Solve for the unknown angle

Answer:

[tex]m=-\frac53; q=-2[/tex]

Step-by-step explanation:

Let's bring the line in the classical [tex]y=mx+q[/tex] form

[tex]3y= -5x-6\\y=-\frac53 x -2[/tex]

At this point we have the two values [tex]-\frac53[/tex] for the slope and [tex]2[/tex] for the intercept

[tex]5(m -3 ) = 40 \\ = > 5m - 15 = 40 \\ = > 5m = 40 + 15 \\ = > 5m = 55 \\ = > m = 11[/tex]

Therefore, m = 11

5m = 5 × 11 = 55

5m is 55, m is 11.

Hope it helps.

Do comment if you have any query.

Answer:

m=11

5m=55

Step-by-step explanation:

To find the answer to this question, isolate m. Do this by using the properties of equality.

First, distribute the 5 to the terms within the parentheses

Then, add 15 to both sides

Next, divide both sides by 5

This gives you the solution to both questions. If you want to check the answer, simply plug the variable back in. This gives you, 5(11-3)=40. Once solved this equals 40=40. Therefore, 11 is correct.

Step-by-step explanation:

1.) distribute (-3/(4x+8)=6)

2.) move 8 (-3/4x=-2)

3.) multiply by 4x (-3= -8x)

4.) divide by -8 (x=2.6)

:)

Answer:

The smaller angle is 20 degrees.

Step-by-step explanation:

A triangle's interior angles must have a sum of 180 degrees. Hence the two acute angles must have a sum of 180-90=90 degrees.

Say that the angles have 2x and 7x length:

2x+7x=90

9x=90

x=10

Hence the acute angles have degrees 2*10=20, 7*10=70.

The smaller angle is 20 degrees.

Hope this was helpful!

Answer:

400 ft

Step-by-step explanation:

H = 160t - 16t^2 = 16t(10 - t)

The minimum/maximum of a quadratic function is always exactly in between the 0 points (or any other points with equal value, as a parabole is symmetrical).

Let's solve for H = 0

16t(10-t) = 0

t = 0 or 10 - t = 0

t1 = 0, t2 = 10

the maximum is at (t1+t2)/2 = 5

H(5) = 16*5(10-5) = 80*5 = 400

Answer:

A = 8a + [tex]\frac{1}{2}[/tex]πa²

Step-by-step explanation:

The figure consists of a rectangle and a semi- circle

area of rectangle = 4 × 2a = 8a

area of semi- circle = [tex]\frac{1}{2}[/tex]πr² ( r is the radius = a )

                                = [tex]\frac{1}{2}[/tex]πa²

Then area (A ) of figure is

A = 8a + [tex]\frac{1}{2}[/tex]πa² ← factor out [tex]\frac{1}{2}[/tex] a from each term

   = [tex]\frac{1}{2}[/tex] a(16 + aπ)

Answer: B??

Step-by-step explanation:

Correc me if i wrong ovo

Step-by-step explanation:

To easily solve this problem we need to know two facts:

Slope-intercept form

Since 3x - 4y = 12

         3x - 12 = 4y

                  y = ³/₄ x - 3

         ∴ y-intercept is (0, -3)

Solve for x when y = 0

Since 3x - 4y = 12

         3x - 4(0) = 12

                    x = 4

∴ x-intercept is (4, 0)

We can check our answer by graphing the line and seeing if it passes through the intercepts we calculated. Since it does (see graph below), then the answers we calculated are correct.

Answer:

iro 50*.6 gives us 30 miles

andkalini drives 65 for .5 65*.5= 32.5 miles

so kalini drove further

Answer:

$13.80

Step-by-step explanation:

69 · 20% = 13.8

Answer:

d

took the test

Step-by-step explanation:

Answer:

b

Step-by-step explanation:

khan academy

Answer:   y = 2x, D.

Step-by-step explanation:  We can calculate the slope of the line between these two points:  Rise/Run:

Rise: (10-0)=10

Run:  (5-0) = 5

Rise/Run = 10/5 = 2

The y-intercept is zero (it is the value of y when x=0, which we are given as (0,0)).

The line between these two points is thus y=2x+0, or

y = 2x.  Looks like D.

Answer:

D. y=2x

Step-by-step explanation:

0x2=0 and 5x2=10. That's really it, simple math

Answer:

Step-by-step explanation:

Simple interest is the agreed upon amount that was first deposited. Even if the depositor leaves his interest in the account, the amount paid is on the account is on the 5000 dollars, not the 5100 it will be at the end of the second year.

i = p * r * t

p = 5000 dollars

r = 2% each year

i = 2/ 100 = 0.02

i = 5000 * 2/100 * 2

i = 200 dollars after 2 years.

Answer:

Step-by-step explanation:

123

Answer:

r=1/4

Step-by-step explanation:

Answer:

r = 1/4

Step-by-step explanation:

Step 1: Simplify both sides of the equation.

Step 2: Subtract 2r from both sides.

Step 3: Subtract 1/3 from both sides.

Step 4: Multiply both sides by -3/4.

Therefore, r = 1/4.

Answer:

17.2ft

Step-by-step explanation:

just add

11.4+5.8=17.2

Answer:

9

Step-by-step explanation:

just count it!!

hope its help

Answer:

see explanation

Step-by-step explanation:

- 4x + 3 < 23 ( subtract 3 from both sides )

- 4x < 20

x < - 5 ← Her error is on this step

When dividing by a negative quantity the symbol is reversed, that is

Divide both sides by - 4 and reversing the symbol gives

x > - 5

Lets look at each one:

A. 7x+x+8=16x

This left side will be 8x + 8, so its wrong.

B. x+x+1+1=2x+2

This left side will be 2x + 2, it is right!

C. 5(x+3)=5x+5

This left side will be 5x+15, so its wrong.

D. 9x−18=9(x+2)

This left side will be 9(x-2), so its wrong.

Our answer is going to be B) x+x+1+1=2x+2

x + x = 2x

1 + 1 = 2

2x + 2

I hope this helps! :)

Answer: g

Step-by-step explanation:

Answer:

7

Step-by-step explanation:

After a number is taken out of the absolute value sign, it becomes positive. Therefore, |3| = 3, |-3| = 3, and |-1| = 1. Adding these up, we get 3 + 3 + 1 = 7

Answer:

$100.66

Step-by-step explanation:

First you have to figure out how much she is making from all four tickets, so 4 x 359.50 is $1,438

She makes 7% commission. In decimal form, that is .07. In order to find what she made, multiply .07 by $1,438.

Olivia makes $100.66

you take each other you do multiplication and you have answer

Answer: 3

Step-by-step explanation:

We know that p(t) = 11:

11=2t+5

11-5=2t

6=2t

6/2 = t

3 = t

Please find attached photograph for your answer.

Hope it helps.

Do comment if you have any query.