Ask question

Ask question

All categories

2 years ago

12

ALGEBRA Angles G and H are supplementary and congruent. If G and H are alternate interior angles, what is the measure of each an

gle?

1 answer:

vlabodo [156]2 years ago

5 0

The measure of each angle is 90 degrees, because supplementary angles when added together equal 180 and congruent angles are angles which are equal.
180/2=90

You might be interested in

Click an item in the list or group of pictures at the bottom of the problem and, holding the button down, drag it into the corre

LiRa [457]

Answer:

x = 7, -7

Step-by-step explanation:

(2x-1)(3x+2)+x+292

3x - 2x +x = 2 - 1 + 292

(6)x - 294 = 6(x - 49)

Use communicative property of multiplication

Example: (A+B)(A-B)

$Ax^{2} -AB+BA-Bx^{2} =Ax^{2} -AB+AB-Bx^{2} =\\Ax^{2} -Bx^{2}$

49 is the square of 7

x square is the square of x to the power of 1

(x+7)(x-7)

5 0

3 years ago

What is the value of the expression below when x = 10 and y = 2

dedylja [7]

Answer:

There is no expression below.

5 0

3 years ago

Determine the volume of a cube with a side length of 7.5m

satela [25.4K]

Answer:

V≈421.88

Step-by-step explanation:

5 0

3 years ago

50 students were asked what they did last night. 16 said they read a book, 41 said they watched TV, 7 said they did neither, how

Kamila [148]

Answer:

14 students

Step-by-step explanation:

Given

Let:

$b \to$ read a book

$t \to$ watched TV

So, we have:

$n = 50$ -- total

$b = 16$

$t = 41$

$none = 7$

Required

Students that did both (x)

This is calculated using:

$Total = Books\ only + TV\ only + Both + None$

So, we have:

$n = (b - x) + (t - x) + x + none$

This gives:

$50 = (16 - x) + (41 - x) + x + 7$

Open brackets

$50 = 16 - x + 41 - x + x + 7$

$50 = 16 - x + 41 +7$

Collect like terms

$x = 16 - 50 + 41 +7$

$x = 14$

<em>Hence, 14 students did both</em>

6 0

2 years ago

PLEASE HELP FAST 100 EASY POINTS WILL MARK BRAINLEST!!!

spin [16.1K]

Answer:

$y=-1x+8 \\or\\y=-x+8$

Step-by-step explanation:

Okay so we know that line on the triangle DEF that's parallel to the line BC is EF. This because they have the same slope and we can prove that while solving for slope-intercept form.

First we figure out our points for both the lines:

BC: $B=(-2,4) \\C=(1,1)$

EF: $E=(4,4)\\F=(6,2)$

Now that we have our points we can use the slope formula to prove these two line have the same slope and are therefore parallel to eachother:

$\frac{y_1-y_2}{x_1-x_2}$ = Slope Formula

BC = $\frac{4-1}{-2-1} =\frac{3}{-3} =\frac{-3}{3} =-1$

EF = $\frac{4-2}{4-6} =\frac{2}{-2}=\frac{-2}{2}= -1$

So now we proved that both of these lines have a slope of -1. Then we can use the slope intercept formula and one of the points from the line EF to find the y-intercept of the of line EF:

Let's use point = $(4,4)$

$y=4,m=-1,x=4,b=?$

$y=mx+b\\4=-1(4)+b\\4=-4+b\\(+4) 4=-4+b(+4)\\8=b$

We used the formula and found that the y-intercept was $(0,8)$ , so now we plug in all of our answers:

$y=-1x+8$

This is the complete answer but if you wanted to simplify it more you could write it as $y=-x+8$ , cause as long as you make the x negative in the equation it will always be as if you multiplied it by -1.

7 0

2 years ago