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Answer:

15) m∠A = 21°, m∠B = 125°, m∠C = 34°

16) m∠J = 48°, m∠K = 57°, m∠L = 75°

Explanation:

15) m∠A is thirteen less than m∠C, so if you were to translate that into numerical terms, it would be (x-13). m∠B is eleven less than four times m∠C, so that would be (4x-11). Because the angles of a triangle sum up to 180°, the equation for this scenario would be (x-13)+(4x-11)+x=180. (X is a variable for m∠C. Add all the like terms to get 6x-24=180. Add 24 to both sides to get 6x=204. Divide 6 on both sides to get x=34. Now that we know m∠C, we can substitute 34 into x to get m∠A as 21° and m∠B as 125°.

16) m∠K is 9 more than m∠J, which is (x+9). m∠L is 21 less than twice m∠J, which is (2x-21). Again, a triangle's angles sum up to 180°, so the equation would be (x+9)+(2x-21)+x=180. Add the like terms to get 4x+(-12)=180. Add 12 to both sides to get 4x=192. Divide 4 on both sides to get x=48. Substitute 48 for x to get m∠K = 57° and m∠L=75°.

Answer:

-4/3.

Step-by-step explanation:

cos O = 3/5

Using Pythagoras to find the length of the side opposite  the angle O:

As the  cos of O is adjacent/ hypotenuse,  Hypotenuse = 5 , adjacent side = 3 so

opposite side. = sqrt(5^2 - 3^2) = sqrt 16

= 4.

Now the tangent is negative in Q IV so

tan O =  opposite / adjacent side = -4/3

1/3 (3y - 6) = 8

distribute: y - 2 = 8

add 2 to both sides: y = 10

10

Answer: y=10

Step-by-step explanation: 1 /3 (3y−6)=8

( 1 /3 )(3y)+( 1 /3 )(−6)=8

y+−2=8

y−2+2=8+2

y=10

Answer:

A C D

Step-by-step explanation:

Unit rate examples:

70 miles / 1 hour

$1.10 / 1 pound

32 heartbeats / 1 minute

Unit rate will always have 1 as a denominator when put into a ratio. All answers except B have 1 as the rate.

Answer:

what elephant house said I was to late

Step-by-step explanation:

Answer:

32

Step-by-step explanation:

Alright, so think of the "what number" as x in this case. (Or any number/symbol you choose.)

So our simple equation looks something like this:

[tex]24= x *\frac{3}{4}[/tex]

So, to find out what the "what number" would be we'd flip the fraction around/find the reciprocal and multiply 24 by it. That gives us "x" or the number we're missing.

So: [tex]24 * \frac{4}{3} = x[/tex]

Doing the simple math we get:

[tex]24 * \frac{4}{3} = 32[/tex].

32 is your answer.

Hope this helps and have a nice day! Sorry I'm not great at explaining it!

Answer:

i think its; there  all inequalities

Step-by-step explanation:

Answer:

the answer is 16

Answer:x=2

Step-by-step explanation:

Answer:

The answer is

Step-by-step explanation:

-y · (6x-11)

Hope that helps

Answer: JL = 25

Step-by-step explanation: Segment JM is the total measure of the line segment and it equals 45.

Suppose first segment JK measures d.

The total ratio is the sum of each part

d + 4d + 4d = 9d

The sum of each part corresponds to the total measure of the line segment. Then:

9d = 45

d = 5

Segment JL is

JL = d + 4d

JL = 5d

JL = 5.5

JL = 25

Segment JL measures 25 units.

Answer:

(2, -12)

Step-by-step explanation:

Answer:

(2, -12)

Step-by-step explanation:

(x, y ) = (0, -8)

2 units right = +2 units to the x-coordinate

4 units down = -4 from the y-coordinate

(0+2, -8-4)

= (2, -12)

Answer:

The slope-intercrept from y is = mx+b, where m is the slope and b is the y-intercrept

Step-by-step explanation:

y=x-2

Answer: 3w + 4.8

Step-by-step explanation:

3(w + 1.6)

=> 3w + 4.8

Answer:

3w + 4.8

Step-by-step explanation:

3 x w = 3w

3 x 1.6 = 4.8

Step-by-step explanation:

1st one

y=4x-3

2nd one

y=4-3x

Answer: -3 and 0

Step-by-step explanation: f(x) = g(x) where they intersect. Two lines intersect when they have the same x and y values.

Answer:

2.5 miles

Step-by-step explanation:

Answer:

The actual trail length is 2.5 miles.

Step-by-step explanation:

Let's solve this. 0.5 inches on the scale = 1 mile. Since the trailer is 1.25 inches long on the scale, let's first multiply 0.5 by 2. You would get 1 inch on the scale, which would be 2 miles.

2 miles = 1 inch on the scale. But it says 1.25, so since 0.5 inches is 1 mile, then 0.25 inches is 0.5 miles. Add 2 miles and 0.25 miles, and you will get 2.5 miles.

The trailer length is 2.5 miles.

Answer:

10+8+2.5+8+6+2.5=37 .

ok you are understand or bot

Answer:

48.75

Step-by-step explanation:

The salesmen makes a commission of 3.25%. So to get the percent into a usable form for this take 3.25 and divided by 100. You get 0.0325.

Now you take the 0.0325 and mutliply it by the 1500. This gives you 48.75

Answer:

7/12

Step-by-step explanation:

Answer:

2.56

Step-by-step explanation:

( 1.6 x -0.25) x 4= -1.6

(-1.6)^2 = 2.56

Answer:

the correct answer is C) √5

Step-by-step explanation:

Answer:

Volume= 0.96m^3

TSA= 6.56m^2

Step-by-step explanation:

Given data

Length = 2m

Width= 80cm= 0.8m

Height= 60cm= 0.6m

Volume= L*W*H

Volume= 2*0.8*0.6

Volume= 0.96m^3

TSA=2lw+2lh+2hw

TSA= 2*2*0.8+2*2*0.6+2*0.6*0.8

TSA=  3.2+ 2.4+ 0.96

TSA= 6.56m^2

Answer:

y = -7/2x - 7

Step-by-step explanation:

let me know if you need the steps . . .

Answer:

Interest: $1440

Total Account Balance: $5440

Step-by-step explanation:

First, converting R percent to r a decimal

r = R/100 = 1.2%/100 = 0.012 per year,

then, solving our equation

I = 4000 × 0.012 × 30 = 1440

I = $ 1,440.00

The simple interest accumulated

on a principal of $ 4,000.00

at a rate of 1.2% per year

for 30 years is $ 1,440.00.

The simple Interest is $1440 and the total Account Balance: $5440.

Simple interest is calculated just on the loan's principal amount, whereas compound interest is calculated on both the principal and the cumulative interest.

First, converting R percent to r a decimal,

r = R/100 = 1.2%/100 = 0.012 per year,

Then, solving our equation,

I = 4000 × 0.012 × 30 = 1440

I = $ 1,440.00

The simple interest accumulated,

on a principal of $ 4,000.00

at a rate of 1.2% per year

for 30 years is $ 1,440.00.

Therefore, the simple Interest is $1440, and the total Account Balance: $5440.

To know more about simple interests follow

https://brainly.com/question/2294792

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Answer:

sorry but it is not clear pleas take a more clear pic

Step-by-step explanation: