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3 years ago

(25 points) Which of the following equations matches the graph above?

Mathematics

1 answer:

Dennis_Churaev [7]3 years ago

8 0

Answer:

Step-by-step explanation:

y intercept: 3

Slope: rise 2 run 1 so -2/1 or -2

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What angle measure is complementary to 87 degrees?

Papessa [141]

I’m pretty sure it’s 93. since a complementary angle is equal to 180, 87 + 93 = 180

3 0

3 years ago

1. Identify the pair of fractions equivalent to 25/45 *

stepladder [879]

Answer:

Hope this helps! Brainliest please

Step-by-step explanation:

1. Divide both by 5, so the correct answer would be 5/9, and then multiply both by 3, so the correct answer would be 75/135. The answer is 5/9,75/135

2. 4 and 2/7 because 7 *4=28. That leaves 2 sevenths over.

3. Divide both by 9. Your answer is 3/4

6 0

3 years ago

10 points

ollegr [7]

Answer:

$FC=25.9$

Step-by-step explanation:

<u>Congruent Triangles</u>

The figure shows two triangles FCD and FED. One of their sides is the radius of the circle, they both form a 90° angle with the line CD and ED and they share the same segment FD.

Thus, both triangles are congruent and we have the length of a side (12 units), one common side (the hypotenuse) and one unknown leg that must be equal. Therefore

$13x-16=4x+11$

Solving

$9x=27$

$x=3$

The required side FD is the hypotenuse of any of the triangles. The unknown leg can be calculated by

$13x-16=23$

$4x+11=23$

Thus

$FD^2=12^2+23^2=673$

Solving

$FD=\sqrt{673}$

$\boxed{FC=25.9}$

5 0

3 years ago

1/3 divided by 3/4 = simplified

GenaCL600 [577]

Answer:

4/9

Step-by-step explanation:

1/3 divided by 3/4

find the reciprocal of 3/4

reciprocal of 3/4 = 4/3

multiply 1/3 x 4/3 which is 4/9

4 0

2 years ago

(cos A + cos b)^2 + (sin A + sin B)^2=?

emmasim [6.3K]

First, we expand the equation:

$cos^{2}A+2cosAcosB+ cos^{2}B+sin^{2}A+2sinAsinB+sin^{2}B$

Then, we combine certain terms in order to simplify them using trigonometry identities.

$cos^{2}A+sin^{2}A+cos^{2}B+sin^{2}B+2cosAcosB+2sinAsinB$

Note these identities:
Pythagoran relation: $cos^{2}A+sin^{2}A = cos^{2}B+sin^{2}B=1$
Sum and Difference Formula/Identities: $cos(A-B) = cosAcosB+sinAsinB$

Thus, if we apply these identities, the simplified equation would be:
$2(cos(A-B))+2$

Simplying further, the answer would be

$2[cos(A-B)+1]$

6 0

3 years ago