7.4.PS-6
Question Help
Find the area of the polygon.
20 cm
14 cm
4 cm
3 cm
5 C

The measure of m<3 is 105 degrees

Using the law that states that the sum of an interior angle of a rectangle is equal to the exterior.

From the given diagram;

m<X + m<Y = m<3

Given that m<X= 55 degrees and m<Y = 50 degrees

m<3 = 55 + 50

m<3 = 105 degrees

Hence the measure of m<3 is 105 degrees

Learn more here: https://brainly.com/question/24193697

Answer:

eeeerrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrm i have no idea

Step-by-step explanation:

#1

Solving for x only

[tex]\\ \sf\Rrightarrow x+90+55=180[/tex](Linear pair

[tex]\\ \sf\Rrightarrow x+145=180[/tex]

[tex]\\ \sf\Rrightarrow x=35°[/tex]

#2

[tex]\\ \sf\Rrightarrow x+32=90[/tex]

[tex]\\ \sf\Rrightarrow x=90-32=58°[/tex]

And

[tex]\\ \sf\Rrightarrow y+x=90°[/tex]

[tex]\\ \sf\Rrightarrow y=90-58=32°[/tex]

Answer:

Angle Y:

Angle X:

Hope this helps!

Answer:

Results are below.

Step-by-step explanation:

Giving the following information:

Initial investment (P)= $5,000

Interest rate (r)= 5% simple interest

Number of periods (t)= 7 years

To calculate the interest earned, we need to use the following formula:

I= P*r*t

I= 5,000*0.05*7

I= $1,750

To calculate the future value of the investment, we need to use the following formula:

FV= I + P

FV= 1,750 + 5,000

FV= $6,750

Answer:

[tex] m\angle NED = 100\degree [/tex]

[tex] m\angle CED = 80\degree [/tex]

Step-by-step explanation:

By exterior angle theorem:

(9x - 8)° = (5x - 10)° + 50°

(9x - 8)° = (5x - 10 + 50)°

(9x - 8)° = (5x + 40)°

9x - 8 = 5x + 40

9x - 5x = 40 + 8

4x = 48

x = 48/4

x = 12

(9x - 8)° = (9*12 - 8)° = (108 - 8)° = 100°

[tex] \implies m\angle NED = 100\degree [/tex]

[tex] m\angle CED = 180\degree - 100\degree [/tex] (Linear pair angles)

[tex] \therefore m\angle CED = 80\degree [/tex]

[tex]\huge{ \mathcal{  \underline{ Answer }}}\:  ✓ [/tex]

Measure of Exterior Angle of a triangle is equal to the sum of measures of two opposite interior angles .

From above statement we have :

_____________________________

[tex] \mathrm{\angle \: NED = 9x - 8}[/tex]

_____________________________

[tex]\mathrm{ \#TeeNForeveR}[/tex]

Answer:

I believe the answer is A

Answer:

A is your answer I think

Step-by-step explanation:

maybe wait for someone else to answer as well haha

Answer:

I would tell them to buy a ps5 for me

Step-by-step explanation:

For a credit card be careful with what you buy, save it for the important stuff. Also make sure to constantly check your credit score and to check your purchases to make sure that only what you purchased is on there.

Answer:

their is 50 ways.......

The possible combination, 252 ways you can pack shirts for a trip.

Mathematical calculations are used to determine the number of different configurations for a given set, and this procedure is referred to as permutation. A permutation is a phrase that, simply put, refers to the diversity of alternative configurations or ordering. When employing permutations, the sequence of the arrangement is crucial.

Formula for combination is

n!/(r! x (n-r)!),

where n is a number of shirts and r is the shirts selected.

In combination,

order doesn’t matter, as opposed to permutation.

According to the question,

n = 10 and r = 5

Then substituting the above values to the formula,

that means,

10! / ( 5! x 5!)

= 10x9x8x7x6 / ( 5x4x3x2x1)

= 252

Therefore, You can pack 5 shirts in 252 ways.

To learn more about the permutation;

https://brainly.com/question/1216161

#SPJ2

Answer:

x = 64

Step-by-step explanation:

Remark

The markings on the triangle tell us that the sides are equal. There is no marking on the third side, so it is not equal to the other two. The important fact is the angles opposite equal sides are also equal. That means that the angle on the lower right is equal to x.

Equation

So you have two angles = to x.

x + x + 52 = 180                     All triangles have interior angles of 180

2x + 52 = 180                         Combine the like terms on the left.

     - 52     -52                        Subtract 52 from both sides

2x =          128                        Divide by 2

2x/2 =      128/2

x = 64

Answer: D

Step-by-step explanation:

Answer:

your total is..

Step-by-step explanation:

$14.3 you just gotta add em all together!

Answer:

$69

Step-by-step explanation:

total cost of slices of pizza = 24 x 1.75 = $42

Total cost of carrots = 12 x 0.80 = $9.6

total cost of cookies = 12 x 1.45 = $17.4

total cost = 42 + 9.6 + 17.4 = $69

Answer:

supplementary angle

Step-by-step explanation:

angles 6 and 8 are same side exterior angles

Answer:

40 Meters

Step-by-step explanation:

Answer: 12.56 cm

Step-by-step explanation:

Pi looks like this π or 3.14 or 22/7

A formula for circumference is: C = 2π r

The radius or r listed in the diagram is 2cm.

1) Plug r into the equation...

C = 2π 2

2) Simplify the equation

C = 4π

3) You can insert 4π to be exact in a calculator or do 4 x 3.14 (its still the same thing but you have to round if you are using this π)

However both answers come out to be 12.56

Answer:

20 feet

Step-by-step explanation:

[tex]1)\ A = \frac{b * h}{2}[/tex]

[tex]2)\ 120 = \frac{12b}{2}[/tex]

[tex]3)\ 12b = 240[/tex]

[tex]4)\ b = 20[/tex]

Answer:

Using a personal loan APR of 7.63% as an example, here's a simple breakdown of what the personal loan payment calculator can show you for a $5,000 loan and $10,000 loan.

Step-by-step explanation:

Answer:

Yeah if you want too

Step-by-step explanation:

It depends if its school or personal

I'm using it on my own laptop

Step-by-step explanation:

Answer:

2option is the correct answer

Answer:

x = 20

Step-by-step explanation:

x/10 = 2 multiply both sides of the equation by ten ↓

10x x/10 = 10 x 2 reduce the numbers with the greatest common factor 10 ↓

x = 10 x 2 multiply the numbers ↓

x = 20

Answer:

Sand

Step-by-step explanation:

120kg = (4 + 3 + 1) units = 8 units

1 unit = 120 ÷ 8 = 15kg

Calculating required quantities:

Cement: 4 units = 4(15) = 60kg

Sand: 3 units = 3(15) = 45kg

Gravel: 1 unit = 1(15) = 15kg

Comparing these values to those given in the question, he is short of sand.

Answer:

-5

Step-by-step explanation:

Answer:

slope = -5

Step-by-step explanation:

m = y2-y1/x2-x1 (this is the equation for finding a slope of 2 points)

so plug them into this equation.

2+3/-2+1 = 5/-1 = -5.

the slope is -5

Answer:

d. 0.303

Step-by-step explanation:

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

Subtraction between normal variables:

When two normal variables are subtracted, the mean is the difference of the means, while the standard deviation is the square root of the sum of the variances.

In this question:

We want the probability of Sean having a greater income than Evan, which is the probability of the subtraction of Sean's income by Evan's income is greater than 0.

Distribution of the difference between Sean's and Evan's income:

Sean has mean 225, Evan 240. So

[tex]\mu = 225 - 240 = -15[/tex]

Sean's standard deviation is of 25, Evan's of 15. So

[tex]\sigma = \sqrt{25^2+15^2} = 29.15[/tex]

Probability that Sean will have a greater income than Evan in a randomly selected week:

Probability of the subtraction being greater than 0, which is 1 subtracted by the pvalue of Z when X = 0. So

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{0 - (-15)}{29.15}[/tex]

[tex]Z = 0.51[/tex]

[tex]Z = 0.51[/tex] has a pvalue of 0.695

1 - 0.695 = 0.305.

Closest to 0.303, option d.

Hereaaaaaaaaaaaaaaaaaaaaaaaaaaa

Answer:

B. 40°

Step-by-step explanation:

I calculated it logically