Can someone explain how to work this out please ?

Answer:

The smallest angle is the angle shown by 3x - 17 which ends up being 49°.

Step-by-step explanation:

The angles of a triangle add up to 180 degrees. We can write an equation and solve for x.

75 + (2x + 12) + (3x - 17) = 180

~Combine like terms

70 + 5x = 180

~Subtract 70 to both sides

5x = 110

~Divide 5 to both sides

x = 22

Using what we found for x, solve for the missing angles.

2x + 12

2(22) + 12

44 + 12

66

3x - 17

3(22) - 17

66 - 17

49

Best of Luck!

Answer:

$160

Step-by-step explanation:

Step one:

given data

Principal = $2000

rate= 8%

time t= 1 year

Required

The Simple interest paid after 1 year

Step two:

Simple interest = PRT/100

Simple interest = 2000*8*1/100

Simple interest = 16000/100

Simple interest =$160

The simple interest paid after 1 year is $160

Answer:

44

Step-by-step explanation:

8/10 = 0.8

Therefore, 0.8 (8/10) is put on the number line shown below.

Answer:

On each team there is the same number of teammates, the answer is D. 8 (9 + 5).

Step-by-step explanation:

If you add up the amount of teammates then multiply that by the number of teams.

Therefore, D. 8 (9 + 5) is the answer.

Answer:

4 ways i think

Step-by-step explanation:

Hope this helps!

Answer:

its 20

Step-by-step explanation:

hope this helps

Answer:

#1 is 80% #2 is 95% #3 is 33⅓% #4 is 15%

Step-by-step explanation:

divide the smaller # by the bigger number, giving you a decimal. move the decimal 2 times to the right and that is your percentage.

Answer:

It’s 32

Step-by-step explanation:

Answer:

The smallest order of fractions in that order would be,

Step-by-step explanation:

1/6, 1/3, 1/2

because the bigger the denominater, the larger the whole is, and in 1/2, it would be equivalent to half, but 1/6 would be smaller. Let's say if it were 3/6, it would be equivalent to 1/2 because its half right? so thats another way you can tell how one fraction is smaller than another.

1/6,1/3,1/2 is the  list of fractions is in order from smallest to largest.

A fraction represents a part of a whole.

The given three fractions are 1/6, 1/3 and 1/2.

We need to order them smallest to largest.

Let us make the denominator same for all the three fractions to compare which is larger and smaller.

1/6×2/2=2/12

1/3×4/4=4/12

1/2×6/6=6/12

So 1/6 is smaller, 1/2 is bigger.

We know Arranging numbers in increasing order, that is, from smallest to largest is known as ascending order.

by using ascending order we can order the fractions like 1/6,1/3,1/2.

Hence, 1/6,1/3,1/2 is the  list of fractions is in order from smallest to largest.

To learn more on Fractions click:

https://brainly.com/question/10354322

#SPJ2

Answer: The predicted number of penalty kicks = 12

Step-by-step explanation:

Given : The experimental probability of her making a penalty kick in soccer is 3/10 or 30%.

So, the proportion of penalty kicks she make = 0.3

Out of 40 penalty kicks, the predicted number of penalty kicks = 0.3 x 40

= 12

Hence, the predicted number of penalty kicks = 12

Answer:

The Miami Dolphins had 3 touchdowns and 3 field goals.

Step-by-step explanation:

It is given that During their last game, the Miami Dolphins scored 6 times, for a total score of 30 points. They scored 7 points for each touchdown and 3 points for each field goal.

We need to write and solve the system of equations to find the total touchdowns and field goals scored.

Let x represents the number of touchdowns.

Let y be the number of field goals.

It is given that the Miami Dolphins scored 6 times

[tex]x+y=6[/tex]

[tex]x=6-y[/tex]....(1)

They scored 7 points for each touchdown and 3 points for each field goal.

The total score is 30 points:

[tex]7x+3y=30[/tex] ...(2)

Put the value of x from equation (1) into equation (2).

[tex]7( 6-y)+3y=30[/tex]

[tex]42-7y+3y=30[/tex]

[tex]-4y=30-42[/tex]

[tex]-4y=-12[/tex]

[tex]y=3[/tex]

Put y = 3 in equation 1.

[tex]x=6-3[/tex]

[tex]x=3[/tex]

Hence, the Miami Dolphins had 3 touchdowns and 3 field goals.

Answer:

20cm squared

Step-by-step explanation:

so the scale factor is 1:2 so you just double the area so,

10cm squared x 2 = 20cm squared

Answer:

D: 40

Step-by-step explanation:

If the scale factor is 1:2 it means that each side is twice as big after being scaled. However, because the area is width * height that means that the area of the scaled one gets doubled two times, so is actually 4x bigger. This means the answer is 4 * 10 = 40 square cm

Answer:

2.68 × [tex]10^{26}[/tex] Km³

Step-by-step explanation:

Using the given formula for volume V, then

V = [tex]\frac{4}{3}[/tex] π × (4 × [tex]10^{8}[/tex] )³

  = [tex]\frac{4}{3}[/tex] π × 4³ × ([tex]10^{8}[/tex] )³

 = [tex]\frac{4}{3}[/tex] π × 64 × [tex]10^{24}[/tex]

 = 268 × [tex]10^{24}[/tex]

 = 2.68 × 10² × [tex]10^{24}[/tex]

 = 2.68 × [tex]10^{26}[/tex] Km³

Answer:

The image shows the points on a coordinate axis.

Step-by-step explanation:

The first point is [tex](-3,4)[/tex].

This means that the point on the [tex]x[/tex] axis is [tex]-3[/tex] and [tex]y[/tex] axis is [tex]4[/tex]. The point is in the second quadrant.

The second point is [tex](4,4)[/tex].

This means that the point on the [tex]x[/tex] axis is [tex]4[/tex] and [tex]y[/tex] axis is [tex]4[/tex]. The point is in the first quadrant.

The image shows the points on a coordinate axis.

Answer:

7 UNITS

Step-by-step explanation:

YW :D

Answer:2+n

Step-by-step explanation:

1. distribute parentheses

=-(-2)-(-n)

2.apply minus-plus rules

=2+n

Answer:

m=6

X1=4

Y1= -5

Y-Y1=m(X-X1)

Y-(-5)=6(X-4)

Y+5=6X-24

Y=6X-24-5

Y=6X-29

Answer:

3 miles per hour.

Step-by-step explanation:

To get his walking rate in miles per hour, we multiply 1/5 by its reciprocal, 5/1. We also multiply 6/10 by 5/1. This gets us 30/10 of a mile in an hour. We can simplify 30/10 to 3. This means he walks at 3 miles per hour.

Answer:

300

Step-by-step explanation:

100% of 150 is literally 150, add those together and you get 300.

Answer:

the answer is $300

Step-by-step explanation: when increasing by 100% it is the same as multiplying by 2

Answer:

it started off with 7 members

(read the whole explanation)

Step-by-step explanation:

Question: the chess club accepts 5 new members each week and it had 37 members after 6 weeks ? how many members per week and how many members did it start off with.

If the chess club accepts 5 each week and they had 6 members after 6 weeks you should multiply 5x6=30. We don't know when the chess club started.. it could be 6 or 7 weeks ago and I'm pretty sure we all know that 7x5=35. but it only says 6 weeks ago so the answer is 7,

hope this helps!!!!

Answer:

16/4 = 4

4 * 8 = 32

32 grams in a 16 ounce serving

Answer:

32 grams of protein

Step-by-step explanation:

We know that 8 is double of 4, which means that if you have 16 ounces you are going to multiply by 2 to double it, which gives you 32.

Answer: it's just a black screan

Step-by-step explanation:

Answer:

5.8

Step-by-step explanation:

5+8(3+x)=

5+24+5x

29+5x=

5x= Negative 29

divide 29 by 5

Answer:

Blank space= 1.96

Answer:

3,000 women

Step-by-step explanation:

6  :  5        

m    w

so if 6 represents men and 5 represents women, then

3,600/6=600

so

5x600=3,000

so your answer would be 3,000

Answer:

12+6.5x

Step-by-step explanation:

Hope this helps!! if you in step by step ill comment it in the comments!!