Find the missing side of the triangle. Round your answers to the nearest tenth if necessary.

36 km

24 km

52.5 km

58 km

Answer:

114

Step-by-step explanation:

Apply triangle outer angle theorem.

24+90=114.

Angle 1 equal 114

Answer:

Raju = 17 years

Raju's father age = 46 years

Raju's grandfather age = 72 years

Raju's grandmother = 68 years

His sister = 10 years old

Step-by-step explanation:

Raju’s father is 26 years younger than Raju’s grandfather and 29 years older than Raju. The sum of the ages of all the three is 135 years. Also, Raju's Grandmother is four times of Raju’s age and his sister is 7 years younger than him.

Let

Raju's age = x

Raju's father age = x + 29

Raju's grandfather age = (x + 29) + 26

Total ages = 135

(x) + (x + 29) + (x + 29) + 26 = 135

x + x + 29 + x + 29 + 26 = 135

3x + 84 = 135

3x = 135 - 84

3x = 51

x = 51 /3

x = 17

Raju's age = x = 17 years

Raju's grandmother = 4 times raju's age

= 4 × 17 years

= 68 years

his sister = 7 years younger than him.

= 17 - 7

= 10 years old

Raju's father age = x + 29

= 17 + 29

= 46 years

Raju's grandfather age = (x + 29) + 26

= 46 + 26

= 72 years

Answer:

9 gallons were used

Step-by-step explanation:

There are 8 pints to 1 gallon

72 jars holding 1 pint each means 72 pints total

72/8=9

Beth used 9 gallons

P.S. Can I get brainlist

Answer:

C

Step-by-step explanation:

Given

2(5x + 3) + 2 = 10x + 6 ← distribute and simplify left side

10x + 6 + 2 = 10x + 6

10x + 8 = 10x + 6 ( subtract 6 from both sides )

10x + 2 = 10x ( subtract 10x from both sides )

2 = 0 ← not possible

This indicates the equation has no solution

Answer:

no solutions

Step-by-step explanation:

2(5x + 3) + 2 = 10x + 6

* solve for x *

step 1 distribute the 2 to 5x and 3

2 * 5x = 10x

2*3=6

we now have 10x + 6 + 2 = 10x + 6

step 2 combine like terms

6 + 2 = 8

we now have 10x + 8 = 10x + 6

step 3 subtract 10x from each side

10x-10x=0

10x-10x=0

we're left with 8 = 6

8 is not equal to 6 meaning that there are no solutions to the equation

Answer:

Step-by-step explanation:

The statetement does not make sense because we can rewrite the equation of the line in the slope intercept form

1) add -Ax at both members

Ax + By - Ax = -Ax + C

By = -Ax + C

2) divide both members by B (assuming that its value is not 0)

y = (-A/B) x  + C/B

the slope of the line is the therm that multiply x, so

m = -A/B

Answer:

Your question is not very clear, hope I get what you want

Step-by-step explanation:

2x-1+3

=2x+2

=2(x+1)

Answer:The graph in the attached figureStep-by-step explanation:we have[tex]g(x)=2^{x-1}+3[/ tex

Answer:

x>0

Step-by-step explanation:

Answer:

x > 0

Step-by-step explanation:

3(x + 4) > 12

Divide both sides by 3

x + 4 > 4

Subtract 4 from both sides

x > 0

Answer:

4a 8v+3

4b 50y+63

5a 11v+8

5b 10y-82

6a 14p

6b 36y-5

7a -3z

7b 0

Answer:

4a.

7v+3-(-1)v

7v+3+v

8v+3

4b.

-7+10(5y+7)

-7+50y+70

50y+63

5a.

-3v+4v+8+10v

11v+8

5b.

10(y-9)+8

10y-90+8

10y-82

6a.

p+9p+p+p+p+p

14p

6.b.

4+9(-4y-1)

4-36y-9

-36y-5

7.a.

-5z+2z

-3z

7b.

-10y+10y

=0

Answer:

46.2

Step-by-step explanation:

If you divide 231 by 5 then you get that answer.

Answer:

2.35%

Step-by-step explanation:

Firstly, we calculate the z-score of each

we have this as;

z-score = (x - mean)/SD

from the question, mean is $1,500 while standard deviation is $250

So for each;

z-score = (750-1500)/250 = -750/250 = -3

z-score = (1000-1500)/250 = -500/250 = -2

Simply put, we want to calculate the percentage of prices between three standard deviations below the mean and two standard deviations below the mean

We can calculate this by using the empirical rule chart;

By looking up the this, the percentage of values between 3 SD below the mean and 2 SD below the mean is 2.35%

Answer:

P

v = 794.0275 in³

Q

v = 1,307.81 in³

Step-by-step explanation:

volume of cone

v = πr²h

----------------------------

cylinder P

v = 3.14 * (4.25²) * 14

v = 794.0275 in³

-----------------------------

cylinder Q

v = 3.14 * (7²) * 8.5

v = 1,307.81 in³

Answer:

m(x) =-3x -3

Step-by-step explanation:

f(x) = 2x + 1

g(x) = 5x +4

f(x) -g(x) =  2x + 1 -( 5x +4)

Distribute the minus sign

f(x) -g(x) =  2x + 1 -5x -4

Combine like terms

            = 2x-5x   +1 -4

             = -3x -3

Answer:

The correct answer is B. Jonas is correct because an equilateral triangle has 3 acute angles and all sides the same lenght

Answer:

Step-by-step explanation:

[tex]One \ million = 1, 000, 000\\\\Two \ hundred \ and \ fifty \ thousand = 250, 000[/tex]

Difference between one million and two hundred and fifty thousand

[tex]1,000,000[/tex]  [tex]- \ 250,000[/tex] [tex]= 750000[/tex]

International  Number System,750,000: Seven Hundred  and Fifty Thousand

Nepalis Number System,7, 50,000 : Seven Lakh Fifty Thousand

Answer:

You save $55

Step-by-step explanation:

To find out what the 75% of the 220 is, you need to do .75 times 220 and then after you get the answer, subtract that number from 220 and you have your answer.

Explanation:

If you graphed (x-6)(x+4) on the xy plane, then you'll see a parabola forming. This parabola has roots at x = -4 and x = 6. Between these roots, the curve is below the x axis. This visually shows that (x-6)(x+4) is negative when -4 < x < 6.

Furthermore, we can say that (x-6)(x+4) is negative or zero when [tex]-4 \le x \le 6[/tex] which corresponds directly to the number line graph your teacher gave you. The endpoints being closed circles mean "include this as part of the shaded solution set".

Answer:

[tex]\angle ABC = 112.6^o[/tex]

[tex]DE =105[/tex]

Step-by-step explanation:

Given

See attachment for complete question

Required

[tex]\angle ABC[/tex] and side length DC

 Calculating [tex]\angle ABC[/tex]

First, calculate [tex]\angle EBC[/tex]

[tex]\angle EBC + \angle BCE + 90 = 180[/tex] --- angles in a triang;e

[tex]\angle BCE =\angle BCD = 67.4[/tex]

So:

[tex]\angle EBC + 67.4+ 90 = 180[/tex]

[tex]\angle EBC + 157.4 = 180[/tex]

Collect like terms

[tex]\angle EBC = 180-157.4[/tex]

[tex]\angle EBC = 22.6[/tex]

So:

[tex]\angle ABC = \angle EBC +90[/tex]

[tex]\angle ABC = 22.6 +90[/tex]

[tex]\angle ABC = 112.6^o[/tex]

Calculating DC

First, calculate EC using Pythagoras theorem.

[tex]BC^2 = BE^2 + EC^2[/tex]

[tex]65^2 = 60^2 + EC^2[/tex]

[tex]4225 = 3600 + EC^2[/tex]

Collect like terms

[tex]EC^2 =4225 - 3600[/tex]

[tex]EC^2 =625[/tex]

Take square roots

[tex]EC = 25[/tex]

Length DC is:

[tex]DC = DE + EC[/tex]

Where

[tex]DE = AB =80[/tex]

So:

[tex]DE =80+25[/tex]

[tex]DE =105[/tex]

Answer:

ABC= 112.6

DC= 105

Step-by-step explanation:

got it right on edge!

Answer:

C.

Step-by-step explanation:

Each part of the boxplot is 25%.

At 3, Q1 starts.

Q1 + mean + Q3 = 75%

0.75 * 20 = 15 days

Answer:

KQ = 11.5 units

Step-by-step explanation:

In triangle ABC,

K is the point of intersection of medians AP and BQ.

Therefore, point K will be the centroid of the triangle.

Property of the centroid of a triangle,

" Centroid of a triangle divides the median in the ratio of 2 : 1"

Ratio of BK and KQ = 2 : 1

[tex]\frac{BK}{KQ}=\frac{2}{1}[/tex]

[tex]\frac{23}{KQ}= \frac{2}{1}[/tex]

[tex]KQ = \frac{23}{2}[/tex]

KQ = 11.5

Therefore, length of segment KQ = 11.5 units

Answer:

3x=89.97

 x=89.97/3

 x=29.99 -- price of one

Step-by-step explanation:

Answer:

C 42yd

Step-by-step explanation:

Answer:

292 cm²

Step-by-step explanation:

the area = 2×(8×6 +8×7 + 6×7)

= 2×(48+56+42)

= 2×146

= 292

Answer:

28 minutes

Step-by-step explanation:

40 percent is 0.4 and 100 percent is 1. Since you have the full 100% of 20 plus the increase of 40% you have to multiply by 20 by 1.4

1.4*20 = 28

Step-by-step explanation:

the answer is in the above image

Answer:

Roughly $50-$400

Step-by-step explanation:

Some expenses include:

- Vitamins

- Medication for fleas/heartworms

- Spaying/neutering

Answer:

Sebastian spent $40.40 at the gas station.

Step-by-step explanation:

First let's find how much the gas cost.

So it's $2.91 a gallon, and Sebastian fills 10 gallons of gas, so we multiply.

10 * 2.91 = $29.10

Then we add on the $11.40 from the granola bars and the box of tissues.

$29.10 + $11.40 = $40.50

So the final price should be $40.40. Sebastian spent $40.40 at the gas station.

Answer:

27

Step-by-step explanation:

3v+6=5v-8

3v+14=5v

14=2v

v=7

3*7+6

21+6

27

u were right on 7 u just need to plug it into the equation