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3 years ago

What is the measure of each angle?

Mathematics

1 answer:

Elza [17]3 years ago

3 0

Answer:

The measure of the angles are 46, 89, and 41 degrees.

Step-by-step explanation:

In order to find this, we need to add all 3 angles together and set equal to 180. Then we can find x.

x + 2x - 3 + x - 5 = 180

4x - 8 = 180

4x = 188

x = 46

Now we can find the value of each angle using the value of x.

Angle 1:

x = 46

Angle 2:

2x - 3

2(46) - 3

92 - 3

Angle 3:

x - 5

46 - 5

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Given a+b=7 and a–b=3, find:<br> 3^a÷3^b<br>

Mama L [17]

Answer:

a= -2 and b=3

Step-by-step explanation:

Step 1) Solve the first equation for a:

a + 3b = 7

a + 3b - 3b = 7 - 3b

a + 0 = 7 - 3b

a = 7 - 3b

Step 2) Substitute(7 - 3b) for a in a second equation and solve for b:

2a = b - 7 becomes:

2(7 - 3b) = b-7

(2 multi.7) - (2 multi.3b)= b-7

14 - 6b = b - 7

14 + 7 - 6b + 6b = b + 6b = b + 6b - 7 +7

21 - 0 = 1b + 6b - 0

21=(1 + 6)b

21 = 7b

21 /7 = 7b/7

3 = 7b/7

3 = b

b = 3

Step 3) Substitute 3 for b in the solution to the first equation at the end of Step 1 and calculate a :

a = 7 - 3b becomes:

a = 7 − ( 3 ⋅ 3)

a = 7 − 9

a = − 2

6 0

3 years ago

Read 2 more answers

SOLVE PLEASE if the radius of a cylinder is 2/3 the height and the height is 6, what is the area of the cylinder

Charra [1.4K]

Answer:

96π

Step-by-step explanation:

4 0

4 years ago

The horizontal value at which the highest point of a variable's normal curve occurs is also the ____ of the variable.

Tresset [83]

D ope this helped please leave a thank you

5 0

3 years ago

1.06 x 10^7 and 2.65 x 10^4

lora16 [44]

Answer:

4.0 x 10^2

Step-by-step explanation:

We are finding the quotient of the numbers in scientific notation. At first, we can write the quotient as

$\frac{1.06~x~10^{7} }{2.06 ~x 10^{4} }$

Let's try to rewrite the numbers in scientific notation. We can rewrite 1.06 x 10^7 into

$1.06 ~x~10^{7}~ = 1060 ~x~10^{4}$

which are the same. We can also rewrite 2.65 x 10^4 into

$2.65~x ~10^{4} ~= 2.65~x~10^{2}$

Now we have

$\frac{1060~x10^{4} }{265~x~10^{2} }$

1060 divided by 265 results to 4. And if we divide scientific notation, we just subtract the exponents on 10s. In this case, we have 4 and 2. 4-2 yields 2.

Hence, the final answer to this problem is

$4.0~x~10^{2}$

6 0

3 years ago

A blueprint for a house shows the height of the house to be inches. The actual house is feet tall. What is the unit rate in feet

Dennis_Churaev [7]

The ratio for feet to inches is 1:12

5 0

3 years ago