, -1)

Step-by-step explanation:

PLEASE MARK ME AS BRAINLIEST I REALLY WANT TO LEVEL UP

Find the area of a circle with radius,
r
= 6.16m.
Give your answer rounded to 2 DP.

Answers

Answer ≈ 119.21m

Step-by-step explanation: Plugging the radius into the equation for the area of a circle equals 119.209618 which rounds to 119.21.

(π) ([tex]6.16^{2}[/tex]) = 119.209618

what is the volume of a right circular cylinder with a base diameter of 20 cm and a height of 5 cm? express your answer using pie

Answers

Answer:

1570.8 cm3

Step-by-step explanation:

20 / 2 = 10

10 * 10 * pi  = 314.16

314.16 * 5 = 1570.8 cm3

I don’t get this I need help

Answers

Area of square = side*side.
First we have to find the side.
To find the side use Pythagoras formula
Side^2 = 7^2+3^2
= 49+9
=58
Area of square = 58 square units

Answer:

49 square units.

Step-by-step explanation:

to calculate the area of a square multiply the width of the square by the length. Example: 7×7= 49 square units, cm, inches, exe...

PS: if this is correct pls mark me brainly thanks :)

help fast 55 points please hurry

Answers

Answer:

B

Step-by-step explanation:

There are 220 pages in carly's novel. At 4 hours, there is 80 pages left, but monica has 120

One leg of a 45°-45°-90° triangle measures 15/2 inches What is the length of the hypotenuse?

Answers

Answer: 7.5sqrt(2)

Step-by-step explanation:

Find the ratio of 900m to 9km.

Answers

To find the ratio, you need to convert one unit to the other.

For example:
9km=9000m

Therefore:
900/9000 = 1/10

A factory produces 1,250,000 toys each year. the number of toys is expected to increase by about 150% per year. which model can be used to find the number of toys, n (in millions), being produced in t years? n = startfraction 2.5 (1.5) over t endfraction, t not-equals 0 n = 1.5 t squared 1.25 n = 1.5 t 1.25 n = 1.25 times 2.5 superscript t

Answers

The model that can be used to find the number of toys is  1.25* (2.5) ⁿ.

What is meant by an increment of 150%?

An increment of 150% means an increment of 1.5 times of initial value.

Number of toys initially = 1,250,000 or 1.25 millions

Number of toys after a year = 1.25 + 1.25*1.5 = 1.25*(2.5)¹

Number of toys after two year =1.25 * 2.5+ 1.25*2.5*1.5 = 1.25*(2.5)²

Number of toys after three year = 1.25* (2.5)³

So, Number of toys after n year = 1.25* (2.5)

Therefore, the model that can be used to find the number of toys is  1.25* (2.5) ⁿ.

To get more about exponentials visit:

https://brainly.com/question/6946982

Answer:

c

Step-by-step explanation:

what is the answer to 1/2x+2=3/8x-1

Answers

Answer:

x=−24

Step-by-step explanation:

Let's solve your equation step-by-step.

1

2

x+2=

3

8

x−1

Step 1: Subtract 3/8x from both sides.

1

2

x+2−

3

8

x=

3

8

x−1−

3

8

x

1

8

x+2=−1

Step 2: Subtract 2 from both sides.

1

8

x+2−2=−1−2

1

8

x=−3

Step 3: Multiply both sides by 8.

8*(

1

8

x)=(8)*(−3)

x=−24

Answer:

x=−24

Geet sells televisions. He earns a fixed amount for each television and an additional $15 if the buyer gets an extended warranty. If Geet sells 13 televisions with extended​ warranties, he earns $845. How much is the fixed amount Geet earns for each​ television?

The fixed amount Geet earns for each television he sells is ​$ .

Answers

Answer: The fixed amount Geet earns for each television is $60.

Step-by-step explanation: Geet sells televisions. He earns a fixed amount for each television and an additional $ 30 if the buyer gets an extended warranty. If Geet sells 17 televisions with extended​ warranties, he earns $ 1,530.Now, to find the fixed amount Geet earns for each television.Let the cost of fixed amount be .Number of television = 17.He earns total = $1,530.He earns additional amount = $30.Now, to get the fixed amount we put an equation: Subtracting both sides by 510 we get:Dividing both sides by 17 we get:Therefore, the fixed amount Geet earns for each television is $60.

Answer:

$15 Fixed Amount Per TV

Step-by-step explanation:

13 x 15 = 195 - Extended Warranty

845 - 195 = 650

650 ÷ 13 = 50 - Fixed Amount

I need Help!!!


(Question is attached)

Answers

Answer:

SEE BELOW

Step-by-step explanation:

1 - 12000 ft

2 - 10 minutes

3 - The third segment in he graph is not as steep as the first segment because the flight took more time to lose altitude than the time taken to gain altitude.

Hope it helped

URGENT needs steps on how to solve this problem

Find the first 3 iterations of g(x)=3x if you have an initial value of 2. Fill in the table below with your answers.

g(2)
G^2(2)
g^3(2)

Answers

Let's see

[tex]\\ \rm\longmapsto g(2)=3(2)=6[/tex]

(2,6)

[tex]\\ \rm\longmapsto g^2(2)=6^2=36[/tex]

(2,36)

[tex]\\ \rm\longmapsto g^3(2)=6^3=216[/tex]

(2,216)

Evaluate the expression for x = 3, y = 1/3 , and z = 5.

12x − 3y / 4x − z​

Answers

Step-by-step explanation:

Substitute the given values into the expression;

[tex]12(3) - 3( \frac{1}{3} ) \div 4(3) - 5[/tex]

Multiply;

[tex]36 - 1 \div 12 - 5[/tex]

Solve Using PEMDAS;

[tex]36 - \frac{1}{12} - 5[/tex]

[tex]35 \frac{11}{12} - 5[/tex]

[tex]\boxed{30 \frac{11}{12} } [/tex]

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