What are m21 and m_2?

What Are M21 And M_2?

Answers

Answer 1

Answer:

<1  = 35degrees

<2  = 30degrees

Step-by-step explanation:

Using the theorem that the sum of external angle is equal to sum of interior angle

Considering the smaller triangle

Exterior angle = 115 degrees

Sum of interior = <1 + 80

Equating both

<1 + 80 = 115

<1 = 115 - 80

<1  = 35degrees

For the big rectangle

Exterior angle = 115 degrees

Sum of interior = <2 + 85

Equating both

<2 + 85 = 115

<2 = 115 - 85

<2 = 30degrees


Related Questions

what is the volume of a cereal box that is 2 inches thick, 12 inches high and 10 inches wide?

Answers

Answer:

240

Step-by-step explanation:

12 times 2 is 24

24 times 10 is 240

Have a nice day

Answer:

240 [tex]Inches^{3}[/tex]

Step-by-step explanation:

Hakim is making birdhouses. Each birdhouse uses 7/8 yard of wood. What is the total length of wood Hakim will need to build 5 birdhouses.

Answers

Answer:  4 3/8 yards of wood

Step-by-step explanation:

It would be 5 times the ammount needed for one birdhouse so it would be-

7/8 x 5= 35/8 or 4 3/8

Answer 4 3/8 you need to multiply 7/8 by 5 (7/8 x 5)

Easy question look at the photo.

Answers

Answer:

SSS

Step-by-step explanation:

Answer:

Step-by-step explanation:

sss

a set of speakers that regularly cost $160 are on clearance for 35% off. Find the sales price of the speakers

Answers

Answer:

I'm pretty sure this is the answer....

The speakers are $56.

Sorry if i'm wrong. :')

Step-by-step explanation:

Answer:

You want to buy something that costs $160, and it's on sale for 35% off. What is the item's sale price?

First, convert the 35% to a real mathematical number. For percents, this is always done by dividing the 35% by 100%, or 35% / 100% = 0.350.

Second, find out what 35% of $160 is. This is the amount of the sale discount. This is always found by mulitplying 0.350 by the item's cost $160, like this:

0.350 x $160 = $56.00.

So for this sale, you'll save $56.00 on this item.

This means, the cost of the item to you is

$160 - $56.00 = $104.00.

Alternatively, you can think about it this way. The item is 35% off. This means you'll pay 65.000% of the total cost (100% - 35% = 65.000%).

Now what's 65.000% of the total cost?

0.650 x $160 = $104.00.

Just like the result above, the sale price on the item is $104.00

Which pair of ratios is proportional?

A. 3 ft : 8 sec and 5 ft : 11 sec

B. 6 yd : 10 mi and 18 yd : 30 mi

C. 3:25 and 5:50

D. 6 in. : 8 min and 3 min : 2 in.

Answers

The answer is = d due to the proportional

Find the measure. m∠GDF

Answers

Answer:

∠GDF = 26°

Step-by-step explanation:

6y + 2 = 7y - 2

subtract 6y from each side of the equation:

2 = y - 2

add 2 to each side:

y = 4

6(4) + 2 = 26°

25. Which two conversions are correct?
A. 7 mm = 70 cm
B. 7 cm = 0.07 m
C. 7,000 m = 7 km
D. 0.7 cm = 70 mm
E. 7 m = 7,000 km

Answers

Answer:

The answer is B and C

Step-by-step explanation:

1 Meter is equal to 0.001 Kilometer

1 Centimeter is equal to 0.01 Meters

The unit conversions which has the true measurements are

a) 7 cm = 0.07 m

b) 7,000 m = 7 km

What is unit conversion?

In order to translate measurements of a particular amount between different units, a mathematical conversion factor is usually used. This modifies the measurement of the quantity without altering its effects.

The particular circumstances or the intended result control the conversion process. This may be governed by law, a contract, a list of technical specifications, or other publicly available standards.

A precise conversion from one system to another is necessary for some measures in order to maintain the precision of both the original measurement and the conversion.

Based on the connection between a particular pair of original units and a particular pair of target units, each conversion factor is chosen.

Given data ,

Let the unit conversion be represented as A

Let the first measurement be p

where the value of p is

p = 7 cm

From the unit conversion , 1 m = 100 cm

So , 7 cm = 0.07 m

And , let the second measurement be q = 7,000 m

From the unit conversion , 1 km = 1,000 m

7,000 m = 7 km

Hence , the unit conversions are solved

To learn more about unit conversion click :

https://brainly.com/question/19420601

#SPJ2

Determine which polynomial is a perfect square trinomial. Explain your answer.

Group of answer choices
A. 49x2 − 28x + 16
B. 9a2 − 30a + 25
C. 25b2 − 45b − 81
D. 16x2 − 24x − 9

Answers

Answer:

The answer is B. 9a2-30a+25

Step-by-step explanation:

First of all, the second sign is going to be +, so you can toss out C and D without checking.

Then you take the square root of the two ends, multiply them, multiply by two and see if it matches.

sqrt(49) * sqrt(16) = 7 * 4 = 28

28 * 2 = 56

56 <> 28

So toss A.

sqrt(9) * sqrt(25) = 3 * 5 = 15

15 * 2 = 30

So the answer is B

(3a - 5)^2 = 9a^2 - 30a + 25

By the way, use ^ to indicate an exponent.

it takes 2 days to repair 150 meters of road. at this rate, how many days will it take to repair 6 kilometers of road?

Answers

Answer:

4 ndays

Step-by-step explanation:

PLEASE HELP MEEEE OMG SOMEONE HELP ASAP AND ACTUALLY EXPLAIN THEIR ANSWER PLS PLS PLS IM DESPERATE

solve the exponential growth equation:
y=23,000(1+0.5)^35

Answers

Answer:

In the pic.

Step-by-step explanation:

Answer:

27386.718479

Step-by-step explanation:

Hope this helped!!!

3186 people contributed to charity. this was an increase of 486 people over last year. Express the increase as a percentage.

Answers

Answer:

18%

Step-by-step explanation:

Given data

People that contributed the last year= 3186-486

=2700people

Hence the percentage change

=486/2700*100

=0.18*100

=18%

Hence the change in the number of people that contributed is 18%

can you help me with this​

Answers

Answer:

x = 18

Step-by-step explanation:

Sum of exterior angles of any polygon = 360

2x + 2x + 3x + 4x + 4x + 5x = 360

20x = 360    {Divide both sides by 20}

x = 360/20

x = 18

Directions: Tables, graphs (use grid points!), and stories are provided. For each case:
1. Find the slope
2. Find the y-intercept
3. Write an equation
4. Explain how you know the slope and y-intercept are correct. Check 2 points in your equation to show it is correct.
Linear Function Representation- Equation - Slope - Intercept

x y
0 4
2 9
4 14
6 19
8 24

Answers

Answer:

See explanations below

Step-by-step explanation:

Using the coordinate points in the table (0, 4) and (2, 9)

Slope m = y2-y1/x2-x1

m = 9-4/2-0

m = 5/2

slope = 5/2

Get the y-intercept

Substitute m = 5/2 and (0,4) into y = mx+c

4 = 5/2(0) + c

4 = 0+c

c = 4

y-intercept is 4

Get the equation

Recall that y = mx+c

y = 5/2x + 4

Using another 2 points (2,9) and (4, 14)

Slope = 14-9/4-2

Slope = 5/2

Since the slope is the same for the coordinates, hence the the equation is correct

Are these triangles similar? If yes, write a similarity statement.

Answers

Yes because they both have the same degrees, but one is slightly rotated

A cereal box has a length of 8 inches, a width of 2 inches and a height of 12 inches. What is the volume of the cereal box?

A. 96 in³

B. 192 in³

C. 48 in³

D. 22 in³

Answers

Answer:

192 in cubed

Step-by-step explanation:

Multiply 12*2= 24*8

Answer:

192 should be yyour answer

Step-by-step explanation:

In AFGH, FG – HF and mZF = 56°. Find m_H.

Answers

Answer:

m<H = 62°

Step-by-step explanation:

If FG is congruent to HF, it means their opposite angles are also congruent to each other. This implies that, <H = <G. Thus, ∆FGH is an isosceles triangle with base angles <F and <G.

Given that m<F = 56°, therefore:

56° + 2(m<H) = 180° (sum of triangle)

2(m<H) = 180° - 56°

2(m<H) = 124°

m<H = 124/2

m<H = 62°

find the missing side.

Answers

no sides are missing !

Please I need help with answering B...

5. The average price of a personal computer (PC) is $949.
Computer prices are approximately normally distributed
with = $100.
a. The least expensive 10% of personal computers cost less
than what amount? $821
b. The most expensive 30% of personal computers cost more
than what amount?

Answers

Take the numbers times by the percent to start the Robles

The overall distance traveled by a golf ball is tested by hitting the ball with Iron Byron, a mechanical golfer with a swing that is said to emulate the legendary champion, Byron Nelson. Ten randomly selected balls of two brands are tested and the overall distance measured. Assume the data are normally distributed. The data follow:
Brand 1 257 276 260 262 287 271 260 265 283 271
Brand 2 273 281 279 275 271 270 263 267 263 268
1) Is there evidence to show that there is a difference in the mean overall distance of brands? Use alpha = 0.05.
2) Calculate a 95% two-sided confidence interval on the difference in mean overall distance.

Answers

Answer:

1) Since the calculated value of t = -0.241640 does not fall in the critical region so we accept H0 and conclude that there is not enough evidence to show the difference in the mean overall distance of brands.

2) The 95% CI  is [-18.587; 1.01242]

Step-by-step explanation:

The given data is

Brand 1     257      276     260   262   287   271    260  265   283     271

Brand 2     273     281      279    275   271    270   263   267   263    268

Difference d -16   -5       -19       -13     -16    - 01       -3     -2      20     3 ∑ -98

d²               256     25     361      169    256     1     9      4     400      9 ∑1490

1) Let the hypotheses be

H0: ud= 0 against the claim Ha: ud ≠0

2) The degrees of freedom = n-1= 10-1= 9

3) The significance level is 0.05

4) The test statistic is

t= d`/sd/√n

5) The critical region is ║t║≤ t (0.025,9) = ±2.262

Calculations

6) d`= ∑di/n= -98/10= -9.8

Sd²= ∑(di-d`)²/n-1 = 1/n-1 [∑di²- (∑di)²n]

= 1/9[1490-(-9.8)²/10] =1/9 [1490-9.604]= 164.4884

Sd= 12.825

Therefore

t= d`/ sd/√n

t= -9.8/ 12.825/√10

t= -0.764132/3.16227= -0.241640

7) Conclusion:

1) Since the calculated value of t = -0.241640 does not fall in the critical region so we accept H0 and conclude that there is not enough evidence to show the difference in the mean overall distance of brands.

2) The confidence interval for the difference of two samples can be calculated by

d ` ± td sd/√n

Putting the values

-9.8 ±2.262* 12.825/√10

[-18.587; 1.01242]

Which number does the blue dot represent on the number line?

Answers

it represents C -12
The blue dot represents -12, the line is going forward 3 points and back 3. So each point is worth 3 points. Moving back 4 points equals -12.

What is X in this equation?

Answers

Answer:

B) 44

Step-by-step explanation:

x + 54 + 82 = 180

x + 136 = 180

x = 180 - 136

x = 44

Find the measure of angle B.​

Answers

Step-by-step explanation:

C = 180 - 112 = 68°

A = 180 - 68 - 51 = 61°

B = 180 - 61 = 119°

Another way :

We know that B = C + 51 ==> B = 68 + 51 = 119°

The area of a rectangular living room is 264 square feet. The length of the room is 2 feet less than twice the width.
What is the width of the living room in feet?

Answers

9514 1404 393

Answer:

  12 ft

Step-by-step explanation:

Let the width of the room be represented by w. Then the length is (2w-2), and the area is ...

  A = LW

  264 = (2w-2)w

  132 = w² -w . . . . . . . divide by 2, eliminate parentheses

  132.25 = w² -w +.25 . . . . . add (-1/2)² to complete the square

  √132.25 = w -0.5 . . . . . take the square root

  0.5 +11.5 = w = 12 . . . . . add 0.5; use the positive root

The width of the living room is 12 feet.

evaluate the expression for the given value 3a^2 + 6b^3. a=3 b=2​

Answers

Answer:

5. is the answer

Step-by-step explanation:

A sports fan conducted a test to investigate whether male high school athletes are equally divided among football, soccer, swimming, tennis, and basketball. A sample of male high school athletes was selected and the resulting value of the chi-square test statistic was 10.65. Which if the following represents the p value

Answers

Answer:

[tex]P(x^{2} \geq 10.65) = 0.03\\[/tex]

Step-by-step explanation:

Since there are 5 categories, there are 5−1=4 degrees of freedom. The probability of obtaining a chi-square test statistic greater than or equal to 10.65 with 4 degrees of freedom is approximately 0.03, as found using technology.

What is 48/25 simplified

Answers

Answer:

exact form - 48/25

decimal form - 1.92

mixed number  - 1 23/25

Step-by-step explanation:

|y-x|,if y>x pls dont write in absolute value

Answers

Answer:

The answer is y-x

Step-by-step explanation:

Applying the rule that    |y| = y when y>0, we can plug in the values of y-x instead of y.

So, |y-x| = y-x if y>0

Jayden is filling his 290 gallon pool with a garden hose. The garden hose produces 29 gallons of water per hour. How long will it take for Jayden to fill up his pool?

Answers

Answer:

10 hours

Step-by-step explanation:

290 divided by 29 = 10

check to see if its correct 29 multiple by 10 is 290

What is the answer to 1+1 ?​

Answers

Answer:

2

Step-by-step explanation:

1+1=2

Thank you for coming to my TED Talk

Answer:

22

Step-by-step explanation:

henry is 70 inches tall Aaron is 6feey 2inches tall how much taller is Aaron than Henry

Answers

Answer:

4 inches taller

Step-by-step explanation:

aaron is 74 inches

Other Questions
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