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3 years ago

12

Given that PHT is a right triangle and HY is an altitude, what is the missing justification in the proof that (ph)^2 +(HT)^2=(PT

) ^2
A. Right triangle similarity postulate
B. SSS similarity postulate
C. AA similarity postulate
D. SAS similarity postulate

1 answer:

aliya0001 [1]3 years ago

4 0

Your answer will be c

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What is the value of x?

polet [3.4K]

Answer:

71°

Step-by-step explanation:

All angles inside of a triangle add up to 180°, so you need to find angles that add up properly. First, you should subtract 38 from 180, which gives you 142°. Now, if you look at the outer measurements, you can clearly see that this triangle is isosceles, meaning it has both two congruent sides and angles. So we are left with 142, and it needs to be dispersed evenly into the two angles because they are congruent, so divide by 2 and you get 71° for X.

8 0

4 years ago

Write an equation in slope-intercept form of the line that bisects the angle formed by BA and BC

slega [8]

Given:

Angled formed by ray BA and ray BC is 90 degrees.

To find:

The equation of line that bisects the angle formed by ray BA and ray BC.

Solution:

If a line bisects the angle formed by ray BA and ray BC, then it must be passes through point B and makes angles of 45 degrees with ray BA and ray BC.

It is possible if the line passes though point B(-1,3) and other point (-2,4).

Equation of line is

$y-y_1=\dfrac{y_2-y_1}{x_2-x_1}(x-x_1)$

$y-3=\dfrac{4-3}{-2-(-1)}(x-(-1))$

$y-3=\dfrac{1}{-1}(x+1)$

$y-3=-x-1$

Add 3 on both sides.

$y=-x-1+3$

$y=-x+2$

Therefore, the required equation of line is $y=-x+2$ .

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4 years ago

Which polynomial is prime?

finlep [7]

we know that

If the only factors a polynomial are $1$ and itself, then that polynomial is prime.

so

If the polynomial has at least one root (one x-intercept) then the polynomial is not prime

Using a graph tool

<u>case 1) </u>

$x^{3}+ 3x^{2} + 2x+ 6$

see the attached figure N 1

The polynomial has one root-------> the polynomial is not prime

<u>case 2) </u>

$x^{3} + 3x^{2} - 2x - 6$

see the attached figure N 2

The polynomial has three roots-------> the polynomial is not prime

<u>case 3) </u>

$10x^{2}-4x+3x + 6$

$10x^{2} -x + 6$

see the attached figure N 3

The polynomial has zero roots-------> the polynomial is prime

<u>case 4)</u>

$10x^{2}-10x+6x - 6$

$10x^{2} -4x - 6$

see the attached figure N 4

The polynomial has two roots-------> the polynomial is not prime

therefore

<u>the answer is</u>

$10x^{2}-4x+3x + 6$ ------> is prime

8 0

3 years ago

Read 2 more answers

Peter have twice as many stickers as Joe. Joe has 40 more stickers than Emily. They have 300 stickers together. How many sticker

Varvara68 [4.7K]

Answer:

170

Step-by-step explanation:

The given relations can be used to write and solve an equation for the number of stickers Peter has.

<h3>Setup</h3>

Let p represent the number of stickers Peter has. That is twice as many as Joe, so Joe has (p/2) stickers. Joe has 40 more stickers than Emily, so the number of stickers Emily has is (p/2 -40).

The total number of stickers is 300:

p +p/2 +(p/2 -40) = 300

<h3>Solution</h3>

2p = 340 . . . . . . . . . . . . . . add 40, collect terms

p = 170 . . . . . . . . . . . divide by 2

Peter has 170 stickers.

__

<em>Additional comment</em>

Joe has 170/2 = 85 stickers. Emily has 85-40 = 45 stickers.

We could write three equations in three unknowns. Solving those using substitution would result in substantially the same equation that we have above. Or, such a system of equations could be solved using a calculator's matrix functions, as in the attachment.

p +j +e = 300

p -2j +0e = 0

0p +j -e = 40

4 0

1 year ago

Find the missing length of the right triangle.<br> a<br> 21<br> 35

WITCHER [35]

Answer:

28

Step-by-step explanation:

Use the pythagorean theorem and solve for a:

a² + b² = c²

a² + 21² = 35²

a² + 441 = 1225

a² = 784

a = 28

So, the missing length is 28.

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3 years ago