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kolbaska11 [484]
2 years ago
15

What is the measure of the third angle of this triangle?

Mathematics
1 answer:
Illusion [34]2 years ago
3 0

Answer:

20 degrees

Step-by-step explanation:

every triangle had 3 angles that all add up to 180

the problem gives you two angles which are 120+40 which is 160

180-160 is 20 degrees which is whi it is the answer

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Amanda uses a rectangular canvas for a panting. The length is 6x-3 centimeters The width is 2x+6 centimeters,and is 4/5of the le
julia-pushkina [17]

Answer:

15 cm by 12 cm.

Step-by-step explanation:

Given:

Amanda uses a rectangular canvas for a panting.

The length is 6x-3 centimeters.

The width is  2x+6 centimeters, and is 4/5 of the length .

Question asked:

.What are the dimensions of the canvas ?

Solution:

<u>As given that the width is </u>\frac{4}{5} of the length.

2x+6=\frac{4}{5} (6x-3)\\ \\ 2x+6=\frac{4}{5}\times6x-\frac{4}{5}\times3\\ \\ 2x+6=\frac{24x}{5} -\frac{12}{5} \\ \\

Adding both sides by \frac{12}{5}

2x+6+\frac{12}{5} =\frac{24x}{5} -\frac{12}{5}+\frac{12}{5}\\ \\ 2x+\frac{42}{5} =\frac{24x}{5}

Subtracting both sides by 2x

2x-2x+\frac{42}{5} =\frac{24x}{5} -2x\\ \\ \frac{42}{5} =\frac{24x-10x}{5} \\ \\ \frac{42}{5} =\frac{14x}{5} \\ \\

By cross multiplication:-

5\times14x=5\times42\\ \\ 70x=210\\ \\

By diving both sides by 70

x=3

<u>Now, substituting the value:-</u>

The length = 6x-3 cm

                  = 6\times3-3=18-3=15\ cm

The width = 2x+6 cm

                 = 2\times3+6=6+6=12\ cm

Thus, length and width of canvas are 15 cm and 12 cm.

7 0
3 years ago
Find the third term of (x^2 + 2)^4.
attashe74 [19]

Answer:

Step-by-step explanation:

in~the~expansion~of~(x+a)^n\\T_{r+1}=ncr x^{n-r}a^r\\r+1=3\\r=3-1=2\\n=4\\4c2=\frac{4 \times 3}{2 \times 1} =6\\T_{2}=4(x^2)^{4-2}(2)^2\\=16(x^2)^2\\=16x^4

7 0
3 years ago
Read 2 more answers
in 15 seconds, connor counts 7 vehicles passing by his house. At this rate how many vehicles would pass by in 5 hours
lesya [120]
Multiply by 4 to get to one minute —>28.
Multiply by 60 to get to one hour—> 1,680
Multiply by 5 to get to 5 hours—> 8,400
8 0
3 years ago
(6(1) = -5<br> 1) Find (4) in the sequence given by<br> (6(n) = b(n − 1) +9
Sloan [31]

Answer:

f(4) = 22

Step-by-step explanation:

I think that you type wrongly.

we have f(1) = -5

and f(n) = f(n-1) + 9

Find f(4)

Then

with n= 2 we have f(2) = f(1) + 9 = - 5+ 9= 4

with n= 3 we have f(3) = f(2) + 9 = 4 + 9= 13

and finally with n= 4 we find f(4) = f(3) + 9 = 13+ 9= 22

So f(4) = 22

Hope you understand.

8 0
3 years ago
Read 2 more answers
5. A history lecture hall class has 15 students. There is a 15% absentee rate per class meeting.
Tasya [4]

Answer:

I think the answer is A

Sorry if i am wrong

Step-by-step explanation:

5 0
3 years ago
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