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Ilya [14]
3 years ago
10

A triangular sandbox has angles whose measures are in the ratio 3:7:2. What is the measure of the smallest angle? a. 10° b. 30°

c. 70° d. 20°
Mathematics
1 answer:
IRISSAK [1]3 years ago
4 0
Sum of ratios:     3 + 7 + 2 = 12

Measure of smallest;  sum of angles in triangle = 180

Smallest:    (2/12)* 180 = 30

30°
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Which of the following equations has a solution x = 4? Select all that apply.
natka813 [3]

Answer:

-2(3x - 4) = -16 and 20- 15x = 6 - 2(4x + 7)

<em></em>

Step-by-step explanation:

Given

-2(3x - 4) = -16

\frac{1}{2}(10x + 2) = 6

20- 15x = 6 - 2(4x + 7)

\frac{1}{3}(9x - 12) + 6=-10

Required

Equations with x = 4 as a solution

-2(3x - 4) = -16

Divide both sides by -2

3x - 4 = 8

Add 4 to both sides

3x - 4 +4= 8+4

3x =12

Divide both sides by 3

x = 4

\frac{1}{2}(10x + 2) = 6

Multiply both sides by 2

10x + 2 = 12

Subtract 2 from both sides

10x + 2 -2= 12-2

10x = 10

Divide both sides by 1

x = 1

20- 15x = 6 - 2(4x + 7)

Open bracket

20  - 15x = 6 - 8x - 14

Collect like terms

8x - 15x = 6 - 14 - 20

-7x = -28

Divide both sides by -7

x = 4

\frac{1}{3}(9x - 12) + 6=-10

Subtract 6 from both sides

\frac{1}{3}(9x - 12) + 6-6=-10-6

\frac{1}{3}(9x - 12) =-16

Multiply both sides by 3

9x - 12 = -48

Add 12 to both sides

9x - 12 +12= -48+12

9x = -36

Divide both sides by 4

x =-4

<em></em>-2(3x - 4) = -16<em> and </em>20- 15x = 6 - 2(4x + 7)<em> have </em>x = 4<em> has a solution</em>

6 0
3 years ago
Read 2 more answers
As an estimate we are told that 5 miles is 8km convert 76 in miles
jeka57 [31]

Answer:

76 kilometres = 47.224211 miles

5 0
3 years ago
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1) A librarian noticed that 60% of seventh graders checked out fantasy books. About how many of 240 seventh graders would checko
katovenus [111]

We have been given that a librarian noticed that 60% of seventh graders checked out fantasy books. We are asked to find the number of seventh graders from 240 seventh graders, who would checkout fantasy books.

To solve our given problem, we need to find 60% of 240.

\text{Seventh graders, who would checkout fantasy books}=240\times \frac{60}{100}

\text{Seventh graders, who would checkout fantasy books}=240\times 0.60

\text{Seventh graders, who would checkout fantasy books}=144

Therefore, 144 seventh graders would checkout fantasy books.

3 0
3 years ago
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A tortoise traveled 1/6 kilometer in 7/8 hour. What was its average speed in kilometers per hour?
xxTIMURxx [149]

Answer:

4/21 kilometers per hour

Step-by-step explanation:

Since the tortoise traveled 1/6 kilometers in 7/8 hour we can divide 1/6 by 7 because 7/8 divided by 7 is 1/8 and get 1/42.Once we've done this we can then multiply 1/6 by 8 since 1/8 x 8= 8/8 or 1 hour and get 8/48 which simplifies to 4/21.

5 0
3 years ago
I don’t understand 12 and 14
Lena [83]
#12:
p= 2.8y+2.2y+2x+5x+4x
p= 5y+11x

#14:
p= 2h+2h+4j+4j+4j+4j
p= 4h+16j
3 0
3 years ago
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