For the diagram below let m∠1 = (7x + 5)°, m∠2 = (9x − 8)°, and m∠3 = (11x − 15)°. A triangle with exterior angles 1, 2, 3. Complete the work shown to find the m∠3. Set the sum of the exterior angles to 360° and solve for x. 7x + 5 + 9x − 8 + 11x − 15 = 360 27x − 18 = 360 27x = 378 x = 14 Substitute the value of x into the expression that represents mAngle3. mAngle3 = 11(14) – 15 mAngle3 = °

Answers

Answer 1

Answer:

139

Step-by-step explanation:

Answer 2

Answer:

I put 139 and got it right!

Step-by-step explanation:

hope this helps :)


Related Questions

Pleaseeee helppp !!!!!!!! Will mark Brianliest !!!!!!!!!!!!!!!!!!

Answers

Since triangle STU and TVW are similar angle VWT and SUW are equal, this means:
106-5x=7x-14
(106)+(14)=(7x)+(5x)
120=(12x)
10=(x)
Angle VWT=106-5x=106-(5)(10)=56

So tell me yáll real name

mines is Shakira

Answers

Answer:

My name is Melanie

Step-by-step explanation:

Answer:

Mine is Aday but pretty much everybody calls me Aya

Step-by-step explanation:

Help..................​

Answers

Answer:

The answer is A

Step-by-step explanation:

There are opposite angles

12
13
15
D
The length of side CD =
The length of side BC =
The length of side BD =

Answers

I need more information to answer this question.

Let me ask this question again

Answers

Answer:

A

Step-by-step explanation:

Substitution with X= 9 and you receive that only 9 works in both equation

Mrs. Garcia's math test is worth 50 points. If you answer all the questions and the extra credit correctly, you can score 55 points. How do you represent this situation as a fraction, a decimal, and a percent?

Answers

Answer:

Divide the percentage by 100 to get a decimal number. Use that number as the numerator (top) of a fraction. Put a 1 in the denominator (bottom) of the fraction. Convert the decimal to a whole number: Count how many places are to the right of the decimal.

A housewife deposited Rs 10,000 on saving account at 5% p.a. interest compounded
yearly and another sum on fixed deposit account at 8% p.a. interest compounded
half yearly. After one year the interest on fixed deposit account
was Rs 152.80 more
than the interest on the saving account, find the total amount of money in her two
accounts at the end of the year.​

Answers

Answer:

Rs. 3923.08

Step-by-step explanation:

First principal invested = Rs. 10000

Interest rate = 5%

The interest is compounded yearly.

Time = 1 year

1 year compound interest is equal to simple interest.

Formula for simple interest:

[tex]SI = \dfrac{PRT}{100}[/tex]

Interest on first sum = [tex]\frac{10000\times 5\times 1}{100} = Rs\ 500[/tex]

Another sum is on fixed deposit 8% compounded half yearly.

Let the sum = Rs [tex]x[/tex]

Formula for compound interest is given as:

[tex]CI = P(1+\frac{R}{100})^T - P[/tex]

It is compounded half - yearly, therefore T = 2

[tex]CI = x (1+\frac{8}{100})^2 - x\\\Rightarrow CI = x(1.08)^2-x = 0.1664x[/tex]

As per question statement:

[tex]0.1664x - 500 = 152.80\\\Rightarrow x = \dfrac{652.80}{0.1664} = Rs\ 3823.08[/tex]

A student uses 1/2 quart of paint in 3/4 hour. What is her usage rate in quarts per hour?

ASWER CHOICES

38 quart per hour

23 quart per hour

34 quart per hour

32 quarts per hour

Answers

Answer:

1 1/2 quarts per hour

Step-by-step explanation:

To do this you would divide 3/4 by 1/2 to do divide you flip 1/2 to 2/1 then multiply.

3/4*2/1=6/4 which is also equal to 1.5 quarts of paint per hour.

can someone help me. ​

Answers

Answer:

D

Step-by-step explanation:

A box of granola weighs 24 ounces and a box of bran flacks weighs 6/8 as much as the ronal A box of Corn Pops weighs 1 1/8 as much as the ronal what is the least number of ounces found in either box or ronal bran flakes or Corn Pops

Answers

Answer:

54 ounces

Step-by-step explanation:

A box of granola weighs 24 ounces and a box of bran flacks weighs 6/8 as much as the ronal

The number of ounces of the bran flakes = 6/8 of the box of the granola

= 6/8 × 24 ounces

= 18 ounces

A box of Corn Pops weighs 1 1/8 as much as the granola

Hence, the number of ounces of the box of corn pops =

1 1/8 of the granola box

= 9/8 × 24 ounces

= 27 ounces

The least number of ounces found in either box or ronal bran flakes or Corn Pops is calculated as:

We solve using LCM Method

Multiples of 18:

18, 36, 54, 72, 90

Multiples of 27:

27, 54, 81, 108

Therefore,

LCM(18, 27) = 54

The least number of ounces found in either box or ronal bran flakes or Corn Pops is 54 ounces

A right rectangular prism has a length of 3 1/3 a width of 2 1/2 and a height of 4 1/3 yards. What is the total volume

Answers

Answer:

The answer is 30 V=whl=3·2·5=30

Step-by-step explanation:

algbra two, i need help asap please

Answers

Answer:

(a) The zeroes of f(x) are rational numbers

(b) The smallest integer value of a is 3

Step-by-step explanation:

In the quadratic function f(x) = ax² + bx + c, we can know the number and the types of its roots using the discriminant  Δ, where Δ = b² - 4ac

If Δ > 0, then the zeroes are two different real numbersIf Δ = 0, then the zeroes are the same real numberIf Δ < 0, then the zeroes are imaginary numbers

Note: In the first case if Δ is a perfect square number then the zeroes are rational, if not then the zeroes are irrational

(a)

∵ The equation function is f(x) = ax² + 11x + 12

∵ a = 2

a = 2, b = 11 and c = 12

→ Substitute them in the rule of Δ

∵ Δ = (11)² - 4(2)(12) = 121 - 96

Δ = 25

∵ Δ > 0

∴ f(x) has two different real zeroes

25 is a perfect square number

→ That means the zeroes of the function are rational numbers

The zeroes of f(x) are rational numbers

(b)

∵ f(x) ha imaginary zeroes

→ By using the third rule above

Δ < 0

∵ a = a, b = 11 and c = 12

→ Substitute them in the rule of Δ

(11)² - 4(a)(12) < 0

∴ 121 - 48a < 0

→ Add 48a to both sides

∵ 121 - 48a + 48a < 0 + 48a

∴ 121 < 48a

→ Divide both sides by 48

∴ 2.52083 < a

a > 2.52083

∵ The smallest integer greater than 2.52083 is 3

The smallest integer value of a is 3

Here it is, please help me!!!!

Answers

Answer:

463mi

Step-by-step explanation:

Please can anyone help me?

Answers

i’m pretty sure the answer would be 1) linear :D

Answer:

2 is the correct answer

On a coordinate plane, triangles P Q R and S T U are shown. Triangle P Q R has points (4, 4), (negative 2, 0), (negative 2, 4). Triangle S T U has points (2, negative 4), (negative 1, negative 2), (negative 1, negative 4). Complete the statements to verify that the triangles are similar. StartFraction Q R Over T U EndFraction = StartFraction P R Over S U EndFraction = StartFraction P Q Over S T EndFraction = StartFraction StartRoot 52 EndRoot Over StartRoot 13 EndRoot EndFraction = Therefore, △PQR ~ △STU by the theorem.

Answers

Answer:

The answer is below

Step-by-step explanation:

Two triangles are said to be similar if their corresponding angles are equal and the corresponding sides are in proportion.

The distance between two points on the coordinate plane is given as:

[tex]Distance=\sqrt{(x_2-x_1}^2+(y_2-y_1)^2 \\\\Therefore\ in\ triangle\ PQR:\\\\|QR|=\sqrt{(-2-(-2))^2+(4-0)^2}=4\\\\|PQ|=\sqrt{(-2-4)^2+(0-4)^2}=\sqrt{52}=2\sqrt{13} \\\\|PR|=\sqrt{(-2-4)^2+(4-4)^2}=6[/tex]

In triangle STU:

[tex]|ST|=\sqrt{(-1-2)^2+(-2-(-4))^2}=\sqrt{13}\\\\|SU|=\sqrt{(-1-2)^2+(-4-(-4))^2} =3\\\\|TU|=\sqrt{(-1-(-1))^2+(-4-(-2))^2}=2[/tex]

|QR| / |TU| = 4/2 = 2

|PR| / |SU| = 6/3 = 2

|PQ| / |ST| = 2√13 / √13 = 2

Hence:

|QR| / |TU| = |PR| / |SU| = |PQ| / |ST|

Therefore, △PQR and △STU are similar triangles since the ratio of their sides are in the same proportion.

Similar triangles may or may not be congruent

Triangles PQR and STU are similar by SSS theorem.

The vertices of triangle PQR are given as:

[tex]P= (4, 4)[/tex]

[tex]Q= (-2, 0)[/tex]

[tex]R = (-2, 4)[/tex]

The vertices of triangle STU are given as:

[tex]S = (2, -4)[/tex]

[tex]T = (-1, -2)[/tex]

[tex]U =(-1, -4)[/tex]

Start by calculating the side lengths of the two triangles, using the following distance formula

[tex]d = \sqrt{(x_2 -x_1)^2 + (y_2 -y_1)^2}[/tex]

For triangle PQR, we have:

[tex]PQ = \sqrt{(4 --2)^2 + (4 -0)^2} = \sqrt{52}[/tex]

[tex]PR = \sqrt{(4 --2)^2 + (4 -4)^2} = 6[/tex]

[tex]QR = \sqrt{(-2 --2)^2 + (0 -4)^2} = 4[/tex]

For triangle STU, we have:

[tex]ST= \sqrt{(2 --1)^2 + (-4 --2)^2} = \sqrt{13}[/tex]

[tex]SU= \sqrt{(2 --1)^2 + (-4 --4)^2} = 3[/tex]

[tex]TU= \sqrt{(-1 --1)^2 + (-2 --4)^2} = 2[/tex]

Check if the side lengths of both triangles are similar, by dividing corresponding sides

[tex]k = \frac{PQ}{ST} = \frac{\sqrt{52}}{\sqrt{13}} = 2[/tex]

[tex]k = \frac{PR}{SU} = \frac{6}{3} = 2[/tex]

[tex]k = \frac{QR}{TU} = \frac{4}{2} = 2[/tex]

Because the scale factors of the side lengths are the same, then both triangles are similar by SSS theorem.

Read more about similar triangles at:

https://brainly.com/question/8691470

15 POINTS EACH WILL GIVE THANKS IF ITS CORRECT
PLEASE ANSWER FAST SINCE THIS WAS DUE LAST FRIDAY!
Select all of the following that are quadratic equations.

1. x2 + 3 x -5 = 0
2. x2 - x = 3 x + 7
3. 5 x - 7 = 0
4. 7 x2 + 14 x = 0
5. x3 - 3 x2 + 1 = 0
6. x - 5 = 9 x + 7

Answers

Step-by-step explanation:

The following are quadratic equations:

x² + 3x - 5 = 0,

x² - x = 3x + 7,

7x² + 14x = 0.

Today, Bill is driving to Baltimore, MD. He has 18 gallons of gas in his tank. His tank uses 2 gallons of gas every hour he drives. How many hours can Bill drive with a 18 gallons of gas in his tank?

Answers

Answer:

9

Step-by-step explanation:

18/2=9

Write the coordinates of point l' after the following translation:
4) translation: 4 units right and 2 units down
+y
1
H
X

Answers

Answer:

can you state what point I is?

The area of a metal frame being built by a construction company can be represented by the function A(w)=4w2+34w , where represents the width in meters of the frame. What is the area of the frame in square meters when the width equals 1 meter?

Answers

Answer:

38 square meters

Step-by-step explanation:

Given:

A(w)=4w²+34w

The function represent the area of a metal frame being built by a construction company

What is the area of the frame in square meters when the width equals 1 meter?

Find A(w) when w = 1 meter

A(w)=4w²+34w

A(1) = 4(1)² + 34(1)

= 4 + 34

= 38 square meters

A(1) = 38 square meters

I need help for all three! Thank you!

Answers

Answer:

3a. 0.415

b. 18.75

Step-by-step explanation:

3a. 2.49/6

=0.415

b. 150/8

=18.75

what is the answer of
6 2/5 - 1 4/5 =

Answers

The answer is 4 3/5! Hope this helps!

Lola's hockey team lost 15% of
their games this season. If they
lost 3 games, how many games
did they play in total?
(show your work)

Answers

Answer:

[tex]20[/tex]

Step-by-step explanation:

Let [tex]x[/tex] = games played in total

From the fact that [tex]15\%[/tex] of the games the team played is equivalent to [tex]3[/tex] games, we can write:

[tex]15\%x = 3[/tex]

[tex]x=3\div 15\%[/tex]

[tex]=20[/tex]

∴ Lola's hockey team played a total of 20 games.

Hope this helps :)

Please help here’s 20 points

Answers

1, 2, and 5 are true.
There aren’t 20 points it’s actually 8

CAN ANYONE HELP ME THAT IS GOOD IN MATH

Answers

OK soto find percentages or portions of a number you need to do this equation %/100 * x/#. Meaning that for example number one it would be 23/100 * x/52. And the process is to multiply the numbers opposite of each other and divide by 100. Which would give you 11.96. For instances like number two you would have to put the numbers depending on what they are for example 12/42 * x/100
Tell me if any of this makes sense and I can give you more explanation if you need help

Which of the following is NOT a part of a DNA molecule?

Question 3 options:

A.Nitrogen base


B.Phosphate group


C.5 Carbon sugar


D.Amino acid. Will give brainliest

Answers

Amino acids

Step-by-step explanation:

In a DNA molecule Your going to find what's called, Nucleotides, Nucleotides contain phosphate group, a sugar group, and a nitrogen base.

Help me solve this problem please

Answers

Answer:

The second one .......

A parachutist's elevation changes by - 90 ft in 10 seconds. What is the change in the parachutist's elevation each second?

Answers

Answer:

-9 feet per second

Step-by-step explanation:

help plz, I don't know how to find the answer

Answers

9514 1404 393

Answer:

  25

Step-by-step explanation:

As always, you identify the possible relationships between the given values. Make use of those to find the unknown. Then use that value as required to answer the question(s) posed.

The triangle is isosceles, so AB = AC.

  AB = AC

  4x +1 = 2x +23

  2x = 22 . . . . . . . . . subtract (2x+1)

  x = 11

With this value of x, we can find BC.

  BC = 3x -8

  BC = 3×11 -8

  BC = 25 . . . . units

(a+2b)² ?????????????????????

Answers

Answer:

a² + 4ab + 4b²

Step-by-step explanation:

Given

(a + 2b)²

= (a + 2b)(a + 2b)

Each term in the second factor is multiplied by each term in the first factor, that is

a(a + 2b) + 2b(a + 2b) ← distribute both parenthesis

= a² + 2ab + 2ab + 4b² ← collect like terms

= a² + 4ab + 4b²

3/5(x+2)=x- 4 answer

Answers

Answer:

X=13

Step-by-step explanation:

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