Answer:
a = 55
b = 13
c = 8
Step-by-step explanation:
2a - 5 = 105° (alternate exterior angles are congruent)
Add 5 to both sides
2a - 5 + 5 = 105 + 5
2a = 110
Divide both sides by 2
2a/2 = 110/2
a = 55
(2a - 5) + (5b + 10) = 180° (consecutive interior angles/same side interior are supplementary)
Plug in the value of a
2(55) - 5 + 5b + 10 = 180
110 - 5 + 5b + 10 = 180
Add like terms
115 + 5b = 180
Subtract 115 from each side
115 + 5b - 115 = 180 - 115
5b = 65
Divide both sides by
5b/5 = 65/5
b = 13
10c - 5 = 5b + 10 (corresponding angles are congruent)
Plug in the value of b
10c - 5 = 5(13) + 10
10c - 5 = 65 + 10
10c - 5 = 75
Add 5 to both sides
10c - 5 + 5 = 75 + 5
10c = 80
Divide both sides by 10
10c/10 = 80/10
c = 8
Suppose a 5-mintue overseas call costs 6.45 and a 10-minute calls costs 11.40. The cost of a call and the length of a call care related. Write an equation to show the cost of a call for any duration. Approximately how long can you talk on the phone if you have $51 to spend?
Answer:
The Equation for this is given as
C = $0.99x + $1.50
Where x = number of minutes
C = Cost of the call
If you have $51 to spend , the duration of the call is approximately 50 minutes
Step-by-step explanation:
Step 1
The difference in the cost of the calls is calculated as:
$11.40 - $6.45
= $4.95
The cost for a 5 minute call is calculated as:
$4.95 ÷ 5 = $0.99
Extra charges for the 5 minutes call =
$6.45 - $4.95 = $1.50
The Equation for this is given as
C = $0.99x + $1.50
Where x = number of minutes
C = Cost of the call
If you have $51 to spend, the number of minutes you would get is :
$51 = $0.99x + $1.50
$51 - $1.50 = 0.99x
$49.50 = 0.99x
x= $49.50/0.99
x = 50 minutes
Therefore, If you have $51 to spend , the duration of the call is approximately 50 minutes.
36 even : 12 odd
Write the ratio as a fraction in simplest form.
The proportion is given by the equation 36/12 = 3 / 1 or 3 : 1
What is Proportion?The proportion formula is used to depict if two ratios or fractions are equal. The proportion formula can be given as a: b::c : d = a/b = c/d where a and d are the extreme terms and b and c are the mean terms.
The proportional equation is given as y ∝ x
And , y = kx where k is the proportionality constant
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Given data ,
Let the proportion equation be represented as A
Now , the equation will be
Let the first number be represented as p = 36
Let the second number be represented as q = 12
Now , the proportion A = p / q
Substituting the values in the equation , we get
A = 36 / 12
On simplifying the equation , we get
A = 3 / 1
Therefore , the value of A is 3 : 1
Hence , the proportion is 3 : 1
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MARKING BRAINLIEST FOR HELP
Answer: -4.75
Step-by-step explanation: YOU OR YOUR PARENTS VOTE BIDEN! TRUMP KILLED 223,000 PEOPLE AND HE STILL DOES NOT CARE! HE SAYS WE ARE ROUNDING THE CORNER. HE CAN NOT EVEN HAND OUT STIMULUS TO DYING BUISNESSES AND AIRLINES!
Answer:
the answer is 3/4
Step-by-step explanation:
I know this anser
Hannah has an aquarium with 25 liters of water in it. How many milliliters of water are in the aquarium?
Answer:
25,000 milliliters
Can someone please answer these two questions? I put a picture.
Answer:
14. y = x - 6
15. [tex]y = -\frac{1}{2}x-5[/tex]
Step-by-step explanation:
Slope-intercept form is y = mx + b where:
"m" is the slope
"b" is the y-intercept
"x" and "y" are points on the graph.
For each question,
Find the slope by counting rise over run between two points Find the y-intercept by where the graph hits the y-axis Substitute the slope and y-intercept into y = mx + b
14.
Slope:
Two points are (6, 0) and (7, 1).
[tex]m= \frac{rise}{run} \\=\frac{1}{1}\\= 1[/tex]
Y-intercept:
b = -6
y = 1x - 6
We don't need to write the 1.
∴ The equation is y = x - 6
15.
Slope:
Two points are (-2, -4) and (0, -5).
[tex]m = \frac{rise}{run}\\=\frac{-1}{2}[/tex]
Y-intercept:
b = -5
∴ The equation is [tex]y = -\frac{1}{2}x - 5[/tex]
There were minty people at a Halloween party eighteen of the costumes were ghosts what percentenge of the people were dressed as fhosts
Answer:
ozark Paul pick icky office
Due later today! Please help!!
Jasmine drives every morning to her office that is 12 miles from her home.
If Jasmine's average driving speed is s mph, how many hours does it take her to drive from her home to the office?
Answer:
What is her MPH?
Step-by-step explanation:
The large rectangle's dimensions are three times the dimensions of the small rectangle.
a. How many times greater is the perimeter of the large rectangle compared to the perimeter of the small rectangle?
Question 2
b. How many times greater is the area of the large rectangle compared to the area of the small rectangle?
Question 3
c. Are the answers to parts (a) and (b) the same? Explain why or why not.
Question 4
d. What happens in parts (a) and (b) if the dimensions of the large rectangle are two times the dimensions of the small rectangle?
Answer:
The answer Is A! Hope you do Great!
Step-by-step explanation:
what do all unit rates have in common in maths
Answer:
A unit rate describes how many units of the first type of quantity corresponds to one unit of the second type of quantity. Some common unit rates are miles (or kilometers) per hour, cost per item, earnings per week, etc. In each case the first quantity is related to 1 unit of the second quantity.
Step-by-step explanation:
Answer:
A unit rate describes how many units of the first type of quantity corresponds to one unit of the second type of quantity. Some common unit rates are miles (or kilometers) per hour, cost per item, earnings per week, etc. In each case the first quantity is related to 1 unit of the second quantity.
Step-by-step explanation:
it's easy but plzz help me..
I will give u brainliest!!
Answer:
You can figure this out by measuring the 200 pages together and then divide by 200.
Step-by-step explanation:
Answer: Measure all the sheets together and divide by 200.
Step-by-step explanation: An average mean is the sum of something divided by how many things there are. In this case, it is the sum of the thickness of 200 pages, divided by the number of pages, 200.
x and y intercepts of 8y=9x-12
Answer:
x-intercept(s): ( 4 /3 , 0 )
y-intercept(s): ( 0 , − 3/ 2 )
Step-by-step explanation:
To find the x-intercept, substitute in 0 for y and solve for x .
To find the y-intercept, substitute in 0 for x and solve for y .
Answer: 3,9
Step-by-step explanation: divided it
Help!!!!!!!!!!!!!!!!!!!!!plz
Answer:
c-4 is less than or equal to -19
Step-by-step explanation:
Because it says the word difference you know that those those integers will be a subtracted.
How many half rests are in one whole rest?
2 half rests. 4 beats in a measure half that is 2 a whole rest is 4 beats long
Which expression best estimates 6-12
O 7-2
06-1
0 3-2
HELLP
Answer:
3-2is the sufficient way to form your calculations
I'm having a bit of trouble, think you can help me out?
Answer:
y=-5/4+3
Step-by-step explanation:
...............................................................................................................................................................................help.....................................................................................................................................................................................................................................................
Answer:
the 2nd one
Step-by-step explanation:
hope this helped!
p.s it would be cool if you would give me brainliest
classify the following system y = 5x + 3. Possible answers no solution, one solution or infinte solutions
Answer: Infinite solutions
Each of the four shapes represents a positive whole number. The sum of the shapes in each row and column is displayed at the end of each row and column. Using this information, determine the numerical value of each shape.
9514 1404 393
Answer:
A = pentagon = 6
B = 5-pointed star = 8
C = rectangle = 4
D = spiral = 3
Step-by-step explanation:
Starting in the upper left corner, name the shapes A, B, C, D clockwise in the 2×2 square in that corner. Then we have ...
A = pentagon
B = 5-pointed star
C = rectangle
D = spiral
__
It turns out to be convenient to look at rows and columns with two of each shape.
Row 2: 2(C+D) = 14 ⇒ C+D = 7
We can use that in column 2 to find B:
B +C +B +D = 23 ⇒ 2B +(C+D) = 23 ⇒ 2B = 16 ⇒ B = 8
This lets us find D:
Row 4: 3D +B = 17 ⇒ 3D +8 = 17 ⇒ 3D = 9 ⇒ D = 3
So, C can now be found:
C+D = 7 ⇒ C +3 = 7 ⇒ C = 4
Finally, we can find A:
Row 1: A +2B +D = 25 ⇒ A +2(8) +3 = 25 ⇒ A = 6
__
In summary, the numerical values are ...
A = pentagon = 6
B = 5-pointed star = 8
C = rectangle = 4
D = spiral = 3
. . . .. . . . . . . . . . . . . . . . . . . . . . . . . . .
distance formula, help pls
Answer:
[tex]d = 2\sqrt{10}[/tex]
Step-by-step explanation:
(4, 3) (6, 9)
[tex]d=\sqrt{(x_2-x_1)^{2} +(y_2-y_1)^{2} }[/tex]
[tex]d=\sqrt{(6-4)^{2} +(9-3)^{2} }[/tex]
[tex]d=\sqrt{(2)^{2} +(6)^{2} }[/tex]
[tex]d=\sqrt{(4 +36)}[/tex]
[tex]d=\sqrt{40} = 2\sqrt{10}[/tex]
is 60/15 a natural number
Answer:
YES
Step-by-step explanation:
NATRURAL NUMBERS ARE 1 AND UP NON DECIMAL
Kelan ate at his favorite restaurant, The Red Fish. He received excellent service from the waitstaff and decided to leave a 22% tip Before tip, his bill came to $60.
How much would the meal have cost in total, including tip?
$89.00
$46.80
$73,20
$13.20
Answer:
$73.20
Step-by-step explanation:
If he left a 22% tip and the meal cost $60 then we need to do 122% of 60
[tex]1.22*60=73.2[/tex]
Since it is money we add the 0 in the hundredths place and we get
[tex]73.20[/tex]
A yoga studio memberships that cost $54 per month for unlimited classes.the studio also accepts walk-ins,charging $3 per class. How many classes in a month will it take for the walk-in amount to cost the same as monthly membership
Answer:18 pretty sure
Step-by-step explanation:
if i’m right you just divide
18
Step-by-step explanation:
18 times 3 = 54
this is the answer
Haley’s recipe calls for 4.5 cups of an ingredient. Her measuring bowl only has measurements marked in liters. Hayley knows that one cup is approximately 2.4 liters. Which measurement is closes to the number of liters of the ingredient that Haley needs for her recipe?
A. 8.8 liters
B. 7.8 liters
C. 9.8 liters
D. 10.8 liters
Whats the slope?
Hurryyyyyyyyy
Answer: 3/4
Step-by-step explanation:
When you rise from the first point , it’s three spaces to get in the same line as the second point, then when you run to the right , you are moving four spaces to the right therefore the answer is 3/4
Mya is buying a purse online,that regularly cost $72 how much will she pay in total if she has a promo code for 25% off, plus free shipping and sales tax is 5.5
Answer:
$56.97
Step-by-step explanation:
Promo code of 25% off =
$72× 25%
= $18
= $72 - $18
= $54
Sales tax = 5.5% of 54
= $2.97
Maya is paying = $54 + $2.97
=$56.97
Jack is walking on a trail and comes to mile mark 5. If he continues walking for another mile, what is the next mile marker he will come to"? This problem has to possible solutions. Please explain the two possible solutions in 2-3 sentences. (One-two word phrases are not accepted).
Answer:
Mile marker 4 or mile marker 6
Step-by-step explanation:
You can think of this problem as a number line problem. The number line represents the trail he's walking on. If he starts at the mile marker 5 and moves to the right one mile, he will find that the next mile marker is 6. But if he moves left, he will find that the next mile marker is 4. See attached picture.
The ratio of dogs to cats at the pet store is 3 : 4. There are 21 total pets. How many cats are in the pet store? Hint: you may want to make a tape diagram.
Answer: 12 cats
Step-by-step explanation:
first add 3 and 4 together to get 7
divide 21 by 7 to get 3
if there are 4 cats out of 7 pets in the store, you should be able to multiply 4 by 3 to get the total amount of cats in the whole store to get 12
PLS ANSWER ASAP
Fine the missing measures:
EF:
angle of F is 134, why? Because each triangle is 180 degrees altogether.
Step-by-step explanation:
Which equation correctly applies the Pythagorean Theorem to solve for the missing side length?
Answer:
A^2+B^2=C^2
Step-by-step explanation:
You plug in the sides to A and B not C,Becuse you are trying to get C.C is called the Hypotenuse,That is what you are trying to figure out
Hope that helps
The equation correctly applies the Pythagorean Theorem is x² + 16² = 20 ².
What is Pythagoras Theorem?
If ABC is a triangle with AC as the hypotenuse and angle B with 90 degrees then we have:
|AC|^2 = |AB|^2 + |BC|^2
where |AB| = length of line segment AB. (AB and BC are rest of the two sides of that triangle ABC, AC being the hypotenuse).
Let's recall the Pythagorean theorem formula:
a² + b² = c²
Replacing by the values we have;
x² + 16² = 20 ²
Therefore, the correct answer is B.
The equation correctly applies the Pythagorean Theorem is x² + 16² = 20 ².
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I NEED ANSWER ASAP
Two pounds of peaches cost $450, 5 pounds cost $11.25, and 10 pounds cost $22.50 Show that the relationship between the number of pounds of peaches and the cost is a proportional relationship. Then write an equation for the relationship
The equation needs to be written in y=kx format using no spaces and no capital letters.
Answer:
y=2.25x
Step-by-step explanation:
4.50 ÷ 2 = 2.25 per pound
11.25 ÷ 5 = 2.25 per pound
22.50 ÷ 10 = 2.25 per pound
Proportional relationship as each pound cost $2.25, and will increase accordingly per pound.
constant of proportionality: 2.25
pounds: x
cost: y
y = kx
y = 2.25x
Answer:
Step-by-step explanation:
Y=2.25
Because 4.50/2 = 2.25
11.25/5 = 2.25
22.50/10 = 2.25