Answers
Answer:
55°
Step-by-step explanation:
[tex]m\angle X = m\angle Z[/tex] (Opposite angles of a parallelogram)
[tex]\implies m\angle X = 70\degree[/tex]
In [tex]\triangle WXY[/tex]
WX = XY (given)
[tex]\implies m\angle XWY = m\angle XYW[/tex]
(Angles opposite to equal sides are equal)
[tex]m\angle XWY = x [/tex] (Given)
[tex]\implies m\angle XYW=x[/tex]
[tex]\implies x + x + 70\degree=180\degree[/tex]
(By angle sum postulate of a triangle)
[tex]\implies 2x =180\degree-70\degree[/tex]
[tex]\implies 2x= 110\degree[/tex]
[tex]\implies x= \frac{110\degree}{2}[/tex]
[tex]\implies\huge{\orange {\boxed{ x=55\degree}}}[/tex]
Related Questions
The diameter, D, of a sphere is 15 cm. Calculate the sphere's volume, V.
Use the value 3.14 for a, and round your answer to the nearest tenth. (Do not round any intermediate computations.)
Answers
Answer: 1766.3
Step-by-step explanation:
A project manager must select four analysts from her group to write four
different software functions. There are 5 junior and 8 senior analysts in her group.
The first and fourth functions can be written by any of the analysts. The second
function must be written by a senior person and the third function must be written
by a junior person. How many ways are there for her to assign the analysts to the
functions if no person can be assigned to more than one function?
Answers
Using the Fundamental Counting Theorem, it is found that there are 4,440 ways to assign the analysts.
What is the Fundamental Counting Theorem?It is a theorem that states that if there are n things, each with [tex]n_1, n_2, \cdots, n_n[/tex] ways to be done, each thing independent of the other, the number of ways they can be done is:
[tex]N = n_1 \times n_2 \times \cdots \times n_n[/tex]
In this problem:
With the first function being written by a senior, we have that: [tex]n_1 = 8, n_2 = 7, n_3 = 5, n_4 = 10[/tex].With the first function being written by a junior, we have that: [tex]n_1 = 5, n_2 = 8, n_3 = 4, n_4 = 10[/tex].Hence:
N = (8 x 7 x 5 x 10) + (5 x 8 x 4 x 10) = 4400.
There are 4,440 ways to assign the analysts.
To learn more about the Fundamental Counting Theorem, you can check https://brainly.com/question/24314866
Emma sold all the parasols in the store for $84. She brought new
parasols from the stockroom and decided to increase the price of a
parasol to $13.
Which of the following equations represents the total amount, t, Emma
will have earned after selling the additional, p, parasols?
A. t = 84 + 13p
B. t = 84 + (p + 13)
C. t = 84 × 13p
D. t = 84 + [tex]\frac{p}{13}[/tex]
Answers
Answer: B. Emma sold all the parasols in the store for $84. She brought new parasols from the stockroom and decided to increase the price of a parasol to $13.
Step-by-step explanation:
Answer:
A
Step-by-step explanation:
First, she earned $84
She bought new parasols and increase the price of each parasol by $13-> she will earn $13p by selling p additional parasols
->total amount = 84+13p
The following is proportional b. Fill in the missing table, equation and verbal
3.
Graph
11
10
number of Insta posts
time (days)
days.
Mrs Manuel makles
Equation : k=
Time (days)
Insta post every
Equation
Insta post (#)
5
2
6
9
For questions 4-7, use the equation y =54X
4. Find y when x = 8
5. Find x when y = -20
6. Fill in the table.
Answers
Answer:
yx=8 and xy=20 so that is the correct answer
Solve
v < 45. Graph the solution.
The solution is
someone helppp
Answers
Answer:
The solution is v ≤ 81.
Graph it on a number line by writing a closed circle above the number 81 with a line moving to the left (sorry I'm bad at explaining, just comment if you don't get it)
Step-by-step explanation:
5/9v ≤ 45
Divide 5/9 on both sides
v ≤ 81
Please help me !! ASAP
Answers
Answer:
you respiratory system puts oxygen in the blood s and the cardiovascular system pumps it through the body
If X = 6 cm and Z = 10 cm, what is the length of Y?
A. 8 cm
B. 8 cm
C. 10 cm
D. 6 cm
Answers
Answer:
If XYZ is a triangle, then Y = 8 cm
Step-by-step explanation:
X^2 + Y^2 = Z^2, by the Pythagorean Theorem.
Z, in this equation, represents the hypotenuse; the hypotenuse must be the longest side, and we can therefore eliminate C, 10 cm, without even beginning. Then, we may plug the given values in.
(6)^2 + Y^2 = 10^2
36 + Y^2 = 100
Y^2 = (100 - 36) = 64
Y = 8 cm
I hope this helped! :)
choices are
A. 3/22
B. 6/23
C. 4/7
D. 3/7
please help
Answers
Answer: D
Step-by-step explanation:
There are 14 students who chose vanilla, and 6 of those are male. 6/14 = 3/7.
A prism is completely filled with 80 cubes that have edge length of 12cm What is the volume of the prism? Enter your answer in the box. cm³
Answers
The volume of this prism is equal to 138,240 [tex]cm^3[/tex].
Given the following data:
Edge length of cube = 12 cm.Number of cubes = 80 cubes.To determine the volume of this prism:
How to calculate the volume of a prism.First of all, we would determine the volume of the cube by using this formula:
[tex]Volume = s^3\\\\Volume = 12^3\\\\Volume = 1728\;cm^3[/tex]
For the prism:
Volume = [tex]80 \times 1728[/tex]
Volume = 138,240 [tex]cm^3[/tex].
Read more on volume of a cube here: brainly.com/question/25248189
WILL GIVE BRAINLIEST IF CORRECT PLEASE ANSWER!!!!!
Find the value of cos I rounded to the nearest hundredth, if necessary.
Answers
Answer: 41.40962211 or 41.41
Step-by-step explanation:
Cos i = 30/40
x = Cos ^-1 (30/40)
x = 41.41 or 41.40962211
Hurry please!
A) - 1
B) 1
C) 0
D) undefined
Answers
what’s the answer??
Answers
Cross multiply
16x = 55
Divide through by 16
x = 3.427
x ≈ 3.43
Answer:
your answer is 3.44
Step-by-step explanation:
First...
divide 16 by 5 which equals 3.2
Second...
then you want to divided 11 by 3.2 which will give you 3.4375
Last...
Round 3.4375 to the nerest tenth which will give you 3.44
-13 = -3h + 2 solve for h
Answers
Step-by-step explanation:
-13 = -3h + 2
3h - 13 = 2
3h = 15
h = 5
Answer:
-5
Step-by-step explanation:
-13 = -3h + 2 First, move the positive two (we get rid of a + by using a -)
-2 -2
-15 = -3h -3 is divided (opposite of multiplication is division)
----- ------
3 3
-5 = h Now we have our answer :)
A Cubic Polynomial with rational coefficients has the roots 6 + SQRT6 and 2/3 FInd one additional root.
SHOW STEPS PLEASE O_O
Answers
This is because of the rule that if we have rational coefficients, then one root of [tex]a+\sqrt{b}[/tex] must have a conjugate pair of [tex]a-\sqrt{b}[/tex]. Multiplying the conjugates will have the square roots cancel out.
For more information, check out the difference of squares rule.
Victor's class is going on a field trip.
They will ride on the city bus twice,
once going and once coming back.
The one-way bus trip costs 35€ per
child and 50¢ per adult. There are
24 students, 4 parents, and 1 teacher
4
going on the trip. How much money
will they need for everyone to ride
the bus?
Answers
Answer:
2180
Step-by-step explanation:
35x24=840
50x5=250
add those tou get 1090
multiply by 2
2180
HELPPP FOR BRAINLEST!!!
Answers
Answer:
3/17
Step-by-step explanation:
Add together all the readers, and then as the numerator of the fraction put the number of Paperback Books and the 1 hour per week. The fraction is three seventeenths.
Answer:
3/17
Step-by-step explanation:
the number of club members who read about 1 hour per week AND prefer paperback books is 3
Put that over the total amount of club members in the sample which is 17
so 3/17 and that doesn't simplify :)
SOLVE BOTH
if f(x)=2x+8, find f(5)
if f(x)=3x+4, find f(8)
Answers
Answer:
Step-by-step explanation:
simple! plug in the 5 for x, f(5)=2(5)+8
f(5)=10+8
f(5)=18
f(8)=3(8)+4
f(8)=28
The table shows the distance a cyclist rides her bicycle over time. Is the rate of change in distance with respect to time constant? What does the rate of change represent?
Bike Riding Distance
Time
(minutes) Distance
Traveled (ft)
1 1120
2 2240
3 3360
4 4480
A. The rate of change is constant and represents a speed of 1120 ft/min. The cyclist rides her bike at a rate of 1120 ft/min.
B. The rate of change is constant and represents a speed of 3360 ft/min. The cyclist rides her bike at a rate of 1120 ft/min.
C. The rate of change is constant and represents a speed of 2240 ft/min. The cyclist rides her bike at a rate of 1120 ft/min.
D. The rate of change is constant and represents a speed of 4480 ft/min. The cyclist rides her bike at a rate of 1120 ft/min.
Answers
From the relationship between the distance and time, the rate of change is constant and represents a speed of 1120 ft/min. The cyclist rides her bike at a rate of 1120 ft/min.
What is a linear equation?A linear equation is in the form:
y = mx + b
Where y,x are variables, m is the rate of change and b is the initial value of y.
Let y represent the distance travelled by the bike after x minutes.
From the table:
Rate of change = (4480 - 1120) / (4 - 1) = 1120 ft/min
The rate of change is constant and represents a speed of 1120 ft/min. The cyclist rides her bike at a rate of 1120 ft/min.
Find out more on linear equation at: https://brainly.com/question/14323743
Need help!
Find the volume!
Answers
Answer:
volume of cylinder is = πr²h
= π4²6 = π x 16 x 6 = 96π yd³
Hank's Fudge Factory packages and sells homemade white chocolate and milk chocolate fudge. Both types of fudge come in blocks that are 6 centimeters wide and 6 centimeters tall. The volume of the block of white chocolate fudge is 360 cubic centimeters. The volume of the block of milk chocolate fudge is 504 cubic centimeters. How much longer is the block of milk chocolate fudge than the block of white chocolate fudge?Write your answer as a whole number or decimal. Do not round
Answers
Answer:
4
Step-by-step explanation:
The volume of a rectangular prism V is the product of its length ℓ, width w, and height h.
V=ℓwh
ou want to find how much longer the block of milk chocolate fudge is than the block of white chocolate fudge.
First, find how long the block of milk chocolate fudge is. The block of milk chocolate fudge is shaped like a rectangular prism. Its width is 6 centimeters, its height is 6 centimeters, and its volume is 504 cubic centimeters.
To find how long the block of milk chocolate fudge is, ℓ, you can use the formula for the volume of a rectangular prism.
V
= ℓwh
504
= ℓ66
504
= ℓ36 Multiply 6 by 6
506
36
=
ℓ36
36
Divide both sides by 36
14
= ℓ Simplify
The block of milk chocolate fudge is 14 centimeters long.
Now, find how long the block of white chocolate fudge is. The block of white chocolate fudge is shaped like a rectangular prism. Its width is 6 centimeters, its height is 6 centimeters, and its volume is 360 cubic centimeters.
To find how long the block of white chocolate fudge is, ℓ, you can use the formula for the volume of a rectangular prism.
V
= ℓwh
360
= ℓ66
360
= ℓ36 Multiply 6 by 6
360
36
=
ℓ36
36
Divide both sides by 36
10
= ℓ Simplify
The block of white chocolate fudge is 10 centimeters long.
Subtract to find how much longer the block of milk chocolate is than the block of white chocolate fudge.
14–10=4
The block of milk chocolate fudge is 4 centimeters longer than the block of white chocolate fudge.
What is the slope of the line that goes through (-5,-5) and (5,-7)
Answers
Answer: The slope would be -1/5
Heres a graph
Hope this helps!
A diner has collected data about customer coffee-drinking habits. They have calculated that P(cream) = 0. 5, P(sugar) = 0. 6, and P(cream or sugar) = 0. 7. Determine the P(cream and sugar). 0. 4 0. 5 0. 6 0. 7.
Answers
Probability of an event is the measure of its chance of occurrence. The value of the probability P(cream and sugar) is given by: Option A: 0.4
What is the addition rule of probability for two events?For two events A and B, we have:
Probability that event A or B occurs = Probability that event A occurs + Probability that event B occurs - Probability that both the event A and B occur simultaneously.
This can be written symbolically as:
[tex]P(A \cup B) = P(A) + P(B) - P(A \cap B)[/tex]
For the considered case, the probabilities are:
P(cream) = 0. 5P(sugar) = 0. 6P(cream or sugar) = 0. 7Thus, we get;
P(cream or sugar) = P(cream) + P(sugar) - P(cream and sugar)
0.7 = 0.5 + 0.6 - P(cream and sugar)
P(cream and sugar) = 1.1 -0.7 = 0.4
Thus, the value of the probability P(cream and sugar) is given by: Option A: 0.4
Learn more about probability here:
brainly.com/question/1210781
WILL GIVE BRAINLIEST IF CORRECT PLEASE ANSWER!!!!!
The triangle below is isosceles, Find the length of side x to the nearest tenth.
Answers
Answer: 3.5
Step-by-step explanation:
Which equation describes a line with a slope of 2/5 and a y-intercept at (0, 4)?
Answers
Answer:
y=2/5x+4
Step-by-step explanation:
because 4 would be where the line crosses the number 4 on the y axis which puts it at the back and the slope is x because it increases by an amount indescribable.
step by step explanation:
Explain if she correct or not. If she is correct, justify her claim. If she is not correct, explain her error and state the correct GCF.
PLEASE HELP ME OUT!!!!
Answers
Answer:
Marcia is not correct.
See explanation below.
Step-by-step explanation:
The terms are
2x²
4xy
8xy^4
The terms broken down into products of prime factors are:
2x² = 2 × x × x
4xy = 2 × 2 × x × y
8xy^4 = 2 × 2 × 2 × x × y × y × y × y
To find the GCF, we circle the common factors of the three terms (here we use bold type instead of circling.)
2x² = 2 × x × x
4xy = 2 × 2 × x × y
8xy^4 = 2 × 2 × 2 × x × y × y × y × y
The GCF is the products of the circled (bold) factors.
GCF = 2x
Marcia's answer is the Least Common Multiple.
For the LCM, you use all factors that are common and not common with the larger exponent.
LCM = 2 × 2 × 2 × x × x × y × y × y × y = 8x²y^4
Marcia's mistake is that she calculated the LCM instead of the GCF.
Answer:
Marcia is not correct.
The explanation is above.
Answer:
See below.
Step-by-step explanation:
2x^2, 4xy, and 8xy^4
She is incorrect.
The GCF is 2x.
She found the greatest term, rather than the greatest factor.
-hope it helps
Inez and her friends are buying ride tickets at an amusement park. Order these options from best buy to worst.
Option A: 18 tickets for $13.50
Option B: 36 tickets for $30.00
Option C: 60 tickets for $39.00
Answers
Solve the inequality if possible 6 (x + 3 )<5x+18+x
Answers
Answer:
x < 3
Step-by-step explanation:
6(x + 3) < 5x + 18 + x
6x + 18 < 6x + 186x + 6x < 18 + 1812x < 36x < 36 ÷ 12x < 310. Which graph best represents the equation y = 1.5x -2?
Answers
how does identifying the mean on an ordered-value bar graph help you find the mean on a dot plot?
Answers
Answer:
To find the mean, add up all the values and then divide by the number of values. The median is the value that is exactly..
What is the mass of Cl2
Answers
Answer:
molar mass of carbon-12
Step-by-step explanation: