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spin [16.1K]
3 years ago
8

Hey everyone i was trying to setup this problem but I’m stuck can someone tell me setup for number 15 and 16 explain if you can

:)

Mathematics
1 answer:
STatiana [176]3 years ago
5 0

Answer:

15. x = 10 3/11

16. ∠Q = 75°

Step-by-step explanation:

<h3>15.</h3>

The two base angles of the isosceles triangle are congruent, so both are 180°-8x. The sum of those, together with the apex angle, will be 180°.

... 2(180 -8x) + (5x -67) = 180

... 360 -16x +5x -67 = 180 . . . . . eliminate parentheses

... -11x = -113 . . . . . subtract 293

... x = 113/11 = 10 3/11

_____

<em>Note on the solution</em>

This value of x makes the interior base angles of the triangle be 97 9/11°. The apex angle is then -15 7/11°. The solution is correct—all the angles add up properly—but the geometry cannot exist.

_____ _____

<h3>16.</h3>

The approach is the same. The sum of the two congruent base angles and the apex angle is 180°.

... 2(2x+15) + x = 180

... 5x + 30 = 180

... x = (180 -30)/5 = 30

... (2x +15)° = (2·30 +15)° = 75° = angle Q

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X-2(x+10)=12 , -15=5(3q-10)-5q <br><br> Please Help
Rashid [163]

Answer:

-4,3.5

Step-by-step explanation:

1st one

x-2x-20 = 12

-x = 32

x=-4

2nd one

-15=15q-50 - 5q

35= 10q

q = 3.5

3 0
2 years ago
A car travels at an average speed of 52 miles per hour. How long does it take to travel 234 miles
mars1129 [50]
Speed = distance/time

so to work out time you do distance/ speed

234/52= 4.5hours
7 0
2 years ago
How many hours will a car traveling at 65 miles per hour take to catch up to a car traveling at 55 miles per hour if the slower
son4ous [18]

It will take the first car 5.5 hours to catch up to the second car.

Step-by-step explanation:

Speed of second car = 55 miles per hour

As the car has started one hour before; it has already traveled

Distance = Speed * Time

Distance = 55*1 = 55 miles

Let,

x be the number of hours.

Distance covered in x hours = 55x

S(x) = 55x+55

Speed of first car = 65 miles per hour

Distance covered in x hours = 65x

F(x) = 65x

For catching up;

F(x) = S(x)

65x=55x+55\\65x-55x=55\\10x=55

Dividing both sides by 10

\frac{10x}{10}=\frac{55}{10}\\x=5.5

It will take the first car 5.5 hours to catch up to the second car.

Keywords: speed, distance

Learn more about speed at:

  • brainly.com/question/10940255
  • brainly.com/question/10941043

#LearnwithBrainly

8 0
3 years ago
1. Identify the most reasonable unit to measure the volume of a tumbler.
NARA [144]

Answer:

1. Gram

2. Kilogram

3. Millilitre

4. Hour

5. Minute

6. Feet

7. Radian

Explanation :

1.Gram

Because - For small quantity, the most reasonable unit is gram.

2.Kilogram  

Because - For large quantity , the most appropriate unit is kilogram.

3. Millilitre  

Because - For small volume , the most appropriate unit is millilitre.

4.Hour

Because - For large amount of time , the most appropriate unit is hour.

5.Minute

Because - For small amount of time , the most appropriate unit is minute.

6.Feet  

Because - For large height , the most appropriate unit is feet.

7.Radian

Because - For angle , the most appropriate unit is degree or Radian

4 0
3 years ago
Read 2 more answers
Can someone pls help me
densk [106]

Answer:

x = 15.42

Step-by-step explanation:

cos 63° = 7/x

0.4540 x = 7

x = 15.42

5 0
2 years ago
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