Find angle picture below!

Find Angle Picture Below!

Answers

Answer 1

Answer:

Angle T = 62°; Angle U = 43°; Angle V = 75°

Step-by-step explanation:

First, find x. We know that the interior angles of a triangle will always add up to 180°.

180° = (5x +2)° + (6x + 3)° + (2x + 19)° –––Combine like terms

180° = 13x + 24 –––Subtract 24 from both sides

156° = 13x ––– Divide both sides by 13 to get x alone

12° = x

Now that we know what x is, we can substitute it in the expressions for the angles.

Angle T:

5x +2

5(12) + 2

60 +2

62°

Angle U:

2x + 19

2(12) + 19

24 + 19

43°

Angle V:

6x + 3

6(12) + 3

72 + 3

75°

Check:

They must equal 180° when added together:

75° + 62° + 43° = 180°

75° + 105° = 180°

180° = 180°


Related Questions

You have 5 cups of fruit punch concentrate. The recipe calls for 3/4 cup of concentrate for one bowl of punch. how many bowls can you make?​

Answers

You can make 6 bowls of punch.

Jack knows that one-third of his total trip is 640 miles. How far is Jack's total trip?

Answers


If one-third of his total trip is 640

You would multiply 640 by 3 to find out how far his total trip is.

640 x 3 = 1,920

Find the measure ZBCD in the
following parallelogram.

Answers

Answer:

I think the answer is 2

x=1

Step-by-step explanation:

2x=2x

divide

x=1

plug it in

1×2

How to you multiply 1/10 X 1.4?

Answers

Answer:

a. 1 ÷ 10 = 0.1

b. 0.1 x 1.4 = 0.14

It takes Naomi 4 minutes to run 5 laps. How long does it take her to run 30 laps? Use a table, double number line, tape diagram or another strategy to show your thinking.

(PLEASE ANSWER ITS DUE IN 20 MINUTES!)​

Answers

Answer:  24 ???

Step-by-step explanation:

4 mins to run 5 ... so im guessing it goes by 5

5 = 4

10 = 8

15 = 12

20 = 16

25 = 20

30 = 24

I am not sure if its right but that what i think ( you can use a table btw one colom that says laps and starts with 5 then the other colom that says mins and starts with 4

Hope its right Good Luck have a good rest of your day

The students at your school are taking a field trip to a science museum 154 miles away. If the school bus traveled 154 miles in 1.9 hours, what would be the speed of the school bus?

Answers

Answer.

The school but would have been driving at about 81 miles per hour.

Fun note.

The bus driver would have gotten a speeding ticket on almost all national highways in America if they were going at that speed.

Simplify this equation 3m + 4 = -5

Answers

The solution to this is m=-3

Select all ratios equivalent to 4:3.

Answers

Answer:

8:6 and 16:12

Step-by-step explanation:

A school bus can hold up to 60 gallons of fuel. Which inequality shows this, using g for the amount of fuel the bus can hold?

Answers

Answer:

the answer is .............a

Step-by-step explanation:

please help meeeeeeeeeeeeeeeeeeeeee

Answers

Answer:

C and G

Step-by-step explanation:

not completely sure if this is correct but i think so lol

so 10% of 200 is 20 because 200*.10=20 , so your first payment would be 20 dollars.

your second payment is 25% of 200 which is 50 because 200*.25=50

adding those two payments together you get 70 dollars , meaning that you need 130 more dollars.

65% of 200 is 130 dollars , so I believe that C and G would be your correct answers

A local ice cream store wanted to see if there was a linear relationship between average temperature on any given day and their ice cream sales. After recording sales and temperatures for 15 randomly selected days they calculated b1 to be equal to 1.24 and a standard error of b1 to be equal to 2.59. Using the appropriate equation, calculate the test statistic is to test if there is a linear relationship between these two variables. Round to two decimal places as necessary. 0.48.

Answers

Answer:

the test statistic is  0.48

Step-by-step explanation:

Given that;

sample size n = 15

slope of regression b1 = 1.24

Standard of error SE = 2.59

now,

The hypothesis;

Null hypothesis H₀ : B1 = 0

Alternative hypothesis H₁ : B1 ≠ 0

If there is significant relation between variable x and dependent variable y, the slope will not be equal to zero.

Test Statistic

t = b1 / S.E

we substitute

t = 1.24 / 2.59

t = 0.4787 ≈ 0.48

the test statistic is  0.48

solve the system of equations by using substitution
y=2x-2
2x+y=10​

Answers

2x+1(2x-2)=10
2x+2x-2=10
4x-2=10
+2 +2
4x=8
x=2
y=2(2)-2
Y=2

PLZ HELP ASAP
What is the length of MN? Round your answer to the tenths.

Answers

Answer:

Can you put the picture of the triangle up

Step-by-step explanation:

I'll change my answer then

DON'T REPORT ME

Answer:

i need a picture to awnser your question

Step-by-step explanation:


Someone help me with this.

Answers

Answer:

2x² + 13x + 15

Step-by-step explanation:

| 2x | 3

x | 2x*x = 2x² | 3*x = 3x

5 | 2x*5 = 10x | 3*5 = 15

We have, 2x² + 3x + 10x + 15

Combining like terms, we would have the final expression as:

2x² + 13x + 15

Which of the following combinations of side lengths will form a triangle with vertices X, Y, and Z?
A. XY = 19 mm, YZ = 11 mm, XZ = 29 mm
В. XY = 19 mm, YZ = 11 mm, XZ = 31 mm
C. XY = 19 mm, YZ = 10 mm, XZ = 30 mm
D. XY = 20 mm, YZ = 11 mm, XZ = 32 mm

Answers

It should be C I’m not 100% shor tho


10. If possible, determine whether or not triangles LQP and LMN
are similar. Give a detailed explanation for your answer.
PLEASE HELP!!

Answers

Answer:

They are similar

Step-by-step explanation:

If two triangles are similar, the ratio of their corresponding side lengths must be equal to each other.

This means that for ∆LQP and ∆LMN to be considered similar to each other, therefore:

LM/LQ = LN/LP

LM = 100

LQ = 12

LN = 75

LP = 9

LM/LQ = 100/12 = 25/3

LN/LP = 75/9 = 25/3

LM/LQ = LN/LP = 25/3, therefore ∆LQP and ∆LMN are similar to each other because the ratio of their corresponding side lengths are the same.

find the value of x and y

Answers

Answer:

x=  9     y=5

Step-by-step explanation:

hello :

use phtagor-rul :

y² = 3²+4²

y² =25

so : y=5

same method :

15²=12²+x²

x² =15²-12²

x² =225-144

x² = 81

so : x= 9

Solve for AC and AB. 10 points.

Answers

Answer:

AC = 7.29 in

AB = 11.58 in

Step-by-step explanation:

tan 51 = 9/AC

1.2349 = 9/AC

AC = 7.29 in

sin 51 = 9/AB

0.7771 = 9/AB

AB = 11.58 in


Hunter took a test With 28 questions. If he answered of 2/7 of the questions correctly, how many did he
get wrong?

Answers

Answer:20

Step-by-step explanation: If you have a calculator its easy

Answer:

28.5% or you can divide to get your answer

Step-by-step explanation:

so first all you have to do is figure out what 2/7 Is, 2/7= 28.5%

Simplify completely and find the restrictions on the variable.​

Answers

Answer:

[tex]\displaystyle \frac{x + 2}{x + 9}, \ x \neq -9, \ 12[/tex]

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

BracketsParenthesisExponentsMultiplicationDivisionAdditionSubtractionLeft to Right

Algebra I

Terms/CoefficientsFactoring

Algebra II

DiscontinuitiesDomain Restrictions

Step-by-step explanation:

Step 1: Define

[tex]\displaystyle \frac{x^2 - 10x - 24}{x^2 - 3x - 108}[/tex]

Step 2: Simplify

[Fraction] Factor numerator:                                                                           [tex]\displaystyle \frac{(x - 12)(x + 2)}{x^2 - 3x - 108}[/tex][Fraction] Factor denominator:                                                                       [tex]\displaystyle \frac{(x - 12)(x + 2)}{(x - 12)(x + 9)}[/tex][Fraction] Divide:                                                                                              [tex]\displaystyle \frac{x + 2}{x + 9}[/tex]

We know that x cannot equal -9 because we would get a divide by 0 (undefined) error. We also know that x cannot equal 12 because it was canceled out when simplifying.

At Nolan's Car Rentals, customers will pay $60 to rent a mid-sized car for the first day, plus $5 for each additional day. At Westford Rent-a-Car, the price for a mid-sized car is $50 for the first day and $10 for every additional day beyond that. Find the solution to the system.

Answers

Answer:

2, 70

Step-by-step explanation:

It is given that :

At Nolan's Car rentals, if a customer rents a car, he or she has to pay $60 for the car for the first day and more $ 5 for every additional days.

Therefore this gives the equation :

y = 5x +60 ..........(1)

At Westford car rental, the price of the car for first day is $ 50 and additional $10 for every additional day.

So the equation will be :

y = 10x + 50.......(2)

Solving (1) and (2), we get

 5x + 60 = 10x + 50

⇒ 60 - 50 = 10x - 5x

⇒ 10 =  5x

∴ x = 2

Now putting the value of x = 2 in equation (1), we get

y = 5x +60

y = 5(2) +60

y = 70

Therefore, (x, y) = (2, 70)

What is the mode of the data set (30,28,30,45,40,37,35)? Level 1-2
28

30

45

37
help helpppp

Answers

The answer is 30
Hope this helps

Please help ASAP. Thanks so much

Answers

Answer:

A

Step-by-step explanation:

Easy method for this question is to plug the point (-1,7)

Plug -1 as x and hope we can get 7

[tex]y =-2(-1+1)^{2}+7\\y=7\\[/tex]

so your answer is going to be A



explanation : your vertex is the 2 last numbers, and the reason the 1 is negative is because the h always flips

so if it was positive, it would flip to a negative number instead

Twice the sum of a number and 7 is equal to three times the difference of the number and 8. Find the number.

Answers

Answer:

the number is 10.

Step-by-step explanation:

2(x + 7) = 3(x - 8)

2x + 14 = 3x - 24

2x = 3x -10

x = 10

For married couples living in a certain suburb, the probability that the husband will vote on a bond referendum is 0.21, the probability that the wife will vote on the referendum is 0.28, and the probability that both the husband and the wife will vote is0.15.
A) What is the probability that at least one member of a married couple will vote?
B) What is the probability that a wife will vote, given that her husband will vote?
C) What is the probability that a husband will vote, given that his wife does not vote?

Answers

Answer:

a) 0.34 = 35% probability that at least one member of a married couple will vote.

b) 0.7143 = 71.43% probability that a wife will vote

c) 0.0968 = 9.68% probability that a husband will vote

Step-by-step explanation:

Conditional Probability

We use the conditional probability formula to solve this question. It is

[tex]P(B|A) = \frac{P(A \cap B)}{P(A)}[/tex]

In which

P(B|A) is the probability of event B happening, given that A happened.

[tex]P(A \cap B)[/tex] is the probability of both A and B happening.

P(A) is the probability of A happening.

This is used for itens B and C. For item a, we treat the probabilities as Venn sets.

A) What is the probability that at least one member of a married couple will vote?

I am going to say that:

Event A: Husband votes.

Event B: Wife votes.

The probability that the husband will vote on a bond referendum is 0.21

This means that [tex]P(A) = 0.21[/tex]

The probability that the wife will vote on the referendum is 0.28

This means that [tex]P(B) = 0.28[/tex]

The probability that both the husband and the wife will vote is 0.15.

This means that [tex]P(A \cap B) = 0.15[/tex]

At least one votes:

This is [tex]P(A \cup B)[/tex], which is given by:

[tex]P(A \cup B) = P(A) + P(B) - P(A \cap B)[/tex]

So

[tex]P(A \cup B) = 0.21 + 0.28 - 0.15[/tex]

[tex]P(A \cup B) = 0.34[/tex]

0.34 = 35% probability that at least one member of a married couple will vote.

B) What is the probability that a wife will vote, given that her husband will vote?

Here, we use conditional probability:

Event A: Husband votes:

Event B: Wife votes

The probability that the husband will vote on a bond referendum is 0.21

This means that [tex]P(A) = 0.21[/tex]

Intersection of events A and B:

Intersection between husband voting and wife voting is both voting, which means that [tex]P(A \cap B) = 0.15[/tex]

The desired probability is:

[tex]P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{0.15}{0.21} = 0.7143[/tex]

0.7143 = 71.43% probability that a wife will vote.

C) What is the probability that a husband will vote, given that his wife does not vote?

Event A: Wife does not vote.

Event B: Husband votes.

The probability that the wife will vote on the referendum is 0.28

So 1 - 0.28 = 0.62 probability that she does not vote, which means that [tex]P(A) = 0.62[/tex]

Probability of husband voting and wife not voting:

0.21 probability husband votes, 0.15 probability wife votes, so 0.21 - 0.15 = 0.06 probability husband votes and wife does not, so [tex]P(A \cap B) = 0.06[/tex]

The desired probability is:

[tex]P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{0.06}{0.62} = 0.0968[/tex]

0.0968 = 9.68% probability that a husband will vote

PLEASE HELPPPP 10 points for its!!!!!!!!!!

Answers

Answer:

area of the square = (SIDE)2

=( 4)^2

= 16 answer

Factor the common factor out of each expression 64p - 24

Answers

Answer: 8(8p-3)

Step-by-step explanation:

64p and 24 are both divisible by 8

64p/8 = 8p

24/8 = 3

8(8p) - 8(3)

Distributive property

8(8p-3)

Find the quotient of: (-20xyz) (5zy)​

Answers

Answer:

the answer would be -4x

Step-by-step explanation:

dividing (-20xyz) by (5zy) = 3

will give brainliest !!!

Answers

Answer:

B. E' ( -1, 1)

Step-by-step explanation:

5 to the left =

4 - 5

2 up =

-1 + 2

good luck, i hope this helps :)

help pls

Find the volume of the composite solid.

Answers

Answer:

80cm3

Step-by-step explanation:

volume of the composite solid=volume of the

pyramid+

volume of the

cuboid

volume of the pyramid=1/3* base area*height

=1/3*5*4*6

=40cm3

volume of the cuboid=base area *height

=5*4*2

=40cm3

volume of the composite solid=40cm3+40cm3

=80cm3

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