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4 years ago

Which postulate or theorem proves that these two triangles are congruent?

Mathematics

2 answers:

fiasKO [112]4 years ago

7 0

The answer would be AAS (angle angle side) theorem

ladessa [460]4 years ago

7 0

Answer:

option B

Step-by-step explanation:

Given in the question are ∠x ≅ ∠y and ∠zwx ≅ ∠ ywz and wz is common in both.

These angles are adjacent angles of triangles.

We know theorem for congruence is Angle - Angle - Side

Therefore, for the congruence of these two triangles option B, AAS congruence theorem is the answer.

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What are the coordinates of point F?

Mekhanik [1.2K]

Answer:

C. 4, -2 1/2

Step-by-step explanation:

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2 years ago

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3 years ago

The point P(x, y) lies on the terminal side of an angle theta = 3 pi/4 in standard position. What are the signs of the values of

Maslowich

3pi/4 is 135 in degrees. A 135-degree angle lies in quadrant 2. In quadrant 2, the x values are negative and the y values are positive.

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3 years ago

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timofeeve [1]

Answer:

y-intecept: (0,14), x-intercept: (-8,0)

Step-by-step explanation:

Let us first solve for the y-intercept, solve the equation for y to set it to slope-intercept form.

$-7x+4y=56\\4y=56+7x\\y=14+\frac{7}{4}x\\y=\frac{7}{4}x+14\\$

Now we have our y-intercept, 14

To solve for the x-intercept, all we have to do is set y to 0 and solve for x:

$0=\frac{7}{4}x+14\\-14=\frac{7}{4}x\\-56=7x\\-8=x$

Therefore our x-intercept is -8.

To find the vector (x and y value) of the x intercept, we set the y value equal to 0, such as the vector of the x-intercept is equal to (-8,0).

For the y-intercept we follow a similar approach setting the x-value equal to 0, making it (0,14)

5 0

2 years ago

Factor by grouping<img src="https://tex.z-dn.net/?f=%284y%5E3%20%2B%2028y%5E2%29%20%2B%20%28y%20%2B%207%29" id="TexFormula1" tit

Inessa05 [86]

We have the following expression given:

$(4y^3+28y^2)+(y+7)$

We can start selecting as common factor 4y^2 and we got:

$4y^2(y+7)+(y+7)$

Now we can select y+7 as common factor and we got:

$(y+7)\left\lbrack 4y^2+1\right\rbrack$

So then our final answer would be:

$(y+7)(4y^2+1)$

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1 year ago