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Elden [556K]
3 years ago
13

What is the answer to the questions​

Mathematics
1 answer:
loris [4]3 years ago
7 0
<h3>Answer:  x = 40</h3>

===================================================

Work Shown:

A+B+C = 180 ..... three angles of any triangle add to 180

(2x+10)+(x)+(2x-30) = 180

5x-20 = 180

5x = 180+20 .... adding 20 to both sides

5x = 200

x = 200/5 ... dividing both sides by 5

x = 40

This is the measure of angle B

We can stop here.

If you need to know the values of the other angles, then,

  • angle A = 2x+10 = 2*40+10 = 90
  • angle C = 2x-30 = 2*40-30 = 50

Then note how A+B+C = 90+40+50 = 90+90 = 180 which helps confirm our answer.

You might be interested in
A regular polygon has a exterior of 18 degrees. How many sides does it have?
blondinia [14]
The formula of the measurement of an exterior angle of a regular polygon is
β = 360°/n
where β = exterior angle and n = number of sides

Therefore,
n = 360°/β = 360°/18° = 20 sides
4 0
3 years ago
Read 2 more answers
20) In a recent poll of 1200 randomly selected adult office workers, 32% said they had worn a Halloween costume to the office at
Allisa [31]

Answer: Option 'c' is correct.

Step-by-step explanation:

Since we have given that

n = 1200

x = 32% of 1200

So, \hat{p}=32\5=0.32

We need to find 95% confidence interval.

so, z = 1.96

So, margin of error would be

z\times \sqrt{\dfrac{p(1-p)}{n}}\\\\=1.96\times \sqrt{\dfrac{0.32\times 0.68}{1200}}\\\\=1.96\times 0.0135=

So, Interval would be

\hat{p}\pm \text{margin of error}}\\\\=0.32\pm 0.0263\\\\=(0.32-0.0263,0.32+0.0263)\\\\=(0.2937,0.3463)\\\\=(0.294,0.346)\\\\=(29.4\%,34.6\%)

Hence, Option 'c' is correct.

6 0
3 years ago
John has a rectangular-shaped field whose length is 62.5 yards and width is 45.3 yards. The area of the field is ________ square
oee [108]
Area = 2831.25 square yards

Perimeter =215.6 yards

EXPLANATION

The area and perimeter of a rectangular field are found using the formula for finding the area and perimeter of a rectangle respectively.

That means, area of the rectangular field is given by the formula,

A= l\times w

We just have to substitute
l=62.5 and w= 45.3 into the given formula and evaluate.

This implies that;

A= 62.5\times 45.3

This gives the area of the rectangular-shaped field to be;

A= 2831.25 square yards.

Now for the perimeter, we use the formula

P=2w +2l

Or

P=2(w +l)

Substituting the values for the length and width gives,

P=2(62.5+45.3)

\Rightarrow P=2(107.8)

\Rightarrow P=215.6

Hence the perimeter of the rectangular shaped field is 215.6 yards.
8 0
3 years ago
. What is the order of the coordinates in an ordered pair (4, 6)
Harlamova29_29 [7]

Answer:

i lost lots of pts so i had to do it bro

Step-by-step explanation:

im really sorry bb

5 0
3 years ago
#54 Simplify and write the answers using positive exponents only.
kramer
Gg easy

remember
(x^m)/(x^n)=x^(m-n)
and
(x^m)^n=x^(mn)
and
(xyz)^m=(x^m)(y^m)(z^m)
and
(m/n)^a=(m^a)/(n^a)
and
x^-n=1/(x^n)

so
( \frac{6mn^{-2}}{3m^{-1}n^2} )^{-3}=
( \frac{6}{3} )^{-3}( \frac{m}{m^{-1}} )^{-3}( \frac{n^{-2}}{n^2} )^{-3}=
(2^{-3})((m^2)^{-3})((n^{-4})^{-3})=
( \frac{1}{2^3})(m^{-6})(n^{12})=
( \frac{1}{8} )( \frac{1}{m^6})(n^{12})=
\frac{n^{12}}{8m^6}

8 0
3 years ago
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