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3 years ago

Find the value of a. Then find the angle measures of the quadrilateral.

Mathematics

1 answer:

Rzqust [24]3 years ago

4 0

To solve this problem you must apply the proccedure shown below:

1. You know that the sum of the angles is $360$ degrees. Therefore, you must sum them and solve for $a$ :

$a+a+2a+2a=360$

$a=60$ degrees

2. Therefore, the angles are:

$a=60$ degrees

$2a=2(60)=120$ degrees

The answers are:

$a=60$ degrees

$60$ degrees, $60$ degrees, $120$ degrees, $120$ degrees

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Needed help for my math please

vesna_86 [32]

Answer:

see explanation

Step-by-step explanation:

(a)

$\frac{a}{a}$ = 1 ( any value divided by itself = 1 )

(b)

$\frac{a}{1}$ = a ( any value divide by 1 is the value itself )

(c)

$\frac{a}{b}$ × $\frac{c}{d}$ = $\frac{ac}{bd}$

The product of 2 fractions is the product of the numerators divided by the product of the denominators

(d)

$\frac{a}{b}$ ÷ $\frac{c}{d}$ = $\frac{ad}{bc}$

To divide 2 fractions, leave the first fraction, change division to multiplication and turn the second fraction upside down, that is

$\frac{a}{b}$ ÷ $\frac{c}{d}$ = $\frac{a}{b}$ × $\frac{d}{c}$ = $\frac{ad}{bc}$

(e)

$\frac{a}{d}$ + $\frac{b}{d}$ = $\frac{a+b}{d}$

Since the fractions have a like denominator, add the numerators leaving the denominator. This applies to subtraction also

(f)

$\frac{a}{d}$ - $\frac{b}{d}$ = $\frac{a-b}{d}$

See explanation for part (e)

6 0

3 years ago

Sophia and her friends are planning to spend the day at the zoo. It will cost her $12.75 for admission and $2.50 for each ticket

lukranit [14]

Sofia would have $34.75 left

4 0

3 years ago

Ashley, Bob, Claire, and Daniel are among 13 students who entered a lottery to win a free vacation to Paris.

AlladinOne [14]

Answer:

0.0014 = 0.14% probability that Ashley, Bob, Claire, and Daniel will be chosen.

Step-by-step explanation:

A probability is the number of desired outcomes divided by the number of total outcomes.

The order in which the students are chosen is not important, so the combinations formula is used to solve this question.

Combinations formula:

$C_{n,x}$ is the number of different combinations of x objects from a set of n elements, given by the following formula.

$C_{n,x} = \frac{n!}{x!(n-x)!}$

Desired outcomes:

4 students from a set of 4(Ashley, Bob, Claire, and Daniel). So

$D = C_{4,4} = \frac{4!}{4!(4-4)!} = 1$

Total outcomes:

4 students from a set of 13(number of students in the lottery). So

$T = C_{13,4} = \frac{13!}{4!(13-4)!} = 715$

Probability:

$p = \frac{D}{T} = \frac{1}{715} = 0.0014$

0.0014 = 0.14% probability that Ashley, Bob, Claire, and Daniel will be chosen.

7 0

3 years ago

In 2007, the U.S. population was 302 million people. In 2012, it was 314 million. What was the rate of population change per yea

allsm [11]

Answer:

314/302=1.039735 growth in US population in 5 years

(1.039735)^1/5=0.782% average growth in US population per year.

6 0

4 years ago

Find the volume of this cylinder. give your answer to 1 decimal place base is 11cm. length is 14cm

nlexa [21]

Answer:

Volume = 1330.6cm³

Step-by-step explanation:

Step one

This problem bothers on the mensuration of solid shapes a cylinder.

We know that the volume of a cylinder is expressed as

V= πr²h

Step two

Given data

Base of the cylinder /diameter = 11cm

Hence radius = 11/2= 5.5cm

Length /height of cylinder = 14cm

Step three

Substituting our given data we have

Volume = 3.142*(5.5)²*14

Volume = 3.142*30.25*14

Volume = 1330.637cm³

to 1 decimal place we have

Volume = 1330.6cm³

3 0

4 years ago