All categories

3 years ago

What are the angle measure of x and y

Mathematics

2 answers:

Kipish [7]3 years ago

8 0

Assuming these two lines are parallel, x=106 as they are corresponding angles, and y=180-106, so y=74.

Hitman42 [59]3 years ago

8 0

Y=74 hope this helps

You might be interested in

The inverse of the function f(x) = { x + 10 is shown.

velikii [3]

Answer:

Step-by-step explanation:

f(x) = x + 10

Replace f(x) with y.

y = x + 10

Now, remember that in an inverse function you flip the x and y, so

x = y + 10

Solve for y

y = x - 10

because it's 2x... we must multiply by 2.

2y = 2x - 20

Original equation:

h(x) = 2x - 0

h(x) is 2y..

4 0

3 years ago

Ages Number of students 15-18 6 19-22 4 23-26 5 27-30 7 31-34 10 35-38 9 Based on the frequency distribution above, find the rel

dolphi86 [110]

Answer:

9.8%

Step-by-step explanation:

Given the following information

$\left|\begin{array}{c|cccccc}Ages &15-18&19-22&23-26&27-30&31-34&35-38\\$Number of students&6&4&5&7&10&9\end{array}\right|$

Total Number of Students =6+4+5+7+10+9=41

Number of Students aged 19-22 =4

Therefore:

The relative frequency for the class with a lower class limit of 19

$=\dfrac{4}{41}\times 100\\\\ =9.8\% $(to one decimal place)$

8 0

3 years ago

5. Find the first, fourth, and tenth terms of the arithmetic

Lubov Fominskaja [6]

The first, fourth and tenth terms of the arithmetic sequence is $-6, -\frac{27}{5}$ and $-\frac{21}{5}$

Explanation:

The given rule for the arithmetic sequence is $A(n)=-6+(n-1)(\frac{1}{5} )$

We need to determine the first, fourth and tenth terms of the sequence.

To find the first, fourth and tenth terms, let us substitute $n=1,4,10$ in the general rule for the arithmetic sequence.

To find the first term, substitute $n=1$ in $A(n)=-6+(n-1)(\frac{1}{5} )$ , we get,

$A(1)=-6+(1-1)(\frac{1}{5} )$

$A(1)=-6+(0)(\frac{1}{5} )$

$A(1)=-6$

Thus, the first term of the arithmetic sequence is -6.

To find the fourth term, substitute $n=4$ in $A(n)=-6+(n-1)(\frac{1}{5} )$ , we get,

$A(2)=-6+(4-1)(\frac{1}{5} )$

$A(2)=-6+(3)(\frac{1}{5} )$

$A(2)=\frac{-30+3}{5}$

$A(2)=\frac{-27}{5}$

Thus, the fourth term of the arithmetic sequence is $-\frac{27}{5}$

To find the tenth term, substitute $n=10$ in $A(n)=-6+(n-1)(\frac{1}{5} )$ , we get,

$A(10)=-6+(10-1)(\frac{1}{5} )$

$A(10)=-6+(9)(\frac{1}{5} )$

$A(10)=-6+\frac{9}{5}$

$A(10)=-\frac{21}{5}$

Thus, the tenth term of the arithmetic sequence is $-\frac{21}{5}$

Hence, the first, fourth and tenth terms of the arithmetic sequence is $-6, -\frac{27}{5}$ and $-\frac{21}{5}$

3 0

4 years ago

Triangle ABC is similar to triangle QRS by the AA Similarity Postulate. Also, m∠A = 72° and m∠S = 56°. What is m∠B?

White raven [17]

∠B = 52°

Since the triangles are similar then

∠C = ∠S = 56°

∠B = 180° - (72 + 56)° = 52°

7 0

4 years ago

Following is the data of new car color preferences for U.S. buyers. New Car Color Preferences for U.S. Buyers Color Percent Blue

horsena [70]

Answer:

The chart A is correct

Pareto Chart

Step-by-step explanation:

Given chart is missing (Attached)

Find:

- Which chart represents the correct data.

- What other chart can be used to express the given data

Solution:

- Use the given values for each color and compare with the three charts A,B and C given.

For Blue = A (12) , B(12) , C(11)

For Green = A(7) , B(13) , C(12)

- Hence, The chart A is correct.

- Any other chart which can correctly express the information given should be a chart that uses bars or frequency to expresses the percentages. Pareto Chart expresses both bars and line chart(curve) to express the frequency of the data.

5 0

4 years ago