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3 years ago

Please help. Thank you

Mathematics

1 answer:

shepuryov [24]3 years ago

7 0

complementary is 90 degrees. so, you combine like terms.

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Parallelogram abcd is similar to parallelogram efgh. angle a is congruent to the measure of angle ___.

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Angle A is congruent to Angle E

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David brought a computer that was 20% off the regular price of 1080.If an 8% sales tax was added to the cost of the computer,wha

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Answer:

$933.12

Step-by-step explanation:

8% = 0.8

1080 * 0.8 = 864

864 * 1.08 = 933.12

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3 years ago

Find the error makayla said that 3/4 of figure 1>2/4 find and correct her mistake

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Makayla forgot to include figure 1.

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Joel wanted his mom to buy a super-sized box of his favorite cereal, but his mom didn't think it would fit in her cupboard. The

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<h3><u>Given</u>:-</h3>

Volume 6,900 cm^3
Length = 23 cm
Width = 10cm

Height of box ??

<h3><u>Solution</u>:-</h3>

$\\\diamond{\underline{\underline{\sf {\;\; Calculating\; Height\; of \; box :-}}}}\\$

$\\ \pink \star \: \: {\underline{\boxed {\bf{ Volume_{ \red{ \{Rectangle \}}} \: = l \times w \times h }}} }\; \red\bigstar \\$

Where,

» l denotes Length
» w denotes Width
» h denotes Height

$\\ \sf \implies \: {Volume_{ \red{ \{Rectangle \}}} \: = l \times w \times h} \\$

$\\ \sf \implies \: { 6,900 \: = \: 23 \: \times \: 10 \: \times h} \\$

$\\ \sf \implies \: { 6,900 \: = \: 230 \: \times \: h} \\$

$\\ \sf \implies \: { \: h \: = \: \frac{6900}{230} \: } \\$

$\\ \sf \implies \: { \: h \: = \: 30 \: {cm }^{3} \: } \\$

$\\ \implies{\underline{\boxed{\frak { Height = 30 \: cm^3 }}}} \; \purple\bigstar \: \\$

$\\\qquad \rule{120pt}{3pt}\\$

Therefore , the Volume of the Box is 30 cm ³.

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1 year ago

Quadrilateral A’B’C’D’ is a dilation of quadrilateral ABCD about point P. Quadrilateral ABCD is shown. Side AB is labeled 5. Sid

Stolb23 [73]

Answer: The correct option is (A) reduction.

Step-by-step explanation: Given that the quadrilateral A'B'C'D' is a dilation of the quadrilateral ABCD.

As shown in the given figure, the lengths of the sides of quadrilateral ABCD are as follows:

AB = 5 units, BC = 4 units, CD = 10 units and DA = 6 units.

And, the lengths of the sides of quadrilateral A'B'C'D' are as follows:

$A'B'=1\dfrac{1}{4}=\dfrac{5}{4}~\textup{units},~~B'C'=1~\textup{units},~~C'D'=2\dfrac{1}{2}=\dfrac{5}{2}~\textup{units},\\\\D'A'=1\dfrac{1}{2}=\dfrac{3}{2}~\textup{units}.$

We know that the dilation will be an enlargement if the scale factor is greater than 1 and it will be a reduction if the scale factor is less than 1.

Now, the scale factor is given by

$S=\dfrac{\textup{length of a side of the dilated figure}}{\textup{length of the corresponding side of the original figure}}\\\\\\\Rightarrow S=\dfrac{A'B'}{AB}=\dfrac{\frac{5}{4}}{5}=\dfrac{5}{4\times5}=\dfrac{1}{4}$

Since the scale factor is less than 1, so the dilation will be a reduction.

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