The AAS congruence method requires 2 angles and their un-included side to be congruent. ∠A ≅ ∠E due to the markings, ∠C ≅ ∠C because they are vertical angles, and AB ≅ ED due to the markings. 2 angles and their un-included side are congruent.

As for the congruence statement, A is the correct answer because ∠A ≅ ∠E, ∠B ≅ ∠D, and ∠C ≅ ∠C. The order of the naming of the triangles aligns to the angle's congruence.

3 0

3 years ago

Read 2 more answers

The graph represents function 1, and the equation represents function 2: A graph with numbers 0 to 4 on the x-axis and y-axis at

balu736 [363]

Answer:

its 7 i got it right on the test :)

7 0

3 years ago

Please help me with these 5 questions!

kipiarov [429]

Answer:

Part 2) Option D. yes; k = 1/4 and y = 1/4x

Part 6) Option D. y = 1/5x-1

Part 8) Option C. line b

Part 11) Option D. -1/5

Part 15) Option A. line a

Step-by-step explanation:

Part 2) we know that

A relationship between two variables, x, and y, represent a directly variation if it can be expressed in the form $y=kx$

In a proportional relationship the constant of proportionality k is equal to the slope m of the line and the line passes through the origin

In this problem the line passes through the origin

therefore

Yes. y varies directly with x

Let

A(4,1)

The constant k is equal to

$k=y/x$

substitute

$k=1/4$

the equation is equal to

$y=(1/4)x$

Part 6) we know that

The y-intercept of the trend line is -1 (For x=0)

The slope of the trend line is positive

The x-intercept of the trend line is 5 (For y=0)

therefore

the equation is equal to

$y=(1/5)x-1$

Part 8) we have

$y+4=-\frac{2}{3}x$

This is the equation of a line into point slope form

The slope is negative $m=-2/3$

Pass through the point (0,-4) ----> y-intercept

The x-intercept is equal to

$0+4=-\frac{2}{3}x$

$x=-4*3/2=-6$

therefore

Is the line b

Part 11)

What is the slope of the line through the points (–2, –1) and (8, –3)?

we know that

The formula to calculate the slope between two points is equal to

$m=\frac{y2-y1}{x2-x1}$

substitute the values

$m=\frac{-3+1}{8+2}$

$m=\frac{-2}{10}$

simplify

$m=-\frac{1}{5}$

Part 15) we have

$y=3x-2$

The slope is positive $m=3$

The y-intercept is -2 (For x=0)

The x-intercept is (For y=0)

$0=3x-2$

$3x=2$

$x=2/3$

therefore the line is a

7 0

3 years ago

Dixon and his little sister Ariadne stand next to each other on the playground on a sunny afternoon. Their mother measures their

nataly862011 [7]

<span>We can use the proportion. We already know that Dixon is 6 ft tall and that his shadow is 9 ft long. Also we know that the shadow of his sister is 6 ft long. 6 : x = 9 : 6, or 6 / x = 9 / 6. After that we will cross multiply : 9 * x = 6 * 6, 9 x = 36 , x = 36 : 9, x = 4. Answer: Ariadne is 4 feet tall.Hope I helped! :) Cheers!</span>

4 0

4 years ago

**70 POINTS** NO GUESSING

70 POINTS NO GUESSING