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zalisa [80]
3 years ago
11

John is constructing a triangle with two sides 5cm and 7 cm and the included angle is 70°. First, John draws a 5cm segment on hi

s paper. He is not sure how to construct the 70° angle. What should he do?
Help me please
Mathematics
1 answer:
Damm [24]3 years ago
3 0

Answer:

  John should use a protractor to measure an angle of 70°.

Step-by-step explanation:

70° is an angle for which there is no construction procedure.

Angles of measures 15°, 18°, 30°, 36°, and 45° can be constructed, along with their supplements, complements, and values multiplied by any positive integer or divided by any power of 2. Of course, the sums and differences of any of these angles can be constructed. (The more steps in the construction, the greater the loss of accuracy.)

Because there is no construction procedure for an angle of 70°, John must create the angle using a measuring tool. A protractor is the tool of choice.

John should use a protractor to measure an angle of 70° relative to one end of his 5 cm baseline.

_____

<em>Comment on John's technique</em>

It is likely John would create a more accurate representation of the desired triangle by drawing the 7 cm segment first. This would give a longer baseline for use with the protractor, and would mean the length through the point marked using the protractor would not have to be extrapolated as far.

You might be interested in
Solve for 2:<br> 7x + 156°<br> 9x + 184°
Natalija [7]

Answer:

x = -14

Step-by-step explanation:

Simplifying

7x + 156 = 9x + 184

Reorder the terms:

156 + 7x = 9x + 184

Reorder the terms:

156 + 7x = 184 + 9x

Solving

156 + 7x = 184 + 9x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-9x' to each side of the equation.

156 + 7x + -9x = 184 + 9x + -9x

Combine like terms: 7x + -9x = -2x

156 + -2x = 184 + 9x + -9x

Combine like terms: 9x + -9x = 0

156 + -2x = 184 + 0

156 + -2x = 184

Add '-156' to each side of the equation.

156 + -156 + -2x = 184 + -156

Combine like terms: 156 + -156 = 0

0 + -2x = 184 + -156

-2x = 184 + -156

Combine like terms: 184 + -156 = 28

-2x = 28

Divide each side by '-2'.

x = -14

Simplifying

x = -14

3 0
3 years ago
Sam wants to leave an 18% tip for his dinner. The bill is for $23.50. Which equation could be used to find the total amount that
lora16 [44]

Answer:

(0.18 x 23.50) + 23.50

Step-by-step explanation:

First, find the percentage of 23.50 (equation in the parenthesis). 18% is equivalent to 0.18. Then, you add that to 23.50. That's the total amount Sam should pay. I hope this makes sense.

3 0
2 years ago
The data list shows the scores of ten students in Mr. Smith's math class. 61, 67, 81, 83, 87, 88, 89, 90, 98, 100 What is the st
anzhelika [568]

Sample standard deviation

Mean of data = 84.4

Calculate deviations from the mean = 23.4, 17.8, 3.4, 1.4, -2.6, -3.6, -4.6, -5.6, -13.6 and -15.6

Squaring these deviations; we get 547.56, 316.84, 11.56, 1.96, 6.76, 12.96, 21.15, 31.36, 184.96, 243.36

Adding these we get 1378.47

As its a sample Std Dev we divide by 10 - 1 = 9. For the popklation Std Dev we divide by the number of scores (10).

Std Deviation for sample = sqrt ( 1378.47 / 9) = 12.4 to nearest tenth (answer)

Population Std Dev = sqrt (1378.47 / 10) = 11.7 answer

Theres a lot of arithmetic there so hope i haven't slipped up anywhere!

6 0
3 years ago
A box of apples weights 1,058 pounds. If one apples weights 46 pounds, how many apples are there in the box?
Arte-miy333 [17]
There will be23 apples in the bow
5 0
3 years ago
Homework time don’t under stand this •_•||
VARVARA [1.3K]

Answer: so you need to subtract your fractions

Step-by-step explanation: 7/8-5/6=1/24 or 0.042 as a decimal

how to do this is just simplify your answer. I suggest using mathhelper its an amazing app and can show you how to work out problems. I hope i have helped!

5 0
3 years ago
Read 2 more answers
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