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Slav-nsk [51]
4 years ago
6

Select the correct answer.

Mathematics
2 answers:
svet-max [94.6K]4 years ago
7 0

Answer:

Step-by-step explanation:

A parallelogram is a 4-sided polygon whose opposite sides are equal. By definition, opposite angles are also equal. A square, rectangle, or rhombus are considered as a parallelogram. Among the choices, the correct answer is D. "Opposite angles are congruent"

GrogVix [38]4 years ago
3 0

Answer:

D

Step-by-step explanation

opposites have the same angles which would make the congruent so it is option D

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Sixty five percent of 8th grade class is selling magazines for the class fundraiser. If 112 students are selling magazines how m
Alja [10]
Answer:seven hundred thirty two
7 0
3 years ago
Based on the tax brackets, what’s the estimated total tax due for a single taxpayer with a taxable income of $43,500?
inysia [295]

Answer:

C. $5,509.50

Step-by-step explanation:

The computation of the estimated total tax due in case of taxable income for $43,500 is shown below:

Since in the question the income brackets and based on the income the different tax is to be charged

For $9,525, the 10% tax is charged i.e

= \$9,525 \times 10\%

= $952.50

Upto $38,700, the 12% tax is charged i.e

= (\$38,700 - \$9,526) \times 12\%

= $3,500.88

The remaining amount left is

= (\$43,500 - \$38,701) \times 22\%

= $1,055.78

Now the total tax due is

= $952.50 + $3,500.88 + $1,055.78

= $5,509.16 approx i.e $5,509.50

6 0
4 years ago
Are the segments through the origin and the points listed perpendicular? Explain.
Zinaida [17]

Answer:

a. Not perpendicular.

b. Perpendicular.

Step-by-step explanation:

We need to check whether the segments through the origin and the points listed perpendicular.

Product of slopes of two perpendicular lines is -1.

Slope=\dfrac{y_2-y_1}{x_2-x_1}

(a) The given points are (9,10) and (10,9).

Slope of line segment through (0,0) and (9,10) is

m_1=\dfrac{10-0}{9-0}=\dfrac{10}{9}

Slope of line segment through (0,0) and (10,9) is

m_2=\dfrac{9-0}{10-0}=\dfrac{9}{10}

Product of slopes is

m_1\cdot m_2=\dfrac{10}{9}\cdot \dfrac{9}{10}=1\neq -1

Therefore, the line segments through the origin and the points (9,10) and (10,9) are not perpendicular.

(b) The given points are (9,6) and (4,-6).

Slope of line segment through (0,0) and (9,6) is

m_1=\dfrac{6-0}{9-0}=\dfrac{6}{9}=\dfrac{2}{3}

Slope of line segment through (0,0) and (4,-6) is

m_2=\dfrac{-6-0}{4-0}=\dfrac{-6}{4}=-\dfrac{3}{2}

Product of slopes is

m_1\cdot m_2=\dfrac{2}{3}\cdot (-\dfrac{3}{2})=-1

Therefore, the line segments through the origin and the points  (9,6) and (4,-6) are perpendicular.

8 0
4 years ago
Constant rate of proportionality for 2 1/2 miles in 3 1/3 minutes
jasenka [17]

Answer:

2/3 miles per hour i think

Step-by-step explanation:

5 0
3 years ago
Simplify each expression
son4ous [18]
(\sqrt{6} - \sqrt{5} )( \sqrt{10} +  \sqrt{3} )

= ( \sqrt{6} )( \sqrt{10} ) + ( \sqrt{6})( \sqrt{3} ) - (  \sqrt{5} )( \sqrt{10}) - ( \sqrt{5} )( \sqrt{3})

= \sqrt{60}  +  \sqrt{18} -   \sqrt{50} - \sqrt{15}

= 2\sqrt{15}  +  3\sqrt{2} -   5\sqrt{2} - \sqrt{15}

= \sqrt{15}  -2 \sqrt{2}
5 0
4 years ago
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