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Citrus2011 [14]
3 years ago
13

Pls pls help me with this

Mathematics
1 answer:
rosijanka [135]3 years ago
6 0

Answer:

Please check the explanation.

Step-by-step explanation:

                                                        6)

Given ΔMNO ≅ ΔPQR

As congruent parts of congruent triangle are congruent.

and also given

  • m∠N = 2x+6
  • m∠Q = 4x+12

so

m∠N = m∠Q

2x+6 = 4x+12

4x-2x = 6-12

2x  = -12

Divide both sides by 2

x = -6

Thus, the value of x = -6

Therefore, option 'A' is true.

                                                     7)

Given ΔABC ≅ ΔDEF

As congruent parts of congruent triangle are congruent.

and also given

  • AB = 4v+2
  • DE = 6v-4

so

AB = DE

4v+2 = 6v-4

6v-4v = 2+4

2v=6

Divide both sides by 2

v = 3

Thus, the value of v = 3

Therefore, option 'A' is true.

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Write the equation in slope-intercept form: answers y=1/2x, y=3x+1/2, y=1/2x+3, y=2x+3
AleksandrR [38]

The equation in the slope-intercept form is:

y = (1/2)*x + 3

<h3>How to write the equation?</h3>

A general linear equation is:

y = a*x + b

Where a is the slope and b is the y-intercept.

To get the slope, we need two points on the line, by using the graph we can identify the points: (0, 3) and (2,4)

Then the slope is:

a = \frac{4 - 3}{2 - 0} = 1/2

And we also can see that the y-intercept is y = 3, because of the point (0,3)

Then the line is:

y = (1/2)*x + 3

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6 0
2 years ago
Does the point (10, 13) satisfy the equation y = x?
Trava [24]
Equation: y = x

When x = 10, y = 10

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Answer: No, (10, 13) does not satisfy the equation y = x.
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7 0
4 years ago
Read 2 more answers
Write a simplified polynomial expression in standard form to represent the area of the rectangle below.
Marianna [84]
Area = Length * Width
A = (2x - 4) * (x + 5)
A = 2x² +10x-4x - 20
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In short, Your Answer would be Option C

Hope this helps!
4 0
3 years ago
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A 30-year, $1,000 strip bond was traded for $167, four years after it was issued. What was the semi-annually compounded nominal
Anna007 [38]

Answer:

The semi-annually compounded nominal rate at that time is 7%

Step-by-step explanation:

In order to calculate the semi-annually compounded nominal rate at that time we would have use the following formula:

PV= FV/(1+r)^n

According to the given data we have the following:

PV=$167

FV=$1,000

n=30-year, and strip bond was traded four years after it was issued, hence, n=(30-4)*2 =52

Therefore, 167= $1,000/( 1+r)^52

167/$1,000 =1/(1+r)^52

0.167 =1/(1+r)^52

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Therefore, The semi-annually compounded nominal rate at that time=3.50%*2

The semi-annually compounded nominal rate at that time=7%

The semi-annually compounded nominal rate at that time is 7%

4 0
4 years ago
Which best explains the formula? the central angle measure of the sector divided by the total angle measure of a circle multipli
DIA [1.3K]

The sector divided by the total angle measure of a circle multiplied by the area of the circle will yield the area of the sector.

<h3>Area of a sector</h3>

The coloured portion of the circle is known as a sector. The formula for calculating the area of a sector is given as:

Area of a sector = θ/360 * πr²

where

θ is the central angle

πr² represents the area of a circle.

Therefore the best statement that explains the formula is expressed as the central angle measure of the sector divided by the total angle measure of a circle multiplied by the area of the circle will yield the area of the sector.

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6 0
2 years ago
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