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const2013 [10]
3 years ago
9

The m∠B is two more than three times the measure of ∠C. If ∠B and ∠C are complementary angles, find the measures of both angles.

Mathematics
1 answer:
allsm [11]3 years ago
7 0

Answer:

B = 68°  and  C = 22°

Step-by-step explanation:

Let angle B's measure be B and angle C's measure be C.

Also note that complementary means that they sum to 90.

Now:

<u>The m∠B is two more than three times the measure of ∠C:</u>

we can write:

B = 3C + 2

<u>If ∠B and ∠C are complementary angles:</u>

B + C = 90

Putting 1st equation in 2nd, we get:

B + C = 90

3C + 2 + C = 90

4C = 90 - 2

4C = 88

C = 88/4 = 22

Now B = 3C + 2, so

B = 3(22) + 2 = 68

Hence, B = 68 degrees and C = 22 degrees

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A is 2 times older than B. Identify the appropriate expression.
-Dominant- [34]

Answer:

C. 2x

Step-by-step explanation:

Let

B's age = x years

A's age = 2 times older than B

= 2 * x

= 2x years

A's age = 2x years

For instance, if B's age is 17 years

Then,

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6 0
2 years ago
-1/3x-4/3y=-2 1/3x-2/3y=4 using elimination
Minchanka [31]

-1/3x-4/3y=2

1/3x-2/3y=4

First realize that the coefficient of x is -1/3 and 1/3 which can be eliminated with addition

Adding the two equations together gets

-6/3y=6

Simplify

-2y=6

y=-3

Substitute back into original equation

1/3x-2/3(-3)=4

1/3x+2=4

1/3x=2

x=6

Answer

x=6, y=-3

Check answer

-1/3(6)-4/3(-3) =?= 2

                -2+4=2

                     2=2

Done!

5 0
2 years ago
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Bezzdna [24]
Aaron is 11 and Laura is 12.
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3 years ago
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The temperature at noon was -5 C. Then, it decreased by 4.3 'C. What is the temperature<br> now?
devlian [24]

Answer:

-9.3 degrees

Step-by-step explanation:

-5 minus 4.3 is -9.3

8 0
3 years ago
HELP I NEED HELP ASAP ONEIS BRAINLY
Luba_88 [7]
Q: can you find the volume of the tank based on the opposite sides as the bases. 


This one was a tricky one lol. 

To find volume you need a formula: 

Formula for volume varies on the shape of the object.

<span><span>Cube = a 3<span>a is the side length

</span></span><span>Rectangular prism = a * b * c<span>a, b, c are the length, width, and height

</span></span><span>Cylinder = π * r 2 * h<span><span>r is the radius of the circular base</span><span>h is the height

for this one you would need the Rectangular prism formula. 

A: No you cannot find the volume because you need length, width, and height to figure out the volume of the rectangular prism. 

Hope this helped! :)

</span></span></span></span>
4 0
2 years ago
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