1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Sliva [168]
3 years ago
9

The measures of two complementary angles are m angle 1 = (10x+7) and m angle 2=(9x-12) find the measures of both angles

Mathematics
1 answer:
USPshnik [31]3 years ago
5 0

Answer:

m<1 = 57°

m<2 = 33°

Step-by-step explanation:

To find the numerical measure of both angles, let's come up with an equation to determine the value of x.

Given that m<1 = (10x +7)°, and m<2 = (9x - 12)°, where both are complementary angles, therefore, it means, both angles will add up to give us 90°.

Equation we can generate from this, is as follows:

(10x + 7)° + (9x - 12)° = 90°

Solve for x

10x + 7 + 9x - 12 = 90

Combine like terms

19x - 5 = 90

Add 5 to both sides

19x = 90 + 5 (addition property not equality)

19x = 95

Divide both sides by 19

x = 5

m<1 = (10x +7)°

Replace x with 5

m<1 = 10(5) + 7 = 50 + 7 = 57°

m<2 = (9x - 12)

Replace x with 5

m<2 = 9(5) - 12 = 45 - 12 = 33°

You might be interested in
Need help with math probelm if do 5 stars
slamgirl [31]

Answer:

b) -9.25

Step-by-step explanation:

-1/4 = -0.25

-9 + -0.25 = -9.25

-10, -9.75, -9.5, -9.25, -9, -8.75, -8.5, -8.25, -8, -7.75, -7.5, -7.25, -7

Hope this helps!

4 0
2 years ago
Read 2 more answers
A certain cake recipe calls for 2 7/8 cups of sugar to make one cake, If you want to make four cakes, how many cups of sugar, do
maksim [4K]

You have too divide 2 and 7 and 8 divided by the sum and that’s your answer

8 0
3 years ago
Find derivative problem<br> Find B’(6)
dalvyx [7]

Answer:

B^\prime(6) \approx -28.17

Step-by-step explanation:

We have:

\displaystyle B(t)=24.6\sin(\frac{\pi t}{10})(8-t)

And we want to find B’(6).

So, we will need to find B(t) first. To do so, we will take the derivative of both sides with respect to x. Hence:

\displaystyle B^\prime(t)=\frac{d}{dt}[24.6\sin(\frac{\pi t}{10})(8-t)]

We can move the constant outside:

\displaystyle B^\prime(t)=24.6\frac{d}{dt}[\sin(\frac{\pi t}{10})(8-t)]

Now, we will utilize the product rule. The product rule is:

(uv)^\prime=u^\prime v+u v^\prime

We will let:

\displaystyle u=\sin(\frac{\pi t}{10})\text{ and } \\ \\ v=8-t

Then:

\displaystyle u^\prime=\frac{\pi}{10}\cos(\frac{\pi t}{10})\text{ and } \\ \\ v^\prime= -1

(The derivative of u was determined using the chain rule.)

Then it follows that:

\displaystyle \begin{aligned} B^\prime(t)&=24.6\frac{d}{dt}[\sin(\frac{\pi t}{10})(8-t)] \\ \\ &=24.6[(\frac{\pi}{10}\cos(\frac{\pi t}{10}))(8-t) - \sin(\frac{\pi t}{10})] \end{aligned}

Therefore:

\displaystyle B^\prime(6) =24.6[(\frac{\pi}{10}\cos(\frac{\pi (6)}{10}))(8-(6))- \sin(\frac{\pi (6)}{10})]

By simplification:

\displaystyle B^\prime(6)=24.6 [\frac{\pi}{10}\cos(\frac{3\pi}{5})(2)-\sin(\frac{3\pi}{5})] \approx -28.17

So, the slope of the tangent line to the point (6, B(6)) is -28.17.

5 0
3 years ago
The Great Pyramid has a height (h) of about 480 ft, a slant height (l) of about 560 ft and a square base of 756 ft. What is the
suter [353]

Answer: 91,445,760 ft³

Step-by-step explanation:

You know that the base of this pyramid is a square, then you can use the following formula to calculate its volume:

V=\frac{s^2h}{3}

Where "s" is the lenght of any side of the base of the pyramid and "h" is the height of the pyramid.

You know that:

h=480ft\\s=756ft

Then, you can substitute these values into the formula. So, you get that the volume of The Great Pyramid is:

V=\frac{(756ft)^2(480ft)}{3}=91,445,760ft^3

5 0
3 years ago
This scatterplot shows the mean number of people per square mile in the US during every tenth year since 1900.
Salsk061 [2.6K]

Answer:

C is the closest estimate

6 0
3 years ago
Other questions:
  • Jill wants to paint a cylinder shaped flower pot that has a radius of 8 cm and a height of 9 cm what is the approximate surface
    5·2 answers
  • Complete each ratio table to solve each problem.
    11·1 answer
  • Ricardo has 3 quarters, 1 done, 1 nickel, and 4 pennies. He gave 68 cents to his brother. How much money does Ricardo have left?
    11·1 answer
  • The product of seven, y, and x
    11·1 answer
  • Patrice Matson works for a company that uses a
    9·1 answer
  • Which has the greatest variance?
    5·1 answer
  • A car is traveling along a test track in the desert at a constant rate of 85 feet per second The test track has a length of 10,0
    9·1 answer
  • Local Savings Bank has a $35 overdraft fee. On Friday, Mr. Baratheon
    5·1 answer
  • Find x to the nearest 10th<br> (18x-12)<br> a 2.7<br> b 8.7<br> c 12.7<br> d. 10.7
    8·1 answer
  • 5/100 as a decimal in Dollar form
    14·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!