Answers
Answer: 42° and 138°
Steps: First find value of x by adding both equations and setting them equal to 180°:
3x + 12x - 30 = 180
15x - 30 = 180
15x = 210
x = 14
Next, put value of x into equations to find the angle:
3x
3(14)
42°
12x - 30
12(14) - 30
168 - 30
138°
11. Answer: 28°
Steps: Complementary angles add up to 90°, so subtract 62° from 90° to find its complementary angle.
90 - 62 = 28
12. Answer: Corresponding angles are congruent.
Related Questions
find the value power of 3^4
Answers
Answer:
81
Step-by-step explanation:
3 ^4 =3 ×3 ×3 ×3 =81
Find two consecutive whole numbers that 56 lies between.
(NEED ASAP PLEASE !!)
Answers
3a+8+2ax≥3ax-4a what is a
Answers
Answer:
A=3 I'm 95% sure but if you're not sure then use PEMDAS
P-parentheses
E-exponets
M-multiply
D-divide
A-add
S-subtract
Convert to use rational exponents: [tex]\sqrt[3]{2}\sqrt[5]{2}[/tex]
Answers
Given: Lines a and b are parallel and line c is a transversal. Prove: 2 is supplementary to 8 What is the missing reason in the proof? Statement Reason 1. a || b, is a transv 1. given 2. ∠6 ≅ ∠2 2. ? 3. m∠6 = m∠2 3. def. of congruent 4. ∠6 is supp. to ∠8 4. def. of linear pair 5. ∠2 is supp. to ∠8 5. congruent supplements theorem corresponding angles theorem alternate interior angles theorem vertical angles theorem alternate exterior angles theorem
Answers
Answer:
vertical angles theorem
Step-by-step explanation:
Just took the test
Answer:
A. corresponding angles theorem
Step-by-step explanation:
68% if the School of the Art Institute of Chicago's 3221 students are
female. How many of the students are women? *
Answers
Answer:1933
Step-by-step explanation:
I NEED HELPPPP
Complete the remaining columns in the chart by calculating the missing values for each
category. Round your percentages to the nearest tenth of a percent. (16 points)
Answers
Answer:
Step-by-step explanation:
Income tax = 9.8%
Housing = [tex]\frac{11400}{48900}\times 100[/tex]
= 23.3%
Food = [tex]\frac{7800}{48900}\times 100[/tex]
= 16.0%
Clothing = [tex]\frac{900}{48900}\times 100[/tex]
= 1.8%
Transportation = [tex]\frac{6000}{48900}\times 100[/tex]
= 12.3%
Insurance and medical = [tex]\frac{14400}{48900}\times 100[/tex]
= 29.5%
Entertainment = [tex]\frac{1200}{48900}\times 100[/tex]
= 2.5%
Emergency funds = [tex]\frac{600}{48900}\times 100[/tex]
= 1.2%
Savings for college = [tex]\frac{600}{48900}\times 100[/tex]
= 1.2%
Savings for retirement = [tex]\frac{1200}{48900}\times 100[/tex]
= 2.5%
Total = 100%
Answer:
Income tax = 9.8%
Housing =
= 23.3%
Food =
= 16.0%
Clothing =
= 1.8%
Transportation =
= 12.3%
Insurance and medical =
= 29.5%
Entertainment =
= 2.5%
Emergency funds =
= 1.2%
Savings for college =
= 1.2%
Savings for retirement =
= 2.5%
Total = 100%
Step-by-step explanation:
Solve the system of equations using the tables below
Answers
Answer:
(x, y) = (0, 3)
Step-by-step explanation:
(x, y) = (0, 3) is in both tables. Hence, that point is a solution to the system of equations.
Determine whether the given ordered pair is a solution to the system of equations.
Yes or no?
(6,-1)
x-y=3
2x+5y=6
Answers
Solution:
Substitute the values of x & y into the first equation
6 -(-1) = 3
6 + 5 is NOT equal to 3
Therefore we can say this is not true
For this to be true, when substituting the values of x & y, the equation must be true for BOTH equations. Since it’s not true for the first equation it doesn’t matter if it’s true or not for the other equation.
I hope this helps!
Find the coordinates of point P that partition AB in the
ratio 1:4.
Please give explanation
Answers
Answer:
(1.6, 0)
Step-by-step explanation:
Point P, partitioning AB in the ratio 1:4, implies that it divides AB into, AP and PB, such that AP to PB = 1:4.
Use the formuka below to find the coordinates of point P:
[tex] x = \frac{mx_2 + nx_1}{m + n} [/tex]
[tex] y = \frac{my_2 + ny_1}{m + n} [/tex]
Where,
[tex] A(1, -1) = (x_1, y_1) [/tex]
[tex] B(4, 4) = (x_2, y_2) [/tex]
[tex] m = 1, n = 4 [/tex]
Solve by plugging the above values where necessary as follows:
[tex] x = \frac{mx_2 + nx_1}{m + n} [/tex]
[tex] x = \frac{1(4) + 4(1)}{1 + 4} [/tex]
[tex] x = \frac{4 + 4}{5} [/tex]
[tex] x = \frac{8}{5} [/tex]
[tex] x = 1.6 [/tex]
[tex] y = \frac{my_2 + ny_1}{m + n} [/tex]
[tex] y = \frac{1(4) + 4(-1)}{1 + 4} [/tex]
[tex] y = \frac{4 - 4}{5} [/tex]
[tex] y = \frac{0}{5} [/tex]
[tex] y = 0 [/tex]
The coordinates of P that partitions AB into the ratio 1:4 are (1.6, 0)
Density is calculated by dividing the mass by volume. A student measures the mass of an 8 cm3 object as 12.9g. What is the density of the object to the nearest tenths with proper units?
a.) 2 g/cm3
b.) 1.61 g/cm3
c.) 1.5 g/cm3
d.) 1.6 g/cm3
Answers
Density= mass/volume
12.9g/8cm3= 1.6 g/cm3
MATH PLEASE HELP
heeeeeeeelp
Answers
Ms. bell has a 256 ounce bag of potting soil. what is the greatest number of 6 ounce pots she can completly fill with soil
Answers
Answer:
41 bags
Step-by-step explanation:
256 divided by 6 equals 42.6666667 but that is not a whole pot
factorize6 + 13mn + 7mn?
Answers
☽------------❀-------------☾
Hi there!
~
Let's simplify step-by-step.
[tex]6 + 13mn + 7mn[/tex]
Combine Like Terms:
[tex]= 6 + 13mn + 7mn\\= (13mn+ 7mn) + (6)\\= 20mn + 6[/tex]
❀Hope this helped you!❀
☽------------❀-------------☾
Martha has 90 red tiles and 72 yellow tiles. She wants to place the tiles in rows using one color for each row without having any tiles left
over. Each row must have the same number of tiles. What is the greatest number of tiles Martha can use for each row?
Answers
Answer:
18 tiles
Step-by-step explanation:
If she wants to find the greatest number of tiles for each row, she will want to use up all the tiles. This means we are looking for the highest common factor between the numbers 90 and 72, so all the tiles can be used up in the rows. In order to find the highest common factor we multiply together all the common prime factors between the two:
90 has the prime factors 2x3x3x5
72 has the prime factors 2x2x2x3x3
The prime factors that are common to both are 2, 3 and 3 which multiply together to get:
2x3x3 = 18
The greatest number of tiles Martha can use for each row is 18 and would result in 5 rows of red tiles and 4 rows of yellow tiles.
Hope this helped!
Convert 30 pages/hour to pages/day.
Answers
| 24hours
So...
30\24= 1.25 pages/day
Would the answer be 250 ?
Answers
Rewrite 8 3/4 as an improper fraction.
A. 35/4
B. 28/3
C.35/8
D.32/4
Answers
Answer:
35/4
Step-by-step explanation:
multiply 8 by 4, add the 3
Answer:
the answer is C
Step-by-step explanation:
768 pages in 8 days = _____ pages per day
Answers
(I hope this helps)
If f(x) = 6x and g(x) = 4x+1, find (fog)(x).
Answers
Answer:
a) 24x+6
Step-by-step explanation:
What is ZT?
4x + 1
W
Х
2x
T
Z
Y
5x - 6
A 7
B. 14
C. 28
D. 29
Answers
Answer:
2x+14=12
Step-by-step explanation:
when you look the figure you can see the 2 arrows on the side which means they are constant and so you go on the xY and do 5x-6+4x+1 and solve
The value of the variable x is 7. Then the length of the line segment ZT will be 7 units.
What is a parallelogram?It is a polygon with four sides. The total interior angle is 360 degrees. A parallelogram's opposite sides are parallel and equal.
The parallelogram WXYZ is shown.
We know that the opposite sides of a parallelogram are congruent to each other. Then we have
YZ = WX
5x - 6 = 4x + 1
5x - 4x = 1 + 6
x = 7
Then the length of the ZT will be
ZT = 2x / 2
ZT = x
ZT = 7
The value of the variable x is 7. Then the length of the line segment ZT will be 7 units.
More about the parallelogram link is given below.
https://brainly.com/question/1563728
#SPJ2
The volume of a cylinder is 675π cm3. The radius of the base of the cylinder is 5 cm. What is the height of the cylinder?
Answers
Answer: 27 cm
Step-by-step explanation:
We know that the volume of a cylinder is [tex]V=\pi r^2h[/tex]. Since we were given the volume and radius, we can plug them in and solve for height.
[tex]675\pi =\pi (5^2)h[/tex] [divide both sides by π]
[tex]675 = (5^2)h[/tex] [exponent]
[tex]675=25h[/tex] [divide both sides by 25]
[tex]h=27[/tex]
Now, we know that the height is 27 cm.
Evaluate –3^2+ (2 – 6)(10
Answers
9 + (-4)(10)
9 + (-40)
9 - 40
-31
Hope this is correct and that it helps :)
Simplify: 6 (4x - 5)
Answers
Answer:
=24x−30
Step-by-step explanation:
=(6)(4x+−5)
=(6)(4x)+(6)(−5)
=24x−30
Answer:
6 (4x - 5)
24x -30
i think question is not complete
Step-by-step explanation:
-200 + {37}{3}4.5) -200 + 55.5
Answers
Answer:
-294.55
Step-by-step explanation:
-200+ 49.95 -200 +55.5
49.95+55.5-200-200
-294.55
Rosa is putting carpet in her room. She’s using the scale 1 inch = 3 ft . In the drawing, the length is 5.5 inches and the width is 3.25 inches. If carpet costs 2.58 per square foot, how much will it cost to carpet the bedroom?
Answers
Given :
Rosa is putting carpet in her room. She’s using the scale 1 inch = 3 ft .
In the drawing, the length is 5.5 inches and the width is 3.25 inches. If carpet costs 2.58 per square foot.
To Find :
How much will it cost to carpet the bedroom.
Solution :
Length of bedroom , l = 5.5 × 3 = 16.5 ft.
Width of bedroom , w = 3.25 × 3 = 9.75 ft.
SO, area of bed room is :
[tex]A=l\times w\\\\A=16.5\times 9.75\ ft^2\\\\A=160.875\ ft^2[/tex]
Now, cost to carpet the bedroom is :
[tex]C=2.58\times A\\\\C=2.58\times 160.875\\\\C=415.0575[/tex]
Hence, this is the required solution.
A line has a slope of 2 and passes through the point ( -1, 3). Write an equation in slope intercept form
Answers
Answer:
y=2x+5
Step-by-step explanation:
The equation of a line in slope intercept form is written as: y=mx +b where m is the slope and b is the y-intercept.
Taking point (-1,3) , m= 2 and imaginary point on the line, (x,y) then ;
m=change is y-coordinates/change in x-coordinate
m=Δy/Δx
m=y-3/x--1
2= y-3 / x+1
2(x+1) = y-3
2x +2 =y-3
2x=y-3-2
2x=y-5
y=2x+5 is the equation.
Answer:b
Step-by-step explanation:
A square serving platter has an area of 49cm2. What is the side length?
Answers
Answer:
the answer is 7 because the square of 49 is 7 and it asks for the side to equal it.
Step-by-step explanation:
find the value of x when lines w and v are parallel.
Answers
Answer: B. 17
Step-by-step explanation:
4x-3 = 65
Add 3 on both sides
4x = 68
Divide by 4 on both sides
x = 17
BOOM!
Answer:
B) 17
Step-by-step explanation:
Solve the equation 4(0.2*-5)=12
Answers
Hey there!
[tex]Answer:\boxed{\text{FALSE}}[/tex]
[tex]Explanation:[/tex]
[tex]4(0.2\times-5)=12[/tex]
This equation is false because the value of 4(0.2 * -5) is not equal to 12.
Hope this helps!