Mathematics High School

1) LaTeX: m\angle1=\:\:\:\:\:\:\:\:^\circm ∠ 1 = ∘

2) LaTeX: m\angle2=\:\:\:\:\:^\circm ∠ 2 = ∘

3) LaTeX: x\:=\:\:\:\:m\:\left(exterior\:angle\right)\:=

1) LaTeX: M\angle1=\:\:\:\:\:\:\:\:^\circm 1 = 2) LaTeX: M\angle2=\:\:\:\:\:^\circm 2 = 3) LaTeX: X\:=\:\:\:\:m\:\left(exterior\:angle\right)\:=

Answers

Answer 1

Answer:

1. m<1 = 139°

2. m<2 = 41°

3. x = 29

Step-by-step explanation:

1. m<1 = 86° + 53° (exterior angle theorem of a triangle)

m<1 = 139°

2. 133° = m<2 + 92° (exterior angle theorem of a triangle)

133° - 92° = m<2 (Subtraction property of equality)

41° = m<2

m<2 = 41°

3. 4x + 15 = 93° + (x + 9)° (exterior angle theorem of a triangle)

Add like terms

4x + 15 = 102 + x

4x - x + 15 = 102 (substraction property of equality)

3x + 15 = 102

3x = 102 - 15

3x = 87

x = 87/3 (division property of equality)

x = 29

Related Questions

Find gradient of y=x^2-4x+6 at (3,3)

Answers

[tex]y=x^2-4x+6\\y'=2x-4[/tex]

To find the slope/gradient of the curve at the specific point, we use the derivative.

Then substitute x = 3 in y' = 2x-4

[tex]y'=2(3)-4\\y'=6-4\\y'=2[/tex]

Therefore, the slope/gradient of y = x²-4x+6 at (3,3) is 2.

Solve d - (-2) = 19 for d.

d =

Answers

d= 17
hope that helps :3

Answer:

d=17

Step-by-step explanation:

Negative and Negative adds up to a Positive so...

d + 2 = 19

19-2=17

d=17

Eight children sit together at story time. Seven children sit in a circle and one child sits in the middle to tell the story. In how many different ways can the children sit

Answers

Answer: 40320

Step-by-step explanation: I think thats correct because the kids on the outside is 1234567 so then there is a kid in the middle.

The number of ways for the children sit will be 40,320.

What is an expression?

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

Eight children sit together at story time.

And, Seven children sit in a circle and one child sits in the middle to tell the story.

Now,

Since, There are 8 students.

Hence, The number of ways for the children sit = 8!

                                                                          = 40,320

Learn more about the mathematical expression visit:

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Зx +1 <10
What is the answer for this

Answers

Answer:

x < 3

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Equality Properties

Step-by-step explanation:

Step 1: Define Inequality

3x + 1 < 10

Step 2: Solve for x

Subtract 1 on both sides:                    3x < 9Divide 3 on both sides:                       x < 3

Here we see that any value x smaller than 3 would work as a solution to the inequality.

A school district has decided that students in grades 7 through 12 should receive 400 minutes of physical education every 10 school days. A gym teacher at one of the schools believes that his students are not meeting this criterion. She randomly selects 50 students and it is found that her students have a mean of 385 minutes and a standard deviation of 55 minutes. Is this evidence to support her claim?

Answers

Answer:

Yes

Step-by-step explanation:

Based on the information provided we can say that Yes, this is enough evidence to support her claim. Since the 50 students were randomly selected and the physical education criteria applies to all of the students in that grade range then these 50 students perfectly represent the total population. That being the case, the results gathered to show that with a standard deviation of 55 minutes some students are surpassing the requirement by very little but others are falling very far from that requirement. When it is a requirement for all of the students in that grade range. Therefore, it is enough to support her claim.

If I had an iPhone 6 that was 12 by 9 inches and an iPhone X that was 17 by 8 inches, how many feet would they be? If you want a challenge divided by 2 at the end.

Answers

Answer:

$13.41

Step-by-step explanation:

maybe, I'm not that sure :/

btw you can, can you please mark me brainliest :)

r/2+y=11
pleaseeee help!! i need the answer like rn

Answers

Answer:

r=99

Step-by-step explanation:

What is this??????????

Answers

Answer:

A drawing. I guess the sky

Step-by-step explanation:

this is a very hard question

Please answer correctly !!!!!!!!!!!! Will mark Brianliest !!!!!!!!!!!!!!!!!!!

Answers

Answer:

√39

Step-by-step explanation:

use the Pythagorean Th because the triangle is right

8² = 5² + x²

8²-5² = x²

√64-25 = x

√39 =x

HELP PLEASE AND THANK YOU

Answers

Answer:

C.) -3/2

Step-by-step explanation:

To find the slope you need to use the formula: m = y2 - y1/x2 - x1

Point: (-2,1) and (2,-5)

m = y2 - y1/x2 - x1

m = -5 - 1/2 - (-2)

m = -6/2 + 2

m = -6/4

m = -3/2

Please help using the picture below I will give BRAINLY!

Answers

Answer:

2) 76

3)  64

Step-by-step explanation:

The actual answer is
A) 76
B) 62

The other person did a miscalculation

confused :( please help!!!!

angles are confusing aaaaaa

Answers

Answer:

22

Step-by-step explanation:

Angles CBD and ABD are complementary, which means that they have a sum of 90 degrees. Since it tells you that angle ABC is 68 degrees, subtract that from 90.

90-68= 22

Answer:

29

Step-by-step explanation:

Gino and Milla each open a savings account with an initial deposit of $6,300. Gino's account pays 2% simple interest annually. Milla's account pays 3% simple interest annually. If Gino and Milla make no other deposits or withdrawals, how much more interest will Milla's account earn than Gino's after 1 year?

Answers

Answer:

Milla's account would earn $63 more that Gino's account after 1 year.

Step-by-step explanation:

Both Gino and Milla made an initial deposit of $6300.

Principal = $6300

Gino's rate = 2% = 0.02

Milla's rate = 3% = 0.03

number of years = 1

Interest = Principal x Rate x Time

So that,

for Gino;

Interest = 6300 x 0.02 x 1

            = 126

The interest on Gino's savings after a year is $126.

for Milla;

Interest = 6300 x 0.03 x 1

             = 189

The interest on Milla's savings after a year is $189.

Milla's interest - Gino's interest = 189 - 126

                                                   = 63

Milla's account would earn $63 more that Gino's account after 1 year.

Derek wants to ship items that weigh a total of 7 pounds, and Keisha wants to ship items that weigh a total of 10 pounds. How much more does Keisha pay for shipping than Derek? $4.50 $6.00 $9.50 $12.00

Answers

Answer:

what are the shipping costs?

Answer:

the answer is A. 4.50

Step-by-step explanation:

of her book on Tuesday, and of her book on Wednesday,
3
if Joyce reads - of her book on Monday,
6
what part of her book does she read?
point)
9
10
о
VINIATE
10
4

Answers

Answer: 9/10 of the book.

Step-by-step explanation:

1. Convert all of the fractions to have a common denominator. 6, 5, and 3 are all multiples of 30, so we can convert the fractions to 30ths.

1/6 = 5/30

2/5 = 12/30

1/3 = 10/30

2. Add the fractions together to find the whole amount of the book Joyce has read.

5/30 + 12/30 + 10/30 = 27/30

3. Simplify

27/30 -> 9/10

Step-by-step explanation:

1/6 + 2/5 +1/3=

nominator × with the other fraction denominator+ second fraction nominator × with first denominator / denominator ×denominator =

1/6+2/5= 1×5+2×6/6×5=5+12/30=17/30

17/30+1/3=,17×3+1×30/30×3=51+30/90=,81/90

now let's try to simplify it.

81/90 by 9=9/10

A waiter had fifty-seven customers. If twenty-three left, how many customers would the waiter still have?

Answers

Answer:

34

Step-by-step explanation:

Answer:

34 customers.

Step-by-step explanation:

57-23=34


Write in y=mx+b form

Answers

Answer:

y = -2/3x

Step-by-step explanation:

To write in y=mx+b form, you need the y-intercept (b) and the slope (m).

The y-intercept is the point the line crosses the y-axis.  This line crosses the y-axis of (0, 0).  This makes the y-intercept equal to 0.

The slope is the rise of the line over the run of the line.  Pick two points from the line.  It doesn't matter which ones, you will get the right answer regardless.  

I picked (0, 0) and (-3, 2).  Subtract the x-values from each other, and subtract the y-values from each other.

-3 - 0 = -3  (x)

2 - 0 = 2  (y)

Divide the y by the x to find the slope.

2/-3 = -2/3

Plug in the slope and y-intercept into the equation.

y = mx + b

y = -2/3x + 0

y = -2/3x

Someone please help me make an equation for the first question! :)

Answers

12y + 1x
part b:
22y + 6x

6x + 3y = 33
4x + y = 15

Answers

Here is the resolution

►Solve the problems.
I
The tile floor in a restaurant is being replaced. The dimensions of the floor are
shown. What is the total area of the new tile floor in the restaurant?
12 ft
17 ft
15 ft
20 ft
A 64 ft2
B 180 ft2
C 240 ft2
D 300 ft

Answers

Hello sorry to bother but I can’t ask questions till I answer a question SORRY IM DUMB

Puteti sa ma ajutati va rog? Vreau solutii cu explicatie elaborata, nu doar raspunsul. Multumesc.

Answers

I don’t speak Spanish but if you put the English trans in the comments I’d love to answer

Help pls, almost out of time ​

Answers

Answer:

angle 1

Step-by-step explanation:

it looks the biggest of all

The Point Imperial is the highest point of the Grand Canyon and it is 8,800
- feet tall. A professional hiker climbed to the top of one of the rims of the
Grand Canyon that is 348 feet below Point Imperial. The hiker threw a rock
upward from that rim with an initial velocity of 18 ft per second. How
many seconds will it take the rock to hit the ground? Round your answer
to the nearest tenth of a second.

Answers

Answer:

1222

Step-by-step explanation:

sorry youve been waiting a minute

As part of your retirement, you wish to generate $2,000 monthly payments for a 15-year period. The annual interest rate is 5%. What minimum amount is necessary to fund these payments?

Answers

Answer:

$962.0

Step-by-step explanation:

The formula for amount is ;

[tex]A=P(1+\frac{r}n} )^{nt}[/tex]

where

A= amount at the end of the period= $2000

P=minimum amount necessary to fund the payments

r= annual interest rate = 5% = 0.05

n= number of compounding per year , 1

t= time period = 15 years

Applying the values to the formula as;

[tex]2000=P(1+\frac{0.05}{1} )^{1*15} \\\\\\2000=P(1.05)^{15} \\\\\\2000/2.079=P\\\\\\962.0=P[/tex]

matching math game help!​

Answers

Answer:

dude your math period is way too long

Answer:

dude your math period is way too long

Number the answer like, in the blank type in the answer. Pls help ignore my answers unless correct
1. ____
2____
3______

Answers

Answer:

1.  32  2. You got that one correct 3.  1  5/34

Step-by-step explanation:

1. 24 / 3/4

3/4 = .75

24/ .75 = 32

3. Turn into improper fraction

13/4 / 17/6

= 1  5/34

Hope this helps dude

Right triangle PQR has sides of length 6 units, 8 units, and 10 units. The triangle is dilated by a scale factor of 4 about point Q. What is the area of triangle P’Q’R’?

Helpp plss

Answers

The area of the triangle P’Q’R’ is 384 square units

The formula for calculating the area of a triangle is expressed as:

A = 0.5bhb is the base of the triangleh is the height of the triangle.

If the right triangle PQR has sides of length 6 units, 8 units, and 10 units is dilated by a scale factor of 4 units, hence:

base = 4(6) = 24 unitsheight = 4(8) = 32 units

Area of the triangle P’Q’R’ = 0.5(24)(32)

Area of the triangle P’Q’R’ = 384 square units

Hence the area of the triangle P’Q’R’ is 384 square units

Learn more on area of triangles here: https://brainly.com/question/17335144

What is the perimeter of the parallelogram?

29 cm
80 cm
58 cm
32 cm 2

Answers

Answer:

199 [tex]cm^{2}[/tex]

Step-by-step explanation:

Answer:

58 CM

Step by Step explanation.

PLS AWNSER BEST AWNSER GET BRAINLIST.
I need a good grade on this final for my pc lol

Answers

Answer:

D

Step-by-step explanation:

Which side lengths form a right triangle?
Choose all answers that apply.
A. square root of 2, square root of 3, square root of 4
B. square root of 8, 3, square root of 17
C. 5, 6, 8

Answers

Answer: choice B

Explanation: Go through each answer choice and try the Pythagorean theorem to see if it works. This is because a right triangle’s side lengths are described by the Pythagorean theorem. one side^2 + second side^2 = longest side^2. In a right triangle, this equation will be true. Let me show you what I mean

For answer choice A:

(root 2)^2 + (root 3)^2 = (root 4)^2

2 + 3 = 4

5 = 4

5 does not equal 4. Therefore it cannot be A.

For answer choice B:

(root 8)^2 + (3)^2 = (root 17)^2

8 + 9 = 17

17 = 17

this is true! therefore this is a right triangle and it’s B

Dimensions √17, 3, and √8 are the dimension of the right triangle. Thus, the correct option is B.

What is a Pythagoras theorem?

If the dimension satisfies the Pythagorean equation, then the triangle is a right-angle triangle.

The Pythagoras theorem states that the sum of two squares equals the squared of the longest side. The Pythagoras theorem formula is given as,

H² = P² + B²

Let's check the second option, then we have

(√17)² = 3² + (√8)²

17 = 9 + 8

17 = 17

Thus, the correct option is B.

More about the Pythagoras theorem link is given below.

https://brainly.com/question/343682

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