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4 years ago

Find the values of x and y.

Mathematics

2 answers:

True [87]4 years ago

6 0

Its A
7x+7= 112

7x= 112-7
7x=105
x=105/7
x=15

To find y
180-112=68
68/4 =17
x= 15 y=17

Serggg [28]4 years ago

4 0

Answer:

A. x = 15, y = 17

Step-by-step explanation:

The given figure shows us the two lines are intersecting each other.

When the two lines are intersecting each other, the opposite angles must be equal.

Using this property, we can write

7x + 7 = 112 because opposite angles are equal.

From this equation, we can find the value of x.

Subtract 7 on both sides, we get

7x + 7 - 7 = 112 - 7

7x = 105

Dividing both sides by 7, we get

7x/7 = 105/7

x = 15

The value of x = 15

Now let's find the value of y.

From the given figure 7x + 7 and 4y are supplementary angles. The supplementary angles add upto 180 degrees.

So, 7x + 7 + 4y = 180

Now plug in x = 15 in the above equation, we get

7(15) + 7 + 4y = 180

105 + 7 + 4y = 180

Now we have to solve this equation to find the value of y.

112 + 4y = 180

4y = 180 - 112

4y = 68

Dividing both sides by 4, we get

y = 17

Therefore, x = 15, y = 17

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3 years ago

Write a function to model the volume of a rectangular prism if the length is 10 centimeters and sum of the width and height is 1

valkas [14]

Answer:

Let the length be l, width w and height h, then

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Step-by-step explanation:

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3 years ago

The distribution of heights of young women aged 18 to 24 is approximately normal with a mean of 64.5 inches and a standard devia

Lena [83]

The 68 - 95 - 99.7 rule, gives the basis to solve this question.

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4 years ago

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Rudik [331]

1. The simplified form of -x + 4 is: B. - x + 4

2. B. 4 less than m

3. The property that illustrates the expression, 3 + x = x + 3, is: D. cumulative property of addition.

4. √3

<h3>What is the Commutative Property of Addition?</h3>

According to the Commutative Property of Addition, how numbers that are are added are ordered do not change or affect the sum of the numbers. For example, a + b = b + a.

1. To simplify -(x - 4) using the distributive property:

= -1(x) -1(-4)

= -x + 4

Therefore, the simplified form of -x + 4 is: B. - x + 4

2. m - 4 can be written as a phrase as: B. 4 less than m

3. The property that illustrates the expression, 3 + x = x + 3, is: D. cumulative property of addition.

4. Irrational numbers cannot be expressed, as a simple fraction. √3 cannot be expressed in simple fractions. Therefore, √3 is classified as: B. irrational.

Learn more about cumulative property of addition on:

brainly.com/question/778086

#SPJ1

4 0

2 years ago

What is the diagonal of a right triangle

bekas [8.4K]

Answer:

diagonal of a polygon is a line from a vertex to a non-adjacent vertex. So a triangle, the simplest polygon, has no diagonals. You cannot draw a line from one interior angle to any other interior angle that is not also a side of the triangle.

Step-by-step explanation:

To find the length of the diagonal (or hypotenuse) of a right triangle, substitute the lengths of the two perpendicular sides into the formula a2 + b2 = c2, where a and b are the lengths of the perpendicular sides and c is the length of the hypotenuse. Then solve for c

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3 years ago