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gregori [183]
3 years ago
9

The angles of a triangle are 80°, 2x + 2°, and 5x°.

Mathematics
2 answers:
Amiraneli [1.4K]3 years ago
6 0
80 + 2x+2 +5x = 180
7x = 180 - 80 - 2
7x = 198
x = 14
Bezzdna [24]3 years ago
5 0
The sum of interior of all angles in a triangle = 180
Given 3 angles = <span>80°, 2x + 2°, and 5x°
To find x:

</span><span>80°+  2x + 2 +  5x = 180
7x + 82 = 180
        7x = 98
          x = 14

answer
x = 14 </span>
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The are of the shape is __ square centimeter
tensa zangetsu [6.8K]

Answer:

35 cm

Step-by-step explanation:

To find the area of the bottom portion, you would use the formula for finding out a triangle (B*H*1/2) which is:

(4+4)*5.75*1/2=<u>23</u>

Then, for the top portion, one would find the area of the triangles on the sides (with two marks going through). Since along the middle is 8cm, and along the top is 4, we can see that there is 2cm on either side, so that is the length of the base of the triangle. To solve for the top triangles, you would do almost the same thing as the last one:

2*2*1/2=2

But since there's two identical triangles on either side, we can multiply that by two, which would bring it to <u>4.</u>

That just leaves the rectangle that is left between the two triangles. To solve this, it's just B*H and luckily both of those are labeled for you already:

4*2=<u>8</u>  

Now, to find the total area, all you have to do is add up the areas of the different sections:

23+4+8=35 cm

Hope this helps!

4 0
3 years ago
Jim wanted to find out what the audience thought about the debate. After the event, Jim stood at the exit to survey every fifth
balu736 [363]

Answer: D. This was a random sample. It may have included anyone in attendance.

Step-by-step explanation:

The options are:

A. This was a biased sample. Jim should interview all in attendance.

B. This was a census. Any guest may have participated.

C. This was a random sample. It may not have included anyone in attendance.

D. This was a random sample. It may have included anyone in attendance.

A random sampling is simply referred to as a subset of individuals that are picked from a larger set of individuals.

With regards to the question, Jim wanted to find out what the audience thought about the debate and after the event, he stood at the exit to survey every fifth guest.

This means that it was a random sampling and anyone could have been picked, the sampling wasn't bias.

7 0
3 years ago
When 8 is subtracted from Ollie’s age, the result is the same as subtracting 16 from 3 times his age.
Scilla [17]
X - Ollie's age

8 is subtracted from Ollie's age = x-8
the result is the same as
subtracting 16 from 3 times his age = 3x-16

x-8=3x-16 \\&#10;x-3x=-16+8 \\&#10;-2x=-8 \\&#10;x=4

Ollie is 4 years old.
5 0
3 years ago
Read 2 more answers
Need help ASAP please
OlgaM077 [116]

Step-by-step explanation:

sue = 18 sweets

tony= 18 sweets

(sue)      S= (18 - x)-5

(tony)     T=(18 + x) ÷ 2

hope this helps :)

6 0
3 years ago
Find the interval(s) of upward concavity on this accumulation function.
maxonik [38]

\displaystylef(x)=\int_{0}^{x^2}\sec^2(\sqrt{x})dx \\=\int_{0}^{\sqrt{x^2}}\sec^2(u)\cdot2udu \\=2\int_{0}^{\sqrt{x^2}}\sec^2(u)du \\=2\Big[u\tan(u)-\int\tan(u)du\Big]_{0}^{\sqrt{x^2}} \\=2\Big[u\tan(u)+\ln\Big(\mathrm{abs}(\cos(u))\Big)\Big]_0^x \\=2\Big(x\tan(x)+\dfrac{1}{2}\ln\Big(\cos^2(x)\Big)\Big) \\=2x\tan(x)+\ln(\cos^2(x))

Hope this helps.

6 0
3 years ago
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