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Lostsunrise [7]
3 years ago
7

Determine if the 2 triangles are congruent.

Mathematics
1 answer:
Taya2010 [7]3 years ago
3 0
The answer is SAS which is C
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Complete the square than convert to vertex form. y=2x^2+8x-9​
8_murik_8 [283]

y=2x^2+8x-9\\D=b^2-4ac\\D=64-4(2)(-9)\\D=64+72 > 0

There are 2 roots so the only way to complete the square is,

y=2x^2+8x-9\\y=2[(x^2+4x)]-9\\y=2[(x^2+4x+4)-4]-9\\y=2[(x+2)^2-4]-9\\y=2(x+2)^2-8-9\\y=2(x+2)^2-17

Just factor 2 out of 2x^2+8x (just ignore the -9) then find the number that will make the terms be able to complete the square.

then complete the square and multiply 2 inside the brackets.

subtraction as you already get the vertex form and know how to complete the square.

Vertex Form: y=2(x+2)^2-17

3 0
3 years ago
The slope of the line below is 1.5. Write the equation of the line in point-slope form, using the coordinates of the labeled poi
Nataly [62]
Point slope form equation: y - y1 = m(x - x1)
in this case

y - 3 = 1.5(x - 4)

Answer
Point slope form equation:
y - 3 = 1.5(x - 4)
5 0
3 years ago
The last line of a proof represents
WARRIOR [948]
The last line of a proof represents: The conclusion!

5 0
3 years ago
If a student is 65.0 in tall, what is her height in m? (2.54 cm = 1 inch)
spayn [35]

Answer:

Height of the student=1.651m

Step-by-step explanation:

Given: Height of a student= 65.0 inch.

To find: Height of a student in meters.

Solution:

We know that 1 inch=2.54 cm, then

65.0 inch will be =2.54{\times}65.0

65.0 inch will be=165.2 cm

Also, we know that 1cm=\frac{1}{100} m, then

165.2 cm will be equal to=\frac{1}{100}{\times}165.1

165.2 cm will be equal to=1.651 meters

Therefore, the height of a student in meters will be 1.651 meters.

5 0
3 years ago
Triangle △ABC is reflected across line n to create △ A'B'C', What is the measure of ∠C?
Ilya [14]

The measure of ∠C is 54°.

<h3>To solve the problem :</h3>

let us assume that line n is a mirror.

∴ ∠A = ∠A' = 59°

∠B = ∠B' = 67°

∠C = ∠C'

According to property of triangles :

Sum of all angles of a triangle is 180°.

∴ A + B + C = 180°

59 + 67 + C = 180

C = 180 - (59 +67)

C = 54°

<h3>∴ The measure of ∠C is 54°.</h3>

To know more about triangles refer to :

brainly.com/question/1620555

#SPJ2

6 0
2 years ago
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