Answers
Answer:
x = 9
y = 56
Step-by-step explanation:
(3x + 7)° + (6x + 2)° = 90° (both angles are complementary)
Find the value of x using this equation
[tex] 3x + 7 + 6x + 2 = 90 [/tex]
Collect like terms
[tex] 3x + 6x + 7 + 2 = 90 [/tex]
[tex] 9x + 9 = 90 [/tex]
Subtract 9 from each side
[tex] 9x + 9 - 9 = 90 - 9 [/tex]
[tex] 9x = 81 [/tex]
Divide both sides by 9
[tex] \frac{9x}{9} = \frac{81}{9} [/tex]
[tex] x = 9 [/tex]
y° = (6x + 2)° (both angles are vertical angles. Vertical angles are equal)
Plug in the value of x to find y
y = 6(9) + 2
y = 54 + 2
y = 56
Related Questions
the base of a triangle is 4 times the height. if the area is 338 square feet, then what is the height of the triangle in feet
Answers
Area of a triangle = 1/2 * b * h
b = base
h = height
We know:
h = x
b = 4x
Area = 338ft^2
Let's plug these numbers into the Area formula above.
338ft^2 = 1/2 * 4x * x
First, let's divide both sides by 1/2
676ft^2 = 4x * x
Let's simplify the right side.
676ft^2 = 4x^2
Take the sqrt of both sides.
26 = 2x
Divide each side by 2
13 = x
Remember, the height = x = 13 feet
What is 4-9+(-6)?????????
Answers
Answer:
it's -11
Step-by-step explanation:
hope this helped
Answer:
-11
Step-by-step explanation:
Problem: 4-9+(-6)
First: 4-9
Second: -5+(-6)
Answer: -11
A polygon is shown on the graph: A polygon is shown on a coordinate plane. The vertices are A at negative 6 comma 5, B at negative 6 comma 2, C at negative 2 comma 2, and D at negative 2 comma 6. If the polygon is translated 4 units down and 5 units right, what will the coordinates of the new image be? Use prime notation in expressing the new coordinates. Help please
Answers
Answer:
A) (-1’,1‘)
B) (-1’,-2’)
C) (3’,-2’)
D) (3’,2’)
Step-by-step explanation:
A) (-1’,1‘)
B) (-1’,-2’)
C) (3’,-2’)
D) (3’,2’)
my
Donald can type 240 words in 6 minutes. How long will it
take him to type a 1000-word essay if he types at the
same rate?
Answers
Answer:
25min
Step-by-step explanation:
40 is the unit rate so 40 words per minute so it's 25 because 1000÷(40)*
(the unit rate)*. Sorry if I'm worng.
Find the vertex of the parabola with the equation y=-5x^2+30X+35
Answers
You are planning to plant a triangular garden in your backyard, as shown. You plan to put up a fence around the garden to keep out animals. Find the length of fencing you need to the nearest meter.
Answers
Answer:
24 m
Step-by-step explanation:
The lenght of fencing needed is the sum of all sides the triangular garden represented on the coordinate grid.
The lenght of the triangular garden = 16 - 10 = 6 m
Lenght of the height = 8 - 0 = 8 m
Lenght of the hypotenuse can be calculated using coordinates of the two vertices of the ∆ that forms the hypotenuse lenght and also using the distance formula.
Coordinates of the two vertices = (10, 0) and (16, 8).
[tex] distance = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2} [/tex]
Let,
[tex] (10, 0) = (x_1, y_1) [/tex]
[tex] (16, 8) = (x_2, y_2) [/tex]
[tex] d = \sqrt{(16 - 10)^2 + (8 - 0)^2} [/tex]
[tex] d = \sqrt{(6)^2 + (8)^2} [/tex]
[tex] d = \sqrt{36 + 64} = \sqrt{100} [/tex]
[tex] d = 10 [/tex]
Length of fencing = 6 + 8 + 10 = 24 m
On a number line, which number is 7/9 of the way from -6 to 3
Answers
Answer:
1?
Step-by-step explanation:
if you go from -6 to 3 it is 9 spaces. so 7 spaces equals one.
what is the average rate of change for the quadratic function from x=4 and x=8? enter your answer in the box
Answers
Answer:
the image up is your answer to the question.
Answer:
-2
Step-by-step explanation:
Value of the function at x = 4 is 12
Value of the function at x = 8 is 4
change in y is 4 - 12 = -8
change in x is 8 - 4 = 4
x = 4 to x = 8 is -8/4 = -2
Imagine that city officials in your hometown expect a huge rise in population over the next few years. Which of the following people would be the best person to hire to help prepare the city for the future? A. a meteorologist B. a physical geographer C. an urban planner D. a cartographer Select the best answer from the choices provided please A ?, B ?, C ?, or D ?
Answers
Answer: C
Step-by-step explanation:
The best person will be an urban planner to help prepare the city for the future. The correct option is C.
What is the work of an urban planner?
In towns, cities, counties, and metropolitan areas, urban and regional planners construct land use plans and programs that support the development of communities, allow for population increase, and renew physical infrastructure.
Given that the city officials in your hometown expect a huge rise in population over the next few years.
The best person to help in preparing the city for the future will be an urban planner.
Therefore, the best person will be an urban planner to help prepare the city for the future. The correct option is C.
To know more about an urban planner follow
https://brainly.com/question/17323015
#SPJ2
Find the average rate of change in the price of gasoline from 2006 to 2008
Year
Cost
2005
$2.31
2006
$2.62
2007
$2.84
2008
$3.30
2009
$2.41
2010
$2.84
2011
$3.58
2012
$3.68
А.
$0.34/year
В.
$0.28/year
C.
$0.32/year
D. $0.35/year
Answers
Answer:
A
Step-by-step explanation:
ames earned $816 each year. He earned x dollars less per month than Matt, who earned $80 per month.
Equation: 12(80 – x) = 816
x = 12; monthly earnings = $68
Which strategies will verify that the value for x is correct? Check all that apply.
Substitute 68 for x in the equation.
Substitute 12 for x in the equation.
Multiply $68 by 12 months.
Multiply $80 by 12 months.
Answers
Answer: Its B and C
Step-by-step explanation:
Answer:
The correct answer is:
B. Substitute 12 for x in the equation
C. Multiply $68 by 12 months
1/2 of the total dog population in your town is 130 dogs. How many dogs are there in your town?
Answers
Answer:
260
Step-by-step explanation:
hope it helps
Solve the following equation for the unknown quantity: 12x-8=3x+10. a. x=4 b. =2 c =12 d. x=1/2
Answers
Answer:
b. x=2
Step-by-step explanation:
Step 1- Move the variable to one side.
12x-8= 3x+10
-3x -3x
9x-8= 10
Step 2- Add 8 to both sides.
9x-8= 10
+8 +8
9x= 18
Step 3- Divide to both sides.
9x= 18
9 9
x= 2
If f(x) = 6x and g(x) = 4x+1, find (fog)(x).
Answers
Answer:
a) 24x+6
Step-by-step explanation:
Which of these is true about pi? A It is a terminating decimal. B It is an irrational number. C It is a repeating decimal. D It is a ratio of integers.
Answers
Answer:
B. It is an irrational number
Step-by-step explanation:
A would not be true because PI does not terminate (end)
B is true, because PI does not repeat or end
C would not be true because PI does not repeat
D just would not be true
If f(x) = 4x – 2 and g(x) = 5x – 3, what is g(f(2))?
Answers
Step-by-step explanation:
f(2) = 4(2) - 2
= 8 - 2
= 6
g(f(2)) = g(6)
g(6) = 5(6) - 3
= 30 - 3
= 27
g(f(2)) = 27
Simplify the expression. -6 + 3(2 - 4t) *
Answers
Answer:
-6 + 6 - 12t *
0 - 12t *
12t *
Therefore the answer is 12t *
Can some one ☝️ plz help me
Answers
Just add 7 to all x-coordinates and subtract 9 from all y-coordinates.
S' = -3 + 7 = 4 and 6 - 9 = -3 therefore S'(4, -3)
T' = 0 + 7 = 7 and 7 - 9 = -2 therefore T'(7, -2)
U' = 1 + 7 = 8 and 4 - 9 = -5 therefore U'(8, -5)
V' = -5 + 7 = 2 and 2 - 9 = -7 therefore V'(2, -7)
Solve using properties 93+(68+7)
Answers
1. Identify the domain of the relation.
{ (2.5). (3. 8), (4, 11). (5. 14)}
Answers
Answer:
The domain is 2,3,4,5
Step-by-step explanation:
Domain is the x values of the input values
You have to put the domain numbers in least to greatest format. And separate the number is commas, not braces
The domain is 2,3,4,5
Hope this helps!
Please help. BRAINLIEST TO BEST ANSWER
Answers
I’m sure of it
Answer:
b
Step-by-step explanation:
we have the point
[tex](2,-4)[/tex]
so when
x=2
y=4
so we can try on all equations
[tex]y_1=2|x-2|-4\\\\y_1=2|2-2|-4\\\\y_1=2|0|-4\\\\y_1=0-4\\\\y_1=-4[/tex]
so equation 1 could be
[tex]y_2=\frac{1}{2} |x-2|-4\\\\y_2=\frac{1}{2}|2-2|-4\\\\y_2=\frac{1}{2}|0|-4\\\\y_2=0-4\\\\y_2=-4[/tex]
so equation 2 could be
[tex]y_3=2|x+2|-4\\\\y_3=2|2+2|-4\\\\y_3=2|4|-4\\\\y_3=8-4\\\\y_3=4[/tex]
so equation 3 is not
[tex]y_4=\frac{1}{2}|x+2|-4\\\\y_4=\frac{1}{2}|2+2|-4\\\\y_4=\frac{1}{2}|4|-4\\\\y_4=\frac{1}{2}(4)-4\\\\y_4=2-4\\\\y_4=-2[/tex]
so equation 4 is not
So another point that we have is
[tex](0,-3)[/tex]
so we plug in
[tex]y_1=2|x-2|-4\\\\y_1=2|0-2|-4\\\\y_1=2|-2|-4\\\\y_1=4-4\\\\y_1=0[/tex]
so this isn't
[tex]y_2=\frac{1}{2}|x-2|-4\\\\y_2=\frac{1}{2}|0-2|-4\\\\y_2=\frac{1}{2}|-2|-4\\\\y_2=\frac{1}{2}(2)-4\\\\y_2=1-4\\\\y_2=-3[/tex]
so the answer is b
Need help writing an equation and solving! A concert hall has seven sections. Each section has 23 rows. Each row has 14 seats. If the theater sells out for a particular performance, how many people attended? If the average tickets sold for $20, how much was collected at the box office?
Answers
Answer:
322 people attended and made $6440
Step-by-step explanation:
23 x 14 = 322
322 x 20 = 6440
which operation must you use to calculate the submarine's change in elevation? which word or words in the problem signify this operation?
Answers
Answer:
The problem states that the submarine dives down 115 feet deeper. The words dives and down convey that the submarine dove farther below its initial level. So, I should subtract 115 feet from -502.5 feet.
Step-by-step explanation:
Correct answer
Solve each system of equations using substitution
Y=2x+3
5x-2y=-6
Answers
-2*2x=-4x
-2*3=-6
5x-4x-6=-6
5x-4x=x
x-6=-6
x=6-6
x=0
Replace x with 0 in one of the above equations
y=2(0)+3
2*0=0
y=0+3
y=3
Answers
x=0
y=3
There is 4/6 of a pizza left from dinner . Each person gets 1/6 of a pizza for lunch the next day . How many people eat the pizza for lunch ?
Answers
Answer:
B
Step-by-step explanation:
If the pizza is cut into 6 slices, then 4/6 of a pizza is 4 slices. If each person eats one slice, 4 persons can be fed.
1 7/8 x 10/7 x 4 I need help answering this its confusing
Answers
Answer: 75/7
Step-by-step explanation:
Concept:
Multiplication in fraction is the numerator times numerator and denominator times denominator, and if possible, you can simplify the numerator and denominator by eliminating common factor.
Solve:
1 7/8= 15/8
1 7/8 × 10/7 × 4
=15/8 × 10/7 × 4
=150/56 × 4
=600/56
=75/7-3/8r + 41 = -22 solve for r
Answers
Answer:
r=168
Step-by-step explanation:
Calculate the standard deviation of the volume of water at a temperature of 25°C.
Answers
Answer:
0.01
Step-by-step explanation:
Water is non viscous liquid and it has less density. The measure volume of water is 10.03 ml at 25 degree Celsius which is used to identify the standard deviation of the water.
Average volume of water 10.03ml.
Standard deviation is 0.0001 + 0.0001
Standard deviation is [tex]\sqrt{0.0002}[/tex] = 0.01.
Find the equation of a line that is parallel to the line y = 3x and contains the point (1, -2).
e
y=(Type your answer in slope-intercept form.)
st
Answers
Answer:
y = 3x - 5
Step-by-step explanation:
Slope-Intercept Form: y = mx + b
Step 1: Define variables
Slope m = 3
Random point (1, -2)
Step 2: Plug in known variables
y = 3x + b
Step 3: Find b
-2 = 3(1) + b
-2 = 3 + b
b = -5
Step 4: Write parallel linear equation
y = 3x - 5
Supervisor: "Representatives can credit a customer's account up to 20% of the full
amount due on the bill."
Representative: "My customer is threatening to leave our company. The customer's
bill is $333.00. I could offer the customer a credit of
$40.00
$48.00
$55.00
$60.00
$66.60
Answers
Answer:
$66.6
Step-by-step explanation:
Given that,
The customer's bill is $333.00. Representatives can credit a customer's account up to 20% of the full amount due on the bill.
We need to find 20% of $333 as follows :
[tex]=20\%\ \text{of}\ 333\\\\=\dfrac{20}{100}\times 333\\\\=\$66.6[/tex]
Hence, I could offer the customer a credit of $66.6. Hence, the correct option is (E).