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3 years ago

The complement of an angle measures 20 more than the angle. Find the number of degrees in the angle

Mathematics

2 answers:

padilas [110]3 years ago

6 0

Let the measure of its complement be x°.
then, measure of angle = (x + 20)°. and measure of angle = (35 + 20)° = 55°

lana [24]3 years ago

4 0

Answer:

35°

Step-by-step explanation:

Two angles are complementary if they add to 90 degrees.

Set up your equation;

x+x+20=90

-20=90-20

2x=70

/2=/2

x=35

Therefore, the first angle is 35 degrees, and the second is 55 degrees.

Hope this helps:) Have a good rest of your day!

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ZanzabumX [31]

Answer: 5

Step-by-step explanation:

Setting them equal (since both are equal to f(x)), we get:

-5x+8 = -17

-5x=-25

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3 years ago

Solve the following equation for X.<br> 3x – 9 = -33

IceJOKER [234]

Answer:

Option D is the right option

solution,

$3x - 9 = - 33 \\ or \: 3x = - 33 + 9 \\ or \: 3x = - 24 \\ or \: x = \frac{ - 24}{3} \\ x = - 8$

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3 years ago

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The point P = (2/5, y) lies on the unit circle shown below. What is the value of y in

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3 years ago

Parallelogram ABCD has vertices at A(2,-3), B(8,-6), Cl14,-3), and D(8,0)

OlgaM077 [116]

Answer:

The correct option is C.

Step-by-step explanation:

The vertices of ABCD are A(2,-3), B(8,-6), C(14,-3), and D(8,0).

Distance formula:

$d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$

The length of sides are

$AB=\sqrt{(8-2)^2+(-6+3)^2}=\sqrt{36+9}=\sqrt{45}$

$BC=\sqrt{(14-8)^2+(-3+6)^2}=\sqrt{36+9}=\sqrt{45}$

$CD=\sqrt{(8-14)^2+(0-3)^2}=\sqrt{36+9}=\sqrt{45}$

$AD=\sqrt{(8-2)^2+(0+3)^2}=\sqrt{36+9}=\sqrt{45}$

Since length of all sides are equation therefore the given parallelogram cannot be a rectangle.

Slope formula:

$m=\frac{y_2-y_1}{x_2-x_1}$

Slope of AB is

$m_1=\frac{-6-(-3)}{8-2}=\frac{-3}{6}=\frac{-1}{2}$

Slope of BC is

$m_2=\frac{-3-(-6)}{14-8}=\frac{3}{6}=\frac{1}{2}$

Since the slopes of two consecutive sides are not opposite reciprocals, therefore the given parallelogram is a rhombus. Option C is correct.

8 0

3 years ago

a truck traveled 60 km per hour the first hour, 45 miles per hour as the next 30 minutes and 50 km per hour in next 45 minutes w

-BARSIC- [3]

Answer:
134 kilometers or 83 miles.

Explanation:
First make all the units equivalent, so
60 km/h = 60 km/h or 37.28 m/h
45 m/h = 72.42 km/h or 45 m/h
50 km/h = 50 km/h or 31.07
So in one hour the car has gone 60 km or 37.28 m because they travel at 60km/h, which means they get that far in that amount of time.
In half an hour they get half of 45 miles, because 45 m/h means they get 45 miles in 60 minutes, so in 30 minutes, or half and hour, they are getting half of 45 = 22.5 miles or 36.21 kilometers.
In 45 minutes they are getting 75% of 50 km because 45 minutes is 75% of an hour. So 75% of 50 is 37.5 km or 23.3 miles.

Add this all together and get:
Kilometers:
60 + 36.21 + 37.5 = 133.71 km
Miles:
37.28 + 22.5 + 23.3 = 83.08 m
133.71 km = 83.08 So it checks out.
This is approximately 134 km or 83 miles.

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3 years ago