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Troyanec [42]
3 years ago
11

Which of the following represent the distance formula? Select all that apply.

Mathematics
1 answer:
Alinara [238K]3 years ago
6 0

Answer:

B

Step-by-step explanation:

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If ∠C and ∠D are vertical angles and m ∠ C = x + 5 and m ∠ D = –2x + 80, what is m ∠ C?
amm1812

Answer:

m∠C=30°

Step-by-step explanation:

we know that

<u>Vertical Angles</u> are the angles opposite each other when two lines cross. They are always equal

so

m∠C=m∠D

substitute the given values

(x+5)\°=(-2x+80)\°

Solve for x

x+2x=80-5\\3x=75\\x=25

<em>Find the measure of angle C</em>

m∠C=(x+5)°

substitute the value of x

m∠C=(25+5)=30°

3 0
3 years ago
What do rectangles and parallelograms have in common?
Aleks [24]

Answer:

They are quadrilaterals that have opposite sides equal in length.

3 0
3 years ago
Read 2 more answers
A diagonal brace is to be placed in the wall of a room. the height of the wall is 6 ft, and the wall is 12 ft long. what is the
Varvara68 [4.7K]
We know that
Applying the Pythagoras Theorem
c=²=a²+b²
where c is the diagonal of the wall
a=12 ft
b=6 ft
c²=12²+6²-----> c²=144+36-----< c²=180-----> c=√180------> c=6√5 ft

the answer is
<span>the exact length of the brace is 6</span>√5 ft
8 0
3 years ago
In 195019501950, the per capita gross domestic product (GDP) of Australia was approximately \$1800$1800dollar sign, 1800. Each y
mezya [45]

Answer:

The function of capita GDP is given by

G(t)= 1800(1+0.067)^t

where G(t) is in dollar and t is years after 1950.

Step-by-step explanation:

Given that,

in 1950, the per capita GDP of Australia was $1800.

The capita GDP is increased by 6.7 % per year.

In 1951, the capita GDP was increased =6.7% of $1800

The capita GDP was= $1800+ 6.7% of $1800

                                 =$1800(1+6.7%)

In 1952, the capita GDP was increased =$1800(1+6.7%)

The capita GDP was=$1800(1+6.7%)+ 6.7% of$1800(1+6.7%)

                                 =$1800(1+6.7%)(1+6.7)

                                 = $1800(1+6.7%)²

                                 =$1800(1+0.067)²

In 1952, the capita GDP was increased =$1800(1+6.7%)²

The capita GDP was=$1800(1+6.7%)²+ 6.7% of$1800(1+6.7%)²

                                 =$1800(1+6.7%)²(1+6.7)

                                 = $1800(1+6.7%)³

                                  =$1800(1+0.067)³

and so on.

The function of capita GDP is given by

G(t)= 1800(1+0.067)^t

where G(t) is in dollar and t is years after 1950.

6 0
3 years ago
What is the y-value of the vertex of the function f(x)=−(x+8)(x−14)? 3 6 112 121
Viktor [21]

Answer:

121

Step-by-step explanation:121 ! just got it right.

8 0
3 years ago
Read 2 more answers
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