13. In isosceles triangle HMS, ZM is the vertex angle.

If m2M = (2x + 6)° and mZH (9x + 7)º, what

is mZM?

A. 10°

B. 22°

C. 79°

D. 80°

Answers

Answer 1

Answer:

B.[tex]22^{\circ}[/tex]

Step-by-step explanation:

We are given that HMS is an isosceles triangle.

Angle M is the vertex angle.

[tex]m\angle M=(2x+6)^{\circ}[/tex]

[tex]m\angle H=(9x+7)^{\circ}[/tex]

[tex]\angle H=\angle S[/tex]

By definition of isosceles triangle

We have to find the measure of angle M.

[tex]\angle M+\angle H+\angle S=180^{\circ}[/tex]

By using sum of angles of triangle property

Substitute the values

[tex]2x+6+9x+7+9x+7=180[/tex]

[tex]20x+20=180[/tex]

[tex]20x=180-20[/tex]

[tex]20x=160[/tex]

[tex]x=\frac{160}{20}=8[/tex]

Using the value of x

[tex]m\angle M=2(8)+6[/tex]

[tex]m\angle M=22^{\circ}[/tex]

Hence, option B is correct.


Related Questions

Plz help this is due today NO LINKS OR GROSS PICTURES OR I Will REPORT And please show work

Answers

Answer:

the volume is 120

Step-by-step explanation:

the formula for volume with length times width times height. Just multiply 3 x 5 x 8

Last year the depth of the river was 4.2 feet deep.

This year it dropped 5%.

Find the depth of the river this year to cross it.

Answers

Answer:

3.15 ツ

Step-by-step explanation:

Add or subtract. Th S. 29 + 46​

Answers

Answer:

Add I think

If there is a plus sign shouldnt it be adding

HELPPPPPPP SUMMMMBODYYY

Answers

B or A. I'm not sure, because i learned this 5 years ago, but it is a or b. the only reason i dont know which one is because i forgot what a filled in dot, versus a circle means. on point 3 on your number line, there's a circle, and there's a dot on answer A and answer B respectively. if memory serves, it should be B

How do I deposit more money into my bank account

Answers

Answer:

When you deposit cash at a bank or credit union, you typically need to use a deposit slip. That's simply a slip of paper that tells the teller where to put the money. Write your name and account number on the deposit slip (deposit slips are usually available at the lobby or drive-throug).

How many tryouts weighed MORE THAN 450 grams?

Answers

Answer:

11

Step-by-step explanation:

Basically count each doubt that is on the number line with a value greater than 450

Answer:

11 trouts

Step-by-step explanation:

Count the dots that are after the 450-gram mark.

Trouts that weigh 452 = 5

Trouts that weigh 454 = 2

Trouts that weigh 456 = 2

Trouts that weigh 458 = 1

Trouts that weigh 460 = 1

Then, add everything up.

5 + 2 + 2 + 1 + 1 = 11

So, 11 trouts weigh more than 450 grams.

Have a wonderful day!

part 1. Use side ratios to determine if the triangles in each pair of similar. If so complete the similarity statement. ​NO LINKS!!!

Answers

9514 1404 393

Answer:

  4) ΔEFG ~ ΔECD

  6) Not Similar

Step-by-step explanation:

4) Shortest to longest sides are ...

  EF : FG : GE = 14 : 16 : 20 = 7 : 8 : 10 (reduced)

  EC : CD : DE = 7 : 8 : 10

The triangles have the same side length ratios, so are similar.

  ΔEFT ~ ΔECD

__

6) Shortest to longest, the given sides have ratios ...

  UT : TV = 71 : 84 (reduced)

  GT : TH = 60 : 72 = 5 : 6 (reduced)

The side ratios are different, so the triangles are NOT SIMILAR.

Answer:

part 1. Use side ratios to determine if the triangles in each pair of similar. If so complete the similarity statement. NO LINKS!!!


The ages of undergraduate students in a state in a particular year approximately follows a normal distribution, with a mean
age of 20.6 years and a standard deviation of 1.3 years.
If the total number of undergraduate students in the state is 430,000, how many students are aged 19 years or more?
A)
123,000
B)
223,000
C)
313,000
D)
383,000

Answers

Answer is b hope this helps

solve ax^2-c=0 assume a and c are positive​

Answers

9514 1404 393

Answer:

  x = ±√(c/a)

Step-by-step explanation:

Undo what is done to x.

  ax² -c = 0

  ax² = c . . . . . . add c

  x² = c/a . . . . . . divide by a

  x = ±√(c/a) . . . . take the square root

Will you need to show that all of the parts of one triangle are congruent to all of the parts of the other triangle to prove they are congruent? Explain.

Answers

Answer:

will be sufficient to prove triangles congruent. If three sides of a triangle are congruent to three sides of another triangle, the triangles are congruent. If two sides and the included angle of one triangle are congruent to the corresponding parts of another triangle, the triangles are congruent.

Find two numbers a and b whose sum a+b is -3 and whose difference a−b is -5

Answers

Answer:

A=-4, b=1

Step-by-step explanation:

add those two function together u will got:

a+b+(a-b)=-3+(-5)

2a=-8

A=-4

-4+b=-3

B=1

The function f(x) = 9x +5 is one-to-one.
Find an equation for f-'(x), the inverse function.

Answers

Answer:

The inverse function is [tex]f^{-1}(x) = \frac{x - 5}{9}[/tex]

Step-by-step explanation:

Inverse function:

Suppose we have a one-to-one function y = f(x). To find it's inverse, we exchange y and x, and then isolate y.

In this question:

[tex]y = 9x + 5[/tex]

Exchanging x and y:

[tex]x = 9y + 5[/tex]

Isolating y:

[tex]9y = x - 5[/tex]

[tex]y = \frac{x - 5}{9}[/tex]

[tex]f^{-1}(x) = \frac{x - 5}{9}[/tex]

The inverse function is [tex]f^{-1}(x) = \frac{x - 5}{9}[/tex]

Please Help Me!
*Question Is Below Here*

Answers

The product of this equation is 21 when the values of X and Y are imputed into the equation.

Answer:

21

Step-by-step explanation:

2^3=8

7x6=42

42x8=336

336/ (10.6+5.4)

336/ 16= 21

Answer 21

please help !! i’ll give 5 stars if help.

Answers

Answer:

true

Step-by-step explanation:

there are two x-intercepts

Express tan(-310°) as a function of a positive acute angle in
terms of tan x

Answers

guessing

360 - 310 = 50

-tan(50)

Consider point P(4, 2) and line l with equation −3x+4y=6 .
The equation of the line that passes through P and is parallel to l

Answers

Step-by-step explanation:

all working is above

hope that helps

Bella invested $8,400 in an account paying an interest rate of 1.9% compounded continuously. Assuming no deposits or withdrawals are made, how long would it take, to the nearest tenth of a year, for the value of the account to reach $9890?

Answers

Answer:

8.6 years

Step-by-step explanation:

Find the area of the shape below


No links, docs, files, drives etc
I will mark the correct answer brainlyest
You earn many points​

Answers

Answer: 2200

Step-by-step explanation:

First we will find the area of the triangle, the formula for that is bh/2

(base multiplied by height divided by 2) then we input the numbers into our formula, 30 is the height of the triangle and 40 is the length of the base. So we have to solve 40*30/2 which is 600, then we solve for the square on the bottom which is b*h ( base multiplied by height) so it is 40*40, so we would get 1600, then we add 600 and 1600 together and get 2200.

Ryan bought a new phone case that was originally $80, it is now on sale for $60. What was the percentage change?

Answers

Answer:  25% decrease

Step-by-step explanation:

80 - 60

-----------  =  20/80 = 1/4 OR 25%

   80

Hope this helped :)

The answer is 25% ... 25% off 80 = $60.00

HELP HELP HELP HELP ❄️✨

Answers

Answer:

A) 8 days!!!!!

Answer:

Step-by-step explanation:

If you add the section from 1-3 and 4-6 you are adding 8 days plus 13 days. This will give you your answer of 21 days. Answer=D. 21 days

The original price of a pair of shoes is $60. The sale price is 25% off the original price. What is the amount off of
the original price?

Answers

The price after the 25% would be $15
Or it will be $45 off

Abby scored 87, 93, 96, and 89 on her first four history quizzes. What score does
Abby need to get on her fifth quiz to have an average of exactly 91 on her history
quizzes?

Answers

Answer:

73

Explanation

To find the average we need to find the mean. So you have

87,93,96, and 89. Add it up and you get 365. Next you have to divide it by how many numbers there are, so 365 divided by 5 and you get 73.

(I divided 365 by 5 because we are looking for the score she needs on the 5th quiz too.)

Which graph represents the given equation?
y = :2 + 41 - 2
O. A.
N
X
2
N
-21
B.
ܢܬ
#
2
-21
N
+21
C.

Answers

9514 1404 393

Answer:

  A

Step-by-step explanation:

The axis of symmetry of quadratic ax²+bx+c is x=-b/(2a). For the given equation, the axis of symmetry is ...

  x = -4/(2(3/2)) = -4/3

The only graph with its vertex at x=-4/3 is graph A.

_____

Additional comment

You can also make the correct choice by evaluating the equation at a couple of different values of x. Convenient ones are x= -1, or 0, or +1. The value at x=0 is the y-intercept, (0, -2), which seems to be a point on all of the graphs. The value at x=1 is 3/2+4-2 = 3.5, which looks like it is only seen on graph A.

State that the triangles in each pair of similar. If so, complete the similarity statement, and find the scale factor for each one. (you may go either direction). NO LINKS!!!​ Part 1

Answers

9514 1404 393

Answer:

  ΔLMN ~ ΔLFG; scale factor 7/3

Step-by-step explanation:

The ratios of side lengths, shortest to longest are ...

  FG : GL : LF = 24 : 36 : 42 = 4 : 6 : 7 (reduced)

  MN : NL : LM = 56 : 84 : 98 = 4 : 6 : 7 (reduced)

The side ratios are the same, so ΔLMN ~ ΔLFG. The scale factor is ...

  MN/FG = 56/24 = 7/3

Answer:

State that the triangles in each pair of similar. If so, complete the similarity statement, and find the scale factor for each one. (you may go either direction). NO LINKS!!! Part 1

Shreman drew a shape with these properties: •Four sides •Four right angles •Two sides have different lengths​

Answers

Answer: the shape is a rectangle

Step-by-step explanation:

Answer:

Rectangle :)

Step-by-step explanation:

find the surface area of each figure (spheres and hemispheres)

Answers

Answer:

7. 1520.53 cm²

8. 232.35 ft²

9. 706.86 m²

10. 4,156.32 mm²

11. 780.46 m²

12. 1,847.25 mi²

Step-by-step explanation:

Recall:

Surface area of sphere = 4πr²

Surface area of hemisphere = 2πr² + πr²

7. r = 11 cm

Plug in the value into the appropriate formula

Surface area of the sphere = 4*π*11² = 1520.53 cm² (nearest tenth)

8. r = ½(8.6) = 4.3 ft

Plug in the value into the appropriate formula

Surface area of the sphere = 4*π*4.3² = 232.35 ft² (nearest tenth)

9. r = ½(15) = 7.5 m

Surface area of the sphere = 4*π*7.5² = 706.86 m² (nearest tenth)

10. r = ½(42) = 21 mm

Plug in the value into the formula

Surface area of hemisphere = 2*π*21² + π*21² = 2,770.88 + 1,385.44

= 4,156.32 mm²

11. r = 9.1 m

Plug in the value into the formula

Surface area of hemisphere = 2*π*9.1² + π*9.1² = 520.31 + 260.15

= 780.46 m²

12. r = 14 mi

Plug in the value into the formula

Surface area of hemisphere = 2*π*14² + π*14² = 1,231.50 + 615.75

= 1,847.25 mi²

Part 3. Use side to determine if the triangles in each pair are similar. If so, complete the similarity statement. NO LINKS.!!!!

Answers

9514 1404 393

Answer:

  1) Not Similar

  2) Not Similar

Step-by-step explanation:

1) The side length ratios, shortest to longest, are ...

  VU : UW : WV = 27 : 39 : 52 (reduced)

  DC : CE : ED = 12 : 19 : 24 (reduced)

The side length ratios are different, so the triangles are NOT SIMILAR.

__

2) The side length ratios, shortest to longest are ...

  MK : KL = 13 : 19 (reduced)

  HK : KG = 6 : 9 = 2 : 3 (reduced)

The side length ratios are different, so the triangles are NOT SIMILAR.

Answer:

2) The side length ratios, shortest to longest are .. MK : KL = 13: 19 (reduced) HK : KG = 6:9 = 2:3 (reduced) The side length ratios are different, so the triangles are NOT SIMILAR.

A dog runs 100 yards from one corner of a rectangular park to the opposite corner. If the length of the park is 28 yards, what is the width?

Answers

9514 1404 393

Answer:

  96 yards

Step-by-step explanation:

The diagonal through the park cuts the rectangle into two right triangles. The Pythagorean theorem tells you the relationship between the sides of a right triangle and its hypotenuse: the sum of the squares of the sides is equal to the square of the hypotenuse.

The diagonal is the hypotenuse, so we have ...

  100² = 28² + w²

  w = √(10000 -784) = 96

The width of the park is 96 yards.

_____

Additional comment

The integer side lengths of a right triangle form what is called a "Pythagorean triple." One of the most often seen of these is (3, 4, 5). Other commonly seen Pythagorean triples are (5, 12, 13), (7, 24, 25), (8, 15, 17).

You may notice that the numbers here are those of the (7, 24, 25) Pythagorean triple, multiplied by 4. If you recognize the given lengths as having the ratio 28:100 = 7:25, you have the clue you need to determine the answer simply from your knowledge of Pythagorean triples.


HELP HELP HELP HELP

What is the equation of the trend line in the scatter plot ?

Answers

Answer:

Equation would be: y = [tex]\frac{4}{7} x + 4[/tex]

Hope this helps!

Nolan wants to buy carpet to cover his whole living room, except for the tiled floor. The tiled floor is 4 5\6 ft by 2 1\3 ft. Find the area the carpet needs to cover.

Answers

Answer:

11 5/18 ft squared

Step-by-step explanation:

because the floor is probably a rectangle, we can use the area formula to find the area of the carpet. the formula is

A = Length × Width

so now we plug in the numbers.

A = (4 5/6) × (2 1/3)

I'm going to simplify the numbers into an improper fraction because the numbers are in a mixed fraction format and I simply dislike it.

A = (29/6) × (7/3)

A = 203/18 ft squared

In the answer section, the numbers look different because I converted my 203/18 into a mixed number.

A = 203/18 = 11 5/18 ft squared

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