All categories

3 years ago

Find the compliment of an angle whose supplement is 115 degrees.

Mathematics

1 answer:

Romashka-Z-Leto [24]3 years ago

7 0

Answer:

25°

Step-by-step explanation:

A supplementary angle refers to two angles that measure up to 180° degrees when added together.

Let x = one of the angles

Let y = 115°

$x + y = 180^{\circ}$

$x = 180 - y$

$x = 180 - 115$

x = 65°

To find the complementary angle;

A complementary angle refers to two angles that measure up to 90° degrees when added together.

Let a = one of the angles.

Let b = 65°

$a + b = 90^{\circ}$

$a = 90 - b$

$a = 90 - 65$

a = 25°

<em>Therefore, the complement of an angle whose supplement is 115 degrees is 25 degrees. </em>

You might be interested in

Divide 254 by 11.8. Round your answer to the nearest hundredth. A. 20.97 B. 21.53 C. 21.35 D. 22.07

Rainbow [258]

The answer is B 21.53

7 0

3 years ago

Read 2 more answers

The weight of 100 identical samples of a substance is

serious [3.7K]

0.1 / 100 * 10 = 0.01 pounds

8 0

3 years ago

Somebody please help so I can pass, please

ASHA 777 [7]

First, we are going to find the vertex of our quadratic. Remember that to find the vertex $(h,k)$ of a quadratic equation of the form $y=a x^{2} +bx+c$ , we use the vertex formula $h= \frac{-b}{2a}$ , and then, we evaluate our equation at $h$ to find $k$ .

We now from our quadratic that $a=2$ and $b=-32$ , so lets use our formula:
$h= \frac{-b}{2a}$
$h= \frac{-(-32)}{2(2)}$
$h= \frac{32}{4}$
$h=8$
Now we can evaluate our quadratic at 8 to find $k$ :
$k=2(8)^2-32(8)+56$
$k=2(64)-256+56$
$k=128-200$
$k=-72$
So the vertex of our function is (8,-72)

Next, we are going to use the vertex to rewrite our quadratic equation:
$y=a(x-h)^2+k$
$y=2(x-8)^2+(-72)$
$y=2(x-8)^2-72$
The x-coordinate of the minimum will be the x-coordinate of the vertex; in other words: 8.

We can conclude that:
The rewritten equation is $y=2(x-8)^2-72$
The x-coordinate of the minimum is 8