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Drupady [299]
2 years ago
8

Find the value of x and the measure of each labeled angle. (8x - 20ºX (5x + 37)​

Mathematics
1 answer:
11111nata11111 [884]2 years ago
5 0

According to above figure, the angles (8x - 20)° and (5x + 37)° are pairs of vertical opposite angles, so

  • 8x - 20 = 5x + 37

  • 8x - 5x = 37 + 20

  • 3x = 57

  • x = 57 ÷ 3

  • x = 19
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6 0
2 years ago
What is the image point of (6, 7) after a translation left 5 units and up 3
BlackZzzverrR [31]

Answer:

the new point would be (1, 10).

Step-by-step explanation:

if you start with the point (6, 7) and go left 5 units and up 3 units, then the new point you land on is (1, 10) as you can see in the picture below. hope this helped!

6 0
3 years ago
Write the equation for this line in y=blanks+blank<br><br> **Please see picture**
Diano4ka-milaya [45]

Equation for this line is y = -2x + (-4)

<u>Step-by-step explanation:</u>

Step 1:

Slope intercept equation for a line is of the form y= mx +  b, where m is the slope and b is the y-intercept.

Step 2:

Calculate slope of the given line.

⇒ m = (y2 - y1)/(x2 - x1) = (2 - (-2))/(-3 - (-1)

⇒ m = 4/-2 = -2

Step 3:

Find y-intercept

⇒ b = - 4

Step 4:

Substitute values to get equation

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5 0
3 years ago
One mirror is to be in the shape of a triangle whose height is 6 feet less than twice the base of the mirror. If the mirror has
Vlad1618 [11]

Answer:

Base of the mirror is 12 feet and height of the mirror is 18 feet.

Step-by-step explanation:

Given:

Area of the triangular mirror = 108 sq ft.

Let base (b) of the mirror be x.

Now given:

height is 6 feet less than twice the base of the mirror

So we can say that;

Height (h) = 2x-6

We need to find the base and height of the mirror.

Solution:

Now we know that mirror is in triangular shape so we will apply area of triangle formula to find base and height.

Now Area of triangle is half times base times height.

framing in equation form we get;

108=\frac{1}{2} \times x \times(2x-6)\\\\108=\frac{1}{2}\times x \times 2(x-3)\\\\108=x(x-3)\\\\108=x^2-3x\\\\x^2-3x-108=0

Now we will find the roots of x by factorizing the equation we get;

x^2-12x+9x-108=0\\\\x(x-12)+9(x-12)=0\\\\(x-12)(x+9)=0

Now we will solve for 2 values of x we get;

x-12=0\\\\x=12\ ft\\\\Also;\\\\x+9=0\\\\x=-9\ ft

Now we get 2 values of 'x' one positive and one negative.

Since x is base of the triangle which cannot be negative.

so we will discard the negative value.

Hence;

base of triangle = 12 ft

Height of the triangle = 2x-6=2\times12-6 =24-6 =18\ ft

Hence Base of the mirror is 12 feet and height of the mirror is 18 feet.

7 0
3 years ago
please help! A cheetah travels at a rate of 90 feet per second.The distance d traveled by the cheetah is a function of seconds t
Juliette [100K]
<h2><em>The equation would be d=90t because the input is 25 for t and multiply to get 2250 feet per second</em>. </h2>
6 0
3 years ago
Read 2 more answers
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