All categories

3 years ago

Determine the angles of b and c . Let a =40’ if b is a compliment of a and c is a supplement of b find these measures

Mathematics

1 answer:

Fofino [41]3 years ago

8 0

Answer:

b = 50°

c = 130°

Step-by-step explanation:

Two angles A and B are complementary if:

A + B = 90°

And two angles are supplementary if:

A + B = 180°

Then, we know that:

a = 40°

b is a complement of a (this means that a and b are complementary angles)

c is a supplement of b (this means that b and c are supplementary angles).

From the first statement, we have that:

b + a = 90°

Replacing the value of a we get

b + 40° = 90°

b = 90° - 40° = 50°

b = 50°

And now we can use that b and c are supplementary, then:

b + c = 180°

replacing the value of b we get:

50° + c = 180°

c = 180° - 50° = 130°

c = 130°

Then the values we wanted are:

b = 50°

c = 130°

You might be interested in

Write in point-slope form the equation of the line that is parallel to the given line and passes through the given point.Your fi

SOVA2 [1]

Answer:

$y = x$

Step-by-step explanation:

The given equation is

$y = x + 5$

The slope of this line

$m = 1$

Since all parallel lines have the same slope, the slope of our line is also m=1.

We now use the point-slope formula

$y-y_1=m(x-x_1)$

Since the line passes through (-1,-1)

We gave

$x_1=-1,y_1=-1$

We substitute the slope and point to get

$y - - 1 = 1(x - - 1)$

$y + 1 = x + 1$

$y = x$

6 0

3 years ago

What does the remainder theorem conclude given that f(x)x+3 has a remainder of 11?

Slav-nsk [51]

By the remainder theorem of polynomial division, the complete equation is f(-3) = 11

<h3>How to complete the blanks?</h3>

The equation is given as:

f(x)/x + 3

Set the divisor to 0

x + 3 = 0

Solve for x

x = -3

Given that the quotient has a remainder of 11.

It means that:

f(-3) = 11

Hence, the complete equation is f(-3) = 11

Read more about remainder theorem at:

brainly.com/question/13328536

#SPJ1

5 0

3 years ago

The hat company received a shipment of 60 novelty baseball caps. Of the caps, 1/3 had bug antenna, 2/5 had moose antlers, and th

levacccp [35]

Answer:

18 plastic propellers, 18 Bug Antenna, 24 moose antlers,

Step-by-step explanation:

When we multiply our total sum of 60 by certain decimal values by converting the factions to decimals we can get each type of hats count.

1/3 works out to be 0.30

60×0.3 = 18

2/5 works out to be 0.40

60×0.4 = 24

To find out the remaining amount that is plastic propellers you subtract the added hats and the total value.

60 - (18 + 24)

60 - 42

6 0

3 years ago

Solve the equation. <br><br><br> 12=2+z/-6

Bogdan [553]

Answer:

$\boxed{\bold{z=-60}}$

Step-by-step explanation:

Switch Sides

$\bold{2+\frac{z}{-6}=12}$

Subtract 2 From Both Sides

$\bold{2+\frac{z}{-6}-2=12-2}$

Simplify

$\bold{\frac{z}{-6}=10}$

Multiply Both Sides By -6

$\bold{\frac{z\left(-6\right)}{-6}=10\left(-6\right)}$

Simplify

$\bold{z=-60}$

3 0

3 years ago

Read 2 more answers

Pre-Calculus question:

zhuklara [117]

You already have figured the main idea. In this case, the population is growing 1.9% a year. This word can be translated into: multiplied by 101.9% (100+1.9%). That means the P0 is 6 bill, the base is 101.9%(or 1.019) and the time is 50 years. The calculation would be:
<span>P(t)=P₀a^t
</span>P(t)=6 billion * 101.9%^50= 6 billion * <span>2.56276= 15.38 billion</span><span>

</span>

5 0

3 years ago