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3 years ago

Type to justify why the two larger triangles are congruent

Mathematics

1 answer:

dexar [7]3 years ago

4 0

Answer:

Step-by-step explanation:

We are dealing with triangle DAB and CBA.

Angles DAB and CBA are right angles making the triangles right triangles.

Side AB is congruent to side BA. That is a leg of each of the two triangles.

Side DB is congruent to side CA. Tat is a leg of each triangle.

The triangles are congruent by HL.

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If f(x) = 2x - 3, find f(-2).

Ne4ueva [31]

Answer:

f(-2) = -7

Step-by-step explanation:

f(-2) = 2(-2) - 3

f(-2) = -4 -3

f(-2) = -7

8 0

3 years ago

Solve 2sin2(x) – 5sin(x) – 3 = 0. Let u = sin(x). Which of the following is equivalent to the given equation?

Orlov [11]

Answer:

$x=(-1)^{k+1}\cdot \dfrac{\pi}{6}+\pi k,\ k\in Z$

Step-by-step explanation:

Consider the equation

$2\sin^2x-5\sin x-3=0$

Substitute

$u=\sin x$

into the equation:

$2u^2-5u-3=0$

This is quadratic equation, where

$D=(-5)^2-4\cdot 2\cdot (-3)=25+24=49\\ \\\sqrt{D}=7$

Hence,

$u_1=\dfrac{-(-5)-\sqrt{D}}{2\cdot 2}=\dfrac{5-7}{4}=-\dfrac{1}{2}\\ \\u_2=\dfrac{-(-5)+\sqrt{D}}{2\cdot 2}=\dfrac{5+7}{4}=3$

Now, use the substitution again:

1. When $u_1=-\dfrac{1}{2},$ then

$\sin x=-\dfrac{1}{2}\\ \\x=(-1)^k\sin^{-1}\left(-\dfrac{1}{2}\right)+\pi k,\ k\in Z\\ \\x=(-1)^k\cdot \left(-\dfrac{\pi}{6}\right)+\pi k,\ k\in Z\\ \\x=(-1)^{k+1}\cdot \dfrac{\pi}{6}+\pi k,\ k\in Z$

2. When $u_2=3,$ then

$\sin x=3$

This equation has no solutions, because the range of $\sin x$ is $[-1,1]$ and 3>1.

4 0

4 years ago

Read 2 more answers

Please find what the value of x and y is!!!

beks73 [17]

Answer:

x = 3; y = 2

Step-by-step explanation:

You would just set each side equal to its opposite so for x, it'll be like:

4x+6=7x-3

and for y:

4y-3=3y+1

I attached my work below as well to help you.

7 0

3 years ago

Which of the following is a perfect square trinomial?

myrzilka [38]

I think the answer is A

7 0

3 years ago

A principal of $3000 was

uranmaximum [27]

Answer:

r = 0.05 or 5%

Step-by-step explanation:

3450 = 3000 + (3000 · r · 3)

450 = 9000 · r

450/9000 = r

r = 0.05 or 5%

5 0

3 years ago