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3 years ago

Given parallelogram ABCD, find the lengths and angles required.

Mathematics

2 answers:

irakobra [83]3 years ago

5 0

Answer:

x = 3, line AB = 17 , and line CD = 17

y = 10, angle A = 70, and angle D = 70

Step-by-step explanation:

well since their the same length you can put them equal to each otheir

5x + 2 = 8x - 7

subtract 5x by both sides to get --> 2 = 3x -7

add 7 to both sides and get --> 9 = 3x

divide 3 by both sides to get x = 3

now plug it back in each equation we started with and get you answers

Same steps for y but different equations

prohojiy [21]3 years ago

5 0

Answer:

See below

Step-by-step explanation:

No actually the top is kinda of wrong. To find the angles I think you do this...

(2y+50) + (3y+40)=180

5y+90=180

5y=90

y=18

Then you plug it in the equations...

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What is the circumference of the following circle?<br> diameter=9cm

Tom [10]

Answer:

The circumference of the following circle is 9π (around 28.274)

Step-by-step explanation:

The circumference can be found by using the following formula, where d is the diameter of the circle...

dπ = 9π ≈ 28.274

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2 years ago

PLEASE ANSWER QUICK A manufacturing facility pays its employees an average wage of $4.50 an hour with a standard deviation of 50

evablogger [386]

Answer:

B.77.4%

Step-by-step explanation:

Mean wage (μ) = $4.50

Standard deviation (σ) = $0.50

For nay given salary X, the z-score is given by:

$z=\frac{X-\mu}{\sigma}$

For X = $3.75, the z-score is:

$z=\frac{3.75-4.50}{0.50}\\z=-1.5$

For X = $5.00, the z-score is:

$z=\frac{5.00-4.50}{0.50}\\z=1$

A z-score of -1.5 corresponds to the 6.68th percentile, while a score of 1 corresponds to the 84.13th percentile. Therefore, the percentage of workers getting paid between $3.75 and $5.00 an hour is:

$P=84.13-6.68\\P=77.45\%$

The answer is alternative B.77.4%

8 0

3 years ago

I need help. What is 9 - 3 / 1/3 + 1?

Allushta [10]

6/ 2/3 that the answe ti that that should be the answer

5 0

3 years ago

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there is a direct path from gayle's house to the store. due to construction, the direct route is closed and gayle must travel 6

NikAS [45]

Answer:

c2=10

Step-by-step explanation:

8^2+6^2=c2

64+36=120

c2=square root of 120..which is 10

4 0

2 years ago

Read 2 more answers

Express the integral as a limit of Riemann sums. Do not evaluate the limit. (Use the right endpoints of each subinterval as your

Darina [25.2K]

Answer:

Given definite integral as a limit of Riemann sums is:

$\lim_{n \to \infty} \sum^{n} _{i=1}3[\frac{9}{n^{3}}i^{3}+\frac{36}{n^{2}}i^{2}+\frac{97}{2n}i+22]$

Step-by-step explanation:

Given definite integral is:

$\int\limits^7_4 {\frac{x}{2}+x^{3}} \, dx \\f(x)=\frac{x}{2}+x^{3}---(1)\\\Delta x=\frac{b-a}{n}\\\\\Delta x=\frac{7-4}{n}=\frac{3}{n}\\\\x_{i}=a+\Delta xi\\a= Lower Limit=4\\\implies x_{i}=4+\frac{3}{n}i---(2)\\\\then\\f(x_{i})=\frac{x_{i}}{2}+x_{i}^{3}$

Substituting (2) in above

$f(x_{i})=\frac{1}{2}(4+\frac{3}{n}i)+(4+\frac{3}{n}i)^{3}\\\\f(x_{i})=(2+\frac{3}{2n}i)+(64+\frac{27}{n^{3}}i^{3}+3(16)\frac{3}{n}i+3(4)\frac{9}{n^{2}}i^{2})\\\\f(x_{i})=\frac{27}{n^{3}}i^{3}+\frac{108}{n^{2}}i^{2}+\frac{3}{2n}i+\frac{144}{n}i+66\\\\f(x_{i})=\frac{27}{n^{3}}i^{3}+\frac{108}{n^{2}}i^{2}+\frac{291}{2n}i+66\\\\f(x_{i})=3[\frac{9}{n^{3}}i^{3}+\frac{36}{n^{2}}i^{2}+\frac{97}{2n}i+22]$

Riemann sum is:

$= \lim_{n \to \infty} \sum^{n} _{i=1}3[\frac{9}{n^{3}}i^{3}+\frac{36}{n^{2}}i^{2}+\frac{97}{2n}i+22]$

4 0

3 years ago