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3 years ago

Parallelograms please finish this off

Mathematics

1 answer:

seraphim [82]3 years ago

7 0

Answer:

angle ABE = angle CDE because of the alternate interior angles theorem

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In February, Alec had 1,562 visitors to his website. In March, he had 1,310 visitors to his website. What is the percentage decr

tigry1 [53]

Answer:

16.1% is the percentage decrease.

Step-by-step explanation:

We are given the following in the question:

Visitors in February = 1,562

Visitors in march = 1,310

We have to find the percentage decrease of the number of visitors to Alec's website from February to March.

Percentage decrease =

$=\dfrac{\text{Change}}{\text{Original}}\times 100\%\\\\=\dfrac{1562-1310}{1562}\times 100\%\\\\=\dfrac{252}{1562}\times 100\% = 16.1\%$

Thus, 16.1% is the percentage decrease in the number of visitors to Alec's website from February to March.

6 0

3 years ago

Suppose r(140°, P)(A) = B and (RPD←→∘RPC←→)(A) = B, what is m∠CPD?

NISA [10]

An angle bisector divides an angle into two equal halves.

The measure of angle $\angle CPD$ is 70 degrees

The complete question is an illustrates the concept of angle bisector;

Where:

$\angle RPD = 140^o$ , and line PC bisects $\angle RPD$

Because line PC bisects $\angle RPD$ , then it means that the measure of RPD is twice the measure of CPD:

So, we have:

$\angle RDP = 2 \times \angle CPD$

Substitute $\angle RPD = 140^o$

$140^o = 2 \times \angle CPD$

Divide both sides by 2

$70^o = \angle CPD$

Apply symmetric property of equality:

$\angle CPD = 70^o$

Hence, the measure of angle $\angle CPD$ is 70 degrees

Read more about angle bisectors at:

brainly.com/question/12896755

5 0

2 years ago

Identify the closest perfect squares less than and greater than the radicand below, respectively.

wariber [46]

It would be A because they’re both perfect squares

3 0

2 years ago

H = (4 x + 3 y) + to make x the subject

Likurg_2 [28]

X=h/4 -3y/4 hope that helped

3 0

3 years ago

Write 0.216 as a rational number in lowest terms

lozanna [386]

Answer:

$=\frac{27}{125}$

Step-by-step explanation:

$0.216$

$\mathrm{Multiply\:and\:divide\:by\:10\:for\:every\:number\:after\:the\:decimal\:point.}$

$\mathrm{There\:are\:}3\mathrm{\:digits\:to\:the\:right\:of\:the\:decimal\:point,\:therefore\:multiply\:and\:divide\:by\:}1000$

$=\frac{0.216\cdot \:1000}{1000}$

$=\frac{216}{1000}$

$216,\:1000$

$\mathrm{The\:GCD\:of\:}a,\:b\mathrm{\:is\:the\:largest\:positive\:number\:that\:divides\:both\:}a\mathrm{\:and\:}b\mathrm{\:without\:a\:remainder}$

$2,\:3\mathrm{\:are\:all\:prime\:numbers,\:therefore\:no\:further\:factorization\:is\:possible}$

$=2\cdot \:2\cdot \:2\cdot \:3\cdot \:3\cdot \:3$

$2,\:5\mathrm{\:are\:all\:prime\:numbers,\:therefore\:no\:further\:factorization\:is\:possible}$

$=2\cdot \:2\cdot \:2\cdot \:5\cdot \:5\cdot \:5$

$\mathrm{The\:prime\:factors\:common\:to\:}216,\:1000\mathrm{\:are\:}$

$=2\cdot \:2\cdot \:2$

$\mathrm{Multiply\:the\:numbers:}\:2\cdot \:2\cdot \:2=8$

$=8$

$=\frac{8\cdot \:27}{8\cdot \:125}$

$\mathrm{Cancel\:the\:common\:factor:}\:8$

$=\frac{27}{125}$

Hence, the correct answer is $=\frac{27}{125}$

6 0

2 years ago