Answers
Answer:
67°
Step-by-step explanation:
Corresponding angles are equal in parallel lines.
Here, ∠acb and ∠aed are corresponding angles for lines bc and de
hence ∠aed = ∠acb = 39
in triangle ade,
x + 74 + 39 = 180 (angle sum property of a triangle)
x = 67°
Related Questions
Lillian and Isabella went shopping for school supplies. Lillian found her favorite notebook on sale so she bought three of the exact same notebook. Isabella also wanted a notebook. She bought one of the same notebooks that Lillian bought. Both girls started shopping with the same amount of money. If Lillian spent all of her money and Isabella had $5 left, how much money did each girl have when she arrived at the store? please show your work/steps
Answers
Answer:
Each girl had $7.50 when they arrived.
Step-by-step explanation:
We have to figure out what c (cost of each notebook) is first before we find out how much money each girl had. We also know they have the same money, so both sides are connected. The equation should be: 3x = x + 5.
3x = x + 5
First, subtract x from both sides. This cancels out the addition by x.
3x - x = 5
Now, subtract x from 3x. This equals 2x.
2x = 5
To cancel out the multiplication by 2, divide both sides by 2.
x = 5/2
Lastly, divide 5 by 2 to get 2.5.
x = 2.5
Substitute x for 2.5 in the earlier equation (3x = x + 5)
3(2.5) = 2.5 + 5
First, multiply 3 by 2.5 to get 7.5.
7.5 = 2.5 + 5
Add 2.5 to 5 to get 7.5.
7.5 = 7.5
Both sides are equal so we have our answer. So, both girls had $7.50 when they arrived at the store.
Recall that the volume of a sphere is given by the formula V = 4/3pi to the 3rd
1. Here is a sphere with radius 4 feet. What is the volume of the sphere? Express your answer in
terms of pi.
2. A spherical balloon has a diameter of 4 feet. Approximate how many cubic feet of air this
balloon holds. Use 3.14 as an approximation for it, and give a numerical answer
Answers
9514 1404 393
Answer:
1. (256/3)π ft³
2. 33.49 ft³
Step-by-step explanation:
1. Put 4 ft into the formula where r is, then simplify.
V = (4/3)π(4 ft)³ = (256/3)π ft³
__
2. The radius is half the diameter, so is 2 ft. Put that in the formula, along with the value for π, and do the arithmetic.
V = (4/3)(3.14)(2 ft)³ ≈ 33.49 ft³
solve for f(-1), f(x)=-3+3, f(-1)=?
Answers
Answer:
0
Step-by-step explanation:
If there are two boys to every three girls, what percent of the class is girls?
Answers
describe the transformations needed to translate the graph y=1/x to the graph of y=1/x+3 -4
Answers
i cant describe but i put y=1/x+3 -4 on the graph hope this helps
Answer:
to the left 3 and down 4
Step-by-step explanation:
RGRRGRGRGRGRG THIS IS ONLY FOR idunno9 GHRGRGRGRFERRGRGRGRGRGRGRGRR
Answers
Answer: thanks
Step-by-step explanation:
Guys I need help what is 6 divided by 398
Answers
A penguin starts at 15 meters above sea level and ends at 7 meters below sea level. What is the change in elevation?
Answers
Answer:
22 meters
Step-by-step explanation:
If the penguin goes from 15 meters above sea level to sea level (0 meters), they traveled 15 meters in elevation.
Then they traveled another 7 meters when going 7 meters below sea level.
15 + 7 = 22
Hope this helps :)
the diameter of a circle is 7 m. find its area and perimeter.Answer fast!!!!!
Answers
Answer:
Area≈38.48m²
perimeter≈43.98
Pls help I’ll brainlest for the correct answer
Answers
Answer:
3+11a=80
Step-by-step explanation:
3+11a=80
11a=77
a=7
This system has ______ solutions
Answers
Answer:
No solution because the lines are parallel and never intersect. If it were two perpendicular lines the solution would be where the two lines intersect.
Step-by-step explanation:
Answer:
Zero solution
Step-by-step explanation:
it is amazing. Thank alot :)
14. Given f(x) = x - 3 and g(x) = 4x, find g(f(6)).
A. 3
B. 21
Cu 12
D. 24
Answers
9514 1404 393
Answer:
C. 12
Step-by-step explanation:
g(f(6)) = g(6 -3) = g(3) = 4(3)
g(f(6)) = 12
A supermarket has found that the relationship between a day's high temperature and the amount of money taken in on that day from frozen yogurt sales can be modeled by the equation y = 4x + 164, where x is the high temperature in degrees Fahrenheit and y is the amount taken in from frozen yogurt sales in dollars. Which of these statements is true according to the model?
Answers
Answer:
On a day when the high temperature is 79° F, the supermarket can expect to take in $380 in frozen yogurt sales.
Step-by-step explanation:
What is the face value of 2 in the number 286?
Answers
Answer:
200 or 2 I guess
Step-by-step explanation:
Ion really get wym by “ what is the face”
find the slope of the line
Answers
(8-4)/(8-4) and it would be 1.
the slope is 1
Answer:
The slope of the line is: 1
Step-by-step explanation:
Use the equation
[tex] \frac{y2 - y1}{x2 - x1} [/tex]
Use the two sets of points given to you to slve the equation.
Assign the points their variables:
x1 y1 x2 y2
(4, 4) (8, 8)
Insert the numbers into the equation:
[tex] \frac{8 - 4}{8 - 4} [/tex]
Simplify:
[tex] \frac{4}{4} = 1[/tex]
3*f(-4)-3*g(-2)=???
Khan Academy
Answers
The value of the given function is 6
Functions and valuesGiven the following expression 3*f(-4)-3*g(-2), to find the values, we can assume that;
f(-4) = 10g(-2) = 8Substitute the given parameters into the expression to have:
3*f(-4)-3*g(-2)
= 3((10) - 3(8)
= 30 - 24
= 6
Hence the value of the given function is 6
Learn more on function here: https://brainly.com/question/17431959
Answer:
khan academy the answer is -27
Give the system of inequalities x-2y=15. 2x+4y=-18 what are x and y
Answers
Answer:
For x-2y=15, it's x= 15 + 2y. For 2x+4y=-18, it's x= -9-2y.
Step-by-step explanation:
awser the circled question
Answers
Answer:
7.5
Step-by-step explanation:
if one square is unit then use area formula for a right triangle which is 1/2bh
since height is 5 and base is 3, 5*3= 15 and 15/2= 7.5
hope this helps
Selena earned $4,283.30 last month. She used of her earnings to pay her bills. With the remaining money, she
bought two shirts for $19.99 each and a pair of sunglasses for $12.99. How much money does Selena have left from last
month's earnings?
Answers
Answer:
$4,256.31
Step-by-step explanation:
4,283.30 - 2(19.99) + 12.99 = x
Initial value (last month's earnings) - the two shirts, which were both 19.99 and the pair of sunglasses, which were 12.99.
4256.31 = x
Plsssss help plssss ASAP plssss I beg u plsssssssssssssssssssss it’s so hard :((((
Which situation is a true statement about payment options?
CLEAR CHECK
A) An advantage of online banking is that you do not need to keep detailed records when paying bills.
B) Paying with a credit card means the amount you spend will be deducted from your checking account.
C) Keeping track of your debit card transactions will help avoid charges resulting from insufficient funds.
D) To avoid paying interest on your credit card purchases, pay only part of your balance each month.
Answers
Answer:
c
Step-by-step explanation:
Find the equation of a line which has:
slope of -2 and
crosses the y-axis at 5
in slope-intercept form
Answers
Answer:
y = -2x + 5
Step-by-step explanation:
Recall that slope-intercept form is y = mx + b where m is the slope and b is the y intercept
In this case our slope is m = -2
and, line crosses y-axis at 5 which is b = 5
thus, y = -2x + 5
Kate had $140. She spent
2/5 of it. What amount did she spend?
Answers
= 56
So Kate spent $56
The amount Kate spent $ 56 of the $ 140 she had.
To find out how much Kate spent, we need to calculate 2 / 5 of the total amount she had, which was $ 140.By multiplying fractions we mean the product of a fraction with another number or a fraction. The product of such multiplication could be a fraction or a whole.
To do this, we can multiply $ 140 by the fraction 2 / 5:
= $ 140 * 2 / 5
= $280 / 5
= $ 56
Therefore, Kate spent $ 56 of the $ 140 she had.
To know more about amount click here :
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Estimate the sum or difference.
7/8-1/5
Answers
Answer:27/40
Step-by-step explanation:
7/8-1/5
35/40-8/40=27/40
The nth term of a different sequence is 2n2 - 4
Find the 3rd term of this sequence.
Answers
18-4 is 14
Its 14
A new linear road is planned to be constructed perpendicular to an existing one. On a representative grid, a surveyor determines that the existing linear road passes through the points LaTeX: (4,7)( 4 , 7 ) and LaTeX: (2,15)( 2 , 15 ). The roads must intersect at the point LaTeX: (4,7)( 4 , 7 ).
(a) Determine the slope of the new road.
(b) Determine the equation of the new road.
Answers
a) The slope of the new road is given by m = -4
b) The equation of line is y = -4x + 32
What is an Equation of a line?The equation of a line is expressed as y = mx + b where m is the slope and b is the y-intercept
And y - y₁ = m ( x - x₁ )
y = y-coordinate of second point
y₁ = y-coordinate of point one
m = slope
x = x-coordinate of second point
x₁ = x-coordinate of point one
The slope m = ( y₂ - y₁ ) / ( x₂ - x₁ )
Given data ,
Let the equation of line be represented as A
Now , the value of A is
Let the first point be represented as P ( 4 , 7 )
Let the second point be represented as Q ( 2 , 15 )
Now , the slope is m = ( y₂ - y₁ ) / ( x₂ - x₁ )
Substituting the values in the equation , we get
Slope m = ( 15 - 7 ) / ( 2 - 4 )
Slope m = 8 / -2
Slope m = -4
Now , the equation of line is y - y₁ = m ( x - x₁ )
Substituting the values in the equation , we get
y - 4 = ( -4 ) ( x - 7 )
On simplifying the equation , we get
y - 4 = -4x + 28
Adding 4 on both sides of the equation , we get
y = -4x + 32
Hence , the equation of line is y = -4x + 32
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Given the equation 14 - 4x = 26
Answers
Answer:
-3
Step-by-step explanation:
can you mark me brainliest
Answer:
x=-3
Step-by-step explanation:
14-4x=26
-14 -14
-4x=12
/-4 /-4
x=-3
(-2+6y+3x)(-3) distributive property to remove the parentheses
Answers
Answer:
6-18y-9x
Step-by-step explanation:
Will give brainliest
Answers
Answer:
PR= 8
ST=5
Step-by-step explanation:
PQ and PR are congruent so
2x=8
x=4
2*4=8
PR=8
ST and TU are congruent so
5z=2z+3
3z=3
z=1
5*1=5
ST=5
Answer:
PR=8
ST=5
Step-by-step explanation:
PR
QS=SR (marked)
a²=b²+c² (TRIANGLE PQS)
PQ²=PS²+QS²
8²=PS²+SR² (PQ=8, QS=SR)
64=PS²+SR²
a²=b²+c² (TRIANGLE PRS)
PR²=PS²+SR²
(2x)²=64
2x=8
x=4
PR=2x=2(4)=8
ST
a²=b²+c² (TRIANGLE VUT)
VT²=TU²+UV²
VT²=(2z+3)²+UV²
VT²=4z²+12z+9+UV²
a²=b²+c² (TRIANGLE VST)
VT²=VS²+ST²
VT²=VS²+25z²
4z²+12z+9+UV²=VS²+25z²
21z²-12z-9=0
7z²-4-3=0
(7z+3)(z-1)=0
z=-3/7 or z=1
cant be neg, z=1
ST=5(1)=5
There are 120 people in a sport centre. 78 people use the gym. 46 people use the swimming pool. 45 people use the track. 21 people use the gym and the pool. 16 people use the pool and the track. 24 people use the gym and the track. 9 people use all three facilities. A person is selected at random. What is the probability that this person doesn't use any facility?
Answers
43/120 ≈ 0.3583
Step-by-step explanation:
Adding up the folks who use two facilities counts the folks who use all three 3 times. So, the number who use two or more facilities is ...
21 +16 +24 -2(9) = 43 . . . . people who use 2 or more facilities
The probability that a person chosen randomly from the 120 at the sports center uses at least 2 facilities is ...
43/120 ≈ 0.3583
_____
The given numbers add up as follows:
Gym only: 42
Pool only: 18
Track only: 14
Gym and Pool only: 12
Gym and Track only: 15
Pool and Track only: 7
Gym and Pool and Track: 9
No facilities: 3
what is 1/9+3/5= what is the fraction
Answers
Hope this helps!!!!!
Answer:
32/45
Step-by-step explanation:
