What is the value of x of the acute angles of a right triangle measure 8x and 12x?
A.2
B. 4.5
C. 7
D. 9.5

Answer:

Step-by-step explanation:

The area of a shape is the amount of space it can occupy, while the perimeter is the sum of its sides.

Given that:

[tex]P = 39[/tex] --- the perimeter of the shape

The value of x

The perimeter is the sum of all sides.

So, we have:

[tex]P = x + x + 3.5 + 3.5 + 3 + 3 + 9 + (9 - 3.5 - 3.5)[/tex]

Substitute 39 for P

[tex]x + x + 3.5 + 3.5 + 3 + 3 + 9 + (9 - 3.5 - 3.5) = 39[/tex]

[tex]2x + 24 = 39[/tex]

Collect like terms

[tex]2x = -24 + 39[/tex]

[tex]2x = 15[/tex]

Divide through by 2

[tex]x = 7.5[/tex]

The area of the shape

The shape can be divided into two rectangles

So, the area of the shape is:

[tex]Area = 9ft \times 3ft + (9 - 3.5 - 3.5)ft \times x ft[/tex]

[tex]Area = 27ft^2 + 2ft \times x ft[/tex]

Substitute [tex]x = 7.5[/tex]

[tex]Area = 27ft^2 + 2ft \times 15 ft[/tex]

[tex]Area = 27ft^2 + 30 ft^2[/tex]

[tex]Area = 57 ft^2[/tex]

Hence, the area of the shape is 57 square feet.

Read more about areas and perimeters at:

https://brainly.com/question/16103242

Answer:

50

Step-by-step explanation:

the angle that they want you to find is complementary to the angle that equals 40. Complementary means they will add up to equal 90. 90-40=50 so ADB = 50

Answer:

it's answer is 33°

Step-by-step explanation:

116° + 31° + m<1 = 180° [being sum of angles of triangle ]

147° + m< 1 = 180°

m<1 = 180° - 147°

m<1 = 33°

[tex]hope \: i t \: will \: help [/tex]

Answer:

AOD i think

Step-by-step explanation:

Answer:

angle aob

Step-by-step explanation:

Answer:

8/5..............…is the answer

Answer:

Standard Form: 6/5 Mixed Number: 1 1/5 Decimal: 1.2

Step-by-step explanation:

1. Subtract 1 from both sides of the equation

x/3 + 1 = 7/5

x/3 + 1 - 1 = 7/5 - 1

2. Simplify

2a.

x/3 + 1 - 1 = 7/5 - 1

x/3 = 7/5 - 1

2b.

x/3 = 7/5 - 1

x/3 = 2/5

3. Multiply all terms by the same value to eliminate fraction denominators

x/3 = 2/5

3 x x/3 = 3 x 2/5

4. Simplify

4a. Cancel multiplied terms that are in the denominator

cross out the threes in 3 x x/3 then you should get x = 3 x 2/5

4b. Multiply the numbers

x = 3 x 2/5

x = 6/5

And your answer should be 6/5|

I hope this helps you or anyone

Answer:

2.25π square inches

Step-by-step explanation:

Area = π[tex]r^{2}[/tex]

Diameter = 2r

So in this case, radius = 1.5 inches

Plugging that into the area formula produces the answer

Answer:

Step-by-step explanation:

is SAS because you are given a pair of sides ≅, you have a pair of angles that are ≅ because 2 ║lines cut by a transversal and, you have another side because one of the sides is shared

Answer:

Step-by-step explanation:

Check by direct substitution.  If we begin by checking x = 3/2, we substitute 3/2 for x in (3x - 2)(x + 5), obtaining (9/2 - 2)(3/2 + 5), which is NOT zero.  Therefore x = 3/2 is not a solution.

(3*5−2)(5+5)=0  False.  x = 5 is not a solution.

(3*[-5]−2)([-5+5)=0  True.  x = -5 is a solution

x = 2/3:  (3*2/3 - 2)( ) = 0.  True  x = 2/3 is a solution

x = -2/3:  ( )( ) = -17 1/3;  so x = -2/3 is not a solution

x = -3/2:  ( ) ( ) = -22 3/4; so x = -3/2 is not a soution

Answer:

uh

Step-by-step explanation:

Answer:

wtffffffffffffffffffff

Answer:

[tex]\frac{3}{11}[/tex]

Step-by-step explanation:

What is the GCF of both numbers:

the GCF is 6.

6 goes into 18, 3 times

6 goes into 66, 11 times

so the simplified version is 3/11

Answer:

28.26 cm²

Step-by-step explanation:

Area of a circle = πr²

         r = diameter/2

         r = 6/2 = 3

A = (3.14)(3)²

A = 28.26 cm²

Answer:

9/25 = 36%

Step-by-step explanation:

First add up all of the students (150)

Then divide 54 by 150, 0.36

0.36 = 36% = 9/25

Answer:

12

Step-by-step explanation:

8-4= 4 So, 4 is the quotient.

4x3= 12 So 12 is the original number  

12/3 + 4= 8

Answer:

34

Step-by-step explanation:

40 * .15= 6

40-6 = 34

okkk so you do 40 * .15 because you just put a decimal point before all percentages to convert it into number

40*.15= 6

then subtract 6 to the original amount

40-6=34

34 students went on the trip on thursday cause 6 students got killed by bears in the last trip.

Answer:

well, there is no image but it could be..

4z,z+3z,2z+2z

you can use the formula of pythagoras theorem to know what of them is wrong

in the first case

-5^2 + 12^2 =169

 13^2=169         ( it's a right equation so it can be lengths of right angle tri )

in the second case

_9^2 + 12^2 =225

  17^2 not equal 225

so these are the lengths that can't be a right angle triangle

Answer:

x>-5

Step-by-step explanation:

First, you have to write the equation: x+6>1

Then you just subtract 6 on both sides: x>-5

Answer:

It's Balanced

Step-by-step explanation:

A simple word equation that can be used to describe the process of photosynthesis is carbon dioxide + water —> glucose + oxygen + water.  So it's a balanced chemical equation for the process can be written as 6CO2 + 6H2O —> C6H12O6 + 6O2

Hope this helps!

Answer:

Problem 1: y = 4x + 6

Problem 2: 48 soda bottles per minute

Step-by-step explanation:

Problem 1:

Equation of a line in slope-intercept form is given as y = mx + b.

Wee have to figure out the value of the slope (m) and the value of y-intercept (b). Them to write an equation that represents the line of the graph, we need to input the values of m and b into the equation, y = mx + b.

Thus,

m = hourly fee = $4

b = initial deposit = $6

Substitute m = 4 and b = 6 into y = mx + b

Equation would be:

y = 4x + 6

Problem 2:

What we are simply asked to do is to find the slope of the line, which is the number of soda bottles the machine will produce per minute

Using the two points (3, 144) and (8, 384),

Slope = ∆y/∆x = (384 - 144)/(8 - 3)

Slope = 240/5 = 48

Thus, the machine will make 48 bottles per minute

Answer:

C

Step-by-step explanation:

We want the equation of the line that passes through (3, 6) and is perpendicular to:

[tex]3x-4y=-2[/tex]

First, convert the second equation into slope-intercept form:

[tex]-4y=-3x-2\Rightarrow \displaystyle y=\frac{3}{4}x+\frac{1}{2}[/tex]

So, we can see that the slope of the line is 3/4.

The slopes of perpendicular lines are negative reciprocals of each other.

Therefore, the slope of the new line is -4/3.

It passes through the point (3, 6).

We can use the point-slope form:

[tex]y-y_1=m(x-x_1)[/tex]

Substitute:

[tex]\displaystyle y-(6)=-\frac{4}{3}(x-3)[/tex]

Distribute:

[tex]\displaystyle y-6=-\frac{4}{3}x+4[/tex]

Therefore:

[tex]\displaystyle y=-\frac{4}{3}x+10[/tex]

The answer is C.

Answer:

Step-by-step explanation:

9/12 ounce = 3/4 = .75 ounce flour

Answer:

19

Step-by-step explanation:

Answer:

The average rate of change of the function is: 0

Step-by-step explanation:

The function y = f(x) is graphed below.

From the graph it is clear that:

at x = -8, the value of f(-8) = -10

at x = -1, the value of f(-1) = -10

We have to determine the average rate of change of the function f(x) on the interval -8 ≤ x ≤ -1.

so

at x₁ = -8, f(x₁) = f(-8) = -10

at x₂ = -1, f(x₂) = f(-1) = -10

Using the formula to determine the average rate of change of the function f(x) on the interval -8 ≤ x ≤ -1.

Average rate = [f(x₂) - f(x₁)] / [ x₂ - x₁]  

                      = [f(-1) - f(-8) ] / [-1-(-8)]

                      = [-10 - (-10)] / [-1+8]

                      = [-10 + 10] / 7

                      = 0 / 7

                      = 0

Therefore, the average rate of change of the function is: 0

Answer:

Q1.ans=52

Q2.ans=9

Step-by-step explanation:

substitute the value of x in the equations and open the bracket before adding and subtracting

Answer:

y=2x+1

Step-by-step explanation:

y-y1=m(x-x1)

y-3=2(x-1)

y-3=2x-2

y=2x-2+3

y=2x+1