MATHEMATICS COLLEGE

Find the missing angles in the Parallelogram

Answers

Answer 1

Answer:

Explanation:

On the first pass, you know ...

g = 80° . . . vertical angles
I = 110° . . . vertical angles
m = 20° . . . alternate interior angles (WX║ZY)

Then on the second pass, you can figure ...

f = h = 180° -80° = 100° . . . linear angles
j = k = 180° -110° = 70° . . . linear angles
b = n = 180° -110° -m = 50° . . . sum of angles of a triangle

And the remaining angles can be determined using external angle and sum-of-angle relationships.

a = o = h -70° = 30°
c = 80° -b = 30°
d = 360° -80° -20° -I = 150°
L = c - m = 10° . . . c and L+m are alternate interior angles
e = L +70° or 110° - o = 80°

Related Questions

6 students share 4 bagels equally. How many pieces does each person get? (p.s thanks to everyone who answers)
90 units needed 8units per case
Under the 14 =126Under the 16=144Under the 6=72Under the 21=252Who makes more per hour?
Polygon V has an area of 1 square unit. Jun-seo drew a scaled version of Polygon V using a scale factor of 7 and labeled it Polygon W.
A particular salad contains 4 units of vitamin A, 5 units of vitamin B complex, and 2 mg of fat per serving. A nutritious soup contains 6 units of vitamin A, 2 units of vitamin B complex, and 3 mg of fat per serving. If a lunch consisting of these two foods is to have at least 10 units of vitamin A and at least 10 units of vitamin B complex, how many servings of each should be used to minimize the total number of milligrams of fat

A survey of 1000 young adults nationwide found that among adults aged 18-29, 35% of women and 30% of men had tattoos. Suppose that these percentages are based on random samples of 500 women and 500 men. Using a 2.5% level of significance, can you conclude that among adults aged 18-29, the proportion of all women who have tattoos exceeds the proportion of all men who have tattoos?

Answers

Answer:

95% confidence interval for adults in age group 18-29 is (-0.007, 0.107)

Step-by-step explanation:

Given

N1 = n2 = 500

% of males = 0.30

% of females = 0.35

95% confidence interval

(p2-p1) + z(0.025) sqrt (p1q1/n1 + p2q2/n2) and (p2-p1) - z(0.025) sqrt (p1q1/n1 + p2q2/n2)

Substituting the given values, we get –

(0.35-0.30) + 1.96 sqrt (0.3*0.7/500 + 0.35*0.65/500) and (0.35-0.30) - 1.96 sqrt (0.3*0.7/500 + 0.35*0.65/500)

0.05 + (1.96 *0.029) and 0.05 - (1.96 *0.029)

0.05 + 0.057 and 0.05 – 0.057

(-0.007, 0.107)

Solve for x x-23=17 NEED TO KNOW FAST PLEASE!!!!

Answers

Answer:

x = 40

Step-by-step explanation:

Adding 23 to both sides gives us:

x - 23 + 23 = 17 + 23

x = 40

Answer:

$\boxed{ \bold{ \bold{ \sf{x = 40}}}}$

Step-by-step explanation:

$\sf{x - 23 = 17}$

Move constant to right hand side and change it's sign

$\sf{x = 17 + 23}$

Add the numbers

$\sf{x = 40}$

Hope I helped!

Best regards!!

A quality control chart is used to monitor the customer wait time at a local call center. Sample means of five times are averaged and plotted over time. The last 50 sample means are randomly distributed between the upper and lower control limits. The process is _______.

Answers

Answer:

in-control

Step-by-step explanation:

basically, their are 2 types of control charts delineated:

1) uni-variate control chart : shows one quality characteristic

2)multivariate control chart : shows 2 or more than two quality characteristics

in statistics, we have "upper control limit" and "lower control limit".

if the system/variables are within these limits it is 'in-control' other wise 'out of control'

in-controlsays that all dots are within control limit and they have random pattern.

Solve for x. round to the nearest tenth.

Answers

tan (angle = Opposite / adjacent

tan(28) = 18/x

x = 18 / tan(28)

x = 33.85

Rounded to nearest tenth X = 33.9

Final answer:

The student correctly solved the equations given for x. Note that an equation with an unknown variable squared might have two solutions. The way to solve for x alters according to what the equation requires, whether it is adding, subtracting, or dividing.

Explanation:

It seems like the student is trying to solve equations for x. The equations given were all solved correctly. Keep in mind that when an equation contains an unknown variable squared, there could be two solutions, and one or both could be reasonable depending on the problem. For example, consider the equation x² +0.0211x -0.0211 = 0. This could be rearranged to solve for x. Other variables are known unless additional calculations needed if they are not.

Remember that the principle of altering the equation to solve for x is employed, whether we add, subtract or divide by certain values. Like mentioned in the information provided, when dividing by powers of 10, you would move the decimal to the left, corresponding to the number of zeros in the power of ten.

Learn more about Solving for x here:

brainly.com/question/32490578

#SPJ6

How much more gasoline will it take to fill the tank?

Answers

Answer:

I think you need to divide both fractions and see if you will get a answer from the answer choices.

Step-by-step explanation:

Solve the equation 6 = p -8

Answers

Answer:

p = 14

Step-by-step explanation:

6 = p - 8

We want to isolate p, so add 8 to both sides.

6 + 8 = p

Add.

14 = p

Hope this helps!

Answer is: P = 14

Switch up the numbers.

6 = p - 8 → 6 + 8 = P

Solve for P.

6 + 8 = 14

Hence, 14 is the answer.