Find the length of each missing side and each missing angle in the isosceles triangle below.

Answer:

-24

Step-by-step explanation:

Answer:

28°

Step-by-step explanation:

Subtract 152° from 180° becuase a straight line angle is 180°

This leaves you with 180-152 = 28

Answer:

28°

Step-by-step explanation:

A straight angle created by JNM and MNP add up to 180. We know that one of them is 152 so 180-152 to find the remaining angle

Answer:

Step-by-step explanation:

5 and 4 mutually prime numbers, therefore we need to find their LCM.

Next time they will both exercise on the 20th days, which is January 20

Answer:

15 years

Step-by-step explanation:

Write as an algebraic equation-

D+5=M

4D+3=3M-2

substitute

4D+3=3D+15-2

4D+3=3D+13

subtract 3 and 3D

D=10

Plug in D

10+5=M

M=15

Proof:

In [tex]\triangle MNP[/tex] and [tex]\triangle OPN[/tex]:

[tex]MN = OP[/tex] (given)

[tex]MP = ON[/tex] (given)

[tex]NP[/tex] (common)

[tex]\therefore \triangle MNP \cong \triangle OPN[/tex] (SSS)

[tex]\therefore[/tex] [tex]\angle M \cong \angle O[/tex] since they are corresponding angles of congruent triangles.

Hope this helps :)

Answer:

Step-by-step explanation:

Step-by-step explanation:

Step 1: Subtract 4n from both sides.

3n−2−4n=4n−6−4n

−n−2=−6

Step 2: Add 2 to both sides.

−n−2+2=−6+2

−n=−4

Step 3: Divide both sides by -1.

−n−1=−4−1

n=4

Answer:

Answer:

1. 44.23077

2. 30%

3. 72

4. 214.2

5. 75%

Step-by-step explanation:

Answer:

She should of used quotient rule since the beginning but if not its step 2

Step-by-step explanation:

Answer:

Quarters=7

Dime=8

Nickel=2

Step-by-step explanation: 8*.10=.80, 2*.05=.10, 7*.25=1.75 If you add them up you get 2.65.

Answer:

6 games

Step-by-step explanation:

Use the equation 2.5+3.25x=22 to solve in which $2.50 is the initial amount to rent for Bowling, $3.25 the amount of game that is played, $22 for what you have, and x in which is the amount of games you can play at the max.  Subtract 2.5 on both sides to get to 3.25x = 19.5.  Divide 3.25 on both sides to get your final answer as 6 for your x value in which you can play up to 6 games.

Answer:

6 games

Step-by-step explanation:

you do 2.50 - 22 this you divide 3.25 by what you have left

Answer:

29) 60°

30) 80°

Step-by-step explanation:

29)

8x + 4 = 11 + 7x

x = 7

∴ ∠ = 11 + 7(7) = 60

30)

14x - 4 = 12x + 8

2x = 12

x = 6

∴ ∠ = 14(6) - 4 = 80

Step-by-step explanation:

(12x - 5 )+ ( 13x _15 ) =180

25X = 180 +20=200

X= 8 ⇒

Z= 12X _5

Z= 12 × 8 -5 = 91 ⇒

Answer:

Yes you're right!!

Step-by-step explanation:

Question:

A new auditorium is being built for a college. The balcony has 200 seats. The floor has 25 rows with x seats in each row. The number of people in the auditorium must be under 750 to meet safety regulations. What is the solution of this inequality, and what is its meaning?​

Answer:

[tex]200 + 25x < 750[/tex]

Number of seats in a row must be less than 22

Step-by-step explanation:

Given

Total = Less than 750

Current Seats = 200

Rows = 25

Seat per row = x

Required

Represent as an inequality

The scenario will be represented as:

[tex]Current\ Seats + Rows * x = Total[/tex]

Substitute 200 for Current Seats

[tex]200 + Rows * x = Total[/tex]

Substitute 25 for Rows

[tex]200 + 25* x = Total[/tex]

[tex]200 + 25x = Total[/tex]

Substitute <750 for Total.

The equation then becomes

[tex]200 + 25x < 750[/tex]

Solving further:

[tex]25x < 750 - 200[/tex]

[tex]25x < 550[/tex]

[tex]x < \frac{550}{25}[/tex]

[tex]x < 22[/tex]

This means that:

Number of seats in a row must be less than 22

Answer:

11/5 or 2 1/5

Step-by-step explanation:

i hope that helped, plz correct me if im wrong :)

Step-by-step explanation:

The total is 3.6 + 4.85 = 8.45.

Answer:

your answer is 8.45

its C

Answer:

he can rent it for 10 hours

Step-by-step explanation:

35 - 15 = 20

20 divided by 2 equals 10

Answer:

10 hours

Step-by-step explanation:

Say x is the number of hours he can rent the detector at most. Using it, we can set up this equation:

15 + 2x = 35

Subtract 15 from both sides

2x = 20

Divide by 2 on both sides

x = 10

Answer:

(0, -8)

Step-by-step explanation:

The distance must be equal from C to A and points B to D.

Answer:

the answer=(B)

Step-by-step explanation:

you should be keen when you are doing construction in order to go get clear and accurate answer.

Answer:

50009yoyiyitotoltkggoykipo

5

No.

m represents the slope while b represents the y-intercept.

Answer: False

Step-by-step explanation:

Because the slope-intercept form is y=mx+b and m represents slope.

Answer:

A.

Step-by-step explanation:

Answer:

12,000

Step-by-step explanation:

The two thousands that 11,900 is in between are 11,000 and 12,000 which are our two options to choose from. 11,900 is only 100 away from 12,000 and 900 away from 11,000. Because the distance between 11,900 and 12,000 is shorter than the distance between 11,900 and 11,000, this means that 12,000 would be our answer since it is closer.

(I'm really sorry if this is confusing, I'm not good with words)

Answer:

32.3° and

147.7°

Step-by-step explanation:

Supplementary angles are angles with the sum of 180°

if one of the angle is 115.4° less than other then

(180 - 115.4) ÷ 2 = 32.3° is the measure of smaller angle and

32.3 + 115.4 = 147.7° is the measure of larger angle

Answer:

25% or more

Step-by-step explanation:

t1 = d1/v1 , t2 = d2/v2.

d1 = d2 , and v1 = 0.8 v2

t1 / t2 = d1/d2 x v2/v1 = v2/v1 ( as d1 = d2 )

t1/t2 = v2 / v1 = v2/0.8 v2 = 1/0.8 = 1.25

Answer:

The solution of the equation a(x) = b(x) is (9, 5.5)

Step-by-step explanation:

The solution of the system of the linear equations is the common ordered pair in their solutions, this solution is the point of intersection of the lines which represent the two equations graphically

In the given figure

∵ There are two lines, the blue line, and the red line

→ Let the blue line represents a(x) and the red line represents b(x)

∵ The solution of the equation a(x) = b(x) is the point of intersection of

    the two lines

∵ The x-coordinate of this point is 9

∵ The y-coordinate of this point is between 5 and 6 (5.5)

∴ The coordinates of the point of intersection are (9, 5.5)

∴ The solution of the equation a(x) = b(x) is (9, 5.5)

Answer:

7 miles

Step-by-step explanation:

To find how many miles Anjali ran, subtract 15 from 22, since Amy ran 15 more miles than Anjali:

22 - 15

= 7

So, Anjali ran 7 miles.