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NARA [144]
3 years ago
11

In Δ ABC, the sum of the measures of ∠A and ∠B is 47°. what is the measure of ∠C?

Mathematics
1 answer:
Tanya [424]3 years ago
8 0
To determine the measure of angle C. You would solve the equation for X. X+47=180. X= 180-47. X= 133. The measure of angle C is 133 degrees.
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Write three equations whose solution is x=3.5
My name is Ann [436]

Answer:

  • 1. 2x + 23 = 30
  • 2. 3x + 19.5 = 30
  • 3. (10x - 20)/ 5 = 3

Explanation:

Work backward:

1. 2x + 23 = 30

Start:

  • x = 3.5

Multiply the equation by 2:

  • 2x = 2 (3.5)
  • 2x = 7

Subtract 30 from both sides

  • 2x - 30 = 7 - 30
  • 2x - 30 = -23

Add 23 and 30 to both sides:

  • 2x + 23 = 30

2. 3x + 19.5 = 30

Start:

  • x = 3.5

Add 6.5 to both sides:

  • x + 6.5 = 10

Multiply by 3:

  • 3(x + 6.5) = 30

Distributive property:

  • 3x + 19.5 = 30

3. (10x - 20)/ 5 = 3

Start:

  • x=3.5

Multiply by 10:

  • 10x = 35

Subtract 20:

  • 10x - 20 = 15

Divide by 5:

  • (10x - 20)/ 5 = 15/5

  • (10x - 20) / 5 = 3
3 0
3 years ago
Simplify the expression by using a double-angle formula or a half-angle formula. (a) 2 tan(5°) 1 − tan2(5°)
antoniya [11.8K]

The question is related to trigonometry and we have to use the formula of double angle .

Here we use double angle formula of tangent function which is

tan(2x) = \frac{2tan(x)}{1-tan^2(x)}

Given expression is

\frac{2tan (5 \degree)}{1-tan^2(5 \degree)}

Comparing it with double angle formula, we will get x = 5

SO the required expression is equal to

\frac{2tan (5 \degree)}{1-tan^2(5 \degree)}  =tan(2*5 )

\frac{2tan (5 \degree)}{1-tan^2(5 \degree)}  =tan(10 )

So the answer is tan(10) .

6 0
3 years ago
Write an expression for the calculation the difference of the products of 5 and 2 and 5 and 1
oee [108]
Let's review the terminology.  A product is what you get when you multiply two numbers.  So, the product of 5 and 2 is basically "5*2," and the product of 5 and 1 is "5*1."

The difference means when you subtract one from the other.  So, the difference of 5*2 and 5*1 means "(5*2)-(5*1)".  (Note: I put in parentheses to make sure the reader understands that 5*2 is separate from 5*1.  5*2-5*1 is confusing: you might not know what to do first!)

So, "(5*2)-(5*1)" can be your answer, OR you can simplify it further by actually doing the multiplication: "10-5".  If you want the answer, just subtract--the expression is equal to 5.

Answer: "<span>(5*2)-(5*1)" OR "10-5" OR "5"</span>
3 0
3 years ago
Help mathematics need answer asap
Elina [12.6K]
Idk but it can't be 10 or 9.7 bc a triangle's hypotenuse is always longer than its legs
5 0
3 years ago
Please answer i'm not sure
tino4ka555 [31]
It's low ! Hope this helps:3
7 0
3 years ago
Read 2 more answers
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