Answer:
The measure of a base angle of one of the triangles is 54°
Step-by-step explanation:
In the isosceles triangle, the angle between the two equal sides called the vertex angle and the other two angles are equal and called base angles
∵ The total number of degrees in the center is 360°
∵ All five vertex angles meeting at the center are congruent
→ To find the measure of each vertex divide 360° by 5
∴ The measure of each vertex = 360° ÷ 5
∴ The measure of each vertex = 72°
∵ The base angles are equal in the isosceles triangle
∵ The sum of the measures of the angles of a triangle is 180°
→ Assume that the measure of each base angle is x
∴ x + x + 72° = 180°
∴ 2x + 72° = 180°
→ Subtract 72 from both sides
∵ 2x + 72 - 72 = 180 - 72
∴ 2x = 108
→ Divide both sides by 2 to find x
∴ x = 54
∴ The measure of each base angle = 54°
∴ The measure of a base angle of one of the triangles is 54°
please help due in 2 min will give max points
Answer:
x = 4
Step-by-step explanation:
(7x - 2) + (3x + 9) = 10x + 7
(10x + 7) + (8x - 6) = 18x + 1
18x + 1 = 73
18x = 72
72/18 = x
x = 4
On a certain hot summer's 439 day, people used the public swimming pool. The daily prices are $1.75 for children and $2.50 for adults. The receipts for admission totaled $1021.00 How many children and how many adults swam at the public pool that day?
Answer:102 children and 337 adults swam at the publice pool that da
Step-by-step explanation:
let the number of children be x
and
the number of adults be y
such that the total number of people who came to use the public swimming pool be expressed as
x + y = 439----- Equation 1
and price for swimming be expressed as
1.75x + 2.50y =1021----- Equation 2
Step 2
x + y = 439----- Equation 1
1.75x + 2.50y =1021----- Equation 2
First make x the subject formulae and put in equation 2
x= 439-y
1.75 (430-y) + 2.50y = 1021
Solving gives
768.25-1.75y+2.50y=1021
2.50y-1.75y=1021-768.25
0.75y=252.75
y =252.75/0.75
y=337
To find x, put the value of y = 337 in equation 1
x+y= 439
x= 439-337
x=102
Therefore 102 children and 337 adults swam at the public pool that day
7(5a − 4) − 1 = 14 − 8a
Answer:
A=1
Step-by-step explanation:
7(5a-4)-1=14-8a
35a-28-1=14-8a
35a-29=14-8a
43a-29=14
43a=43
a=1
Answer:
41/43
Step-by-step explanation:
7(5a - 4) - 1 = 14 - 8a
35a - 28 - 1 = 14 - 8a
35a - 27 = 14 - 8a
35a + 8a = 14 + 27
43a = 41
a = 41/43
Hope this answer helps you
9. If the m
70 degrees what is the m
А
D
X
B
Answer:
110°
Step-by-step explanation:
<A + <B = 180 because these angles are supplementary
70 + <B = 180
<B = 110°
A large aquarium should contain 10,000 liters of water when it is filled correctly. Fish will get sick if the aquarium gets down to 4,000 liters or less. One day over the weekend, there is an accident, and the tank cracks in 4 places, causing water to empty out of the aquarium at a rate of 20.5 liters per hour. The aquarium workers did not catch the leaks until 2 days later. How much water was left in the tank when the aquarium workers finally caught the leak? Based on the level of water, were fish sick?
Answer:
9016 litres left
Step-by-step explanation:
The fish were not sick.
You would multiply 20.5 by 48 which is the amount of hours in 2 days then subtract that amount from 10000 to see how much is left
Write an inequality that represents the graph.
Answer:
y>2x+1
Step-by-step explanation:
what’s 1/50 rounded to the nearest 100
Answer:
*Under the assumption you mean "What's 1.50 rounded to the nearest 100th"*
1.50<====
Step-by-step explanation:
Looks like a trick question. The first number after the decimal is a tenth, the next one a hundredth. There is no thousandth to round up the hundredth and so the number is already rounded.
Brainlist please
Skibidi bop mm dada B O O M
Answer:
1/50 = 0.02
Rounded to the nearest 100th, it's 0.02.
Rounded to the nearest 100, it's 0.
When the U.S. government needed 10,000 rifles for the army, Eli Whitney applied for the contract. He took several guns, dismantled them, put the pieces in a box, and shook it. He then randomly selected the pieces he needed, assembled on rifle, and fired it. What did he demonstrate
Answer:
interchangeable parts.
Step-by-step explanation:
Eli Whitney here demonstrates interchangeable parts.He took several guns, dismantled them, put the pieces in a box, and shook it. He then randomly selected the pieces he needed, assembled on rifle, and fired it. popularized in America when Eli Whitney used them to assemble muskets in the first years of the 19th century, allowed comparatively unskilled workers to manufacture vast quantities of arms rapidly and at lower expense, and made repair and replacement of parts exponentially simpler.
Ben is 39 3939 years old and Ishaan is 3 33 years old. How many years will it take until Ben is only 4 44 times as old as Ishaan?
Answer:
what ? what is this i dont understand
A local company employs a varying number of employees each year, based on its needs. The labor costs for the company
include a fixed cost of $44,604.00 each year, and $27,396.00 for each person employed for the year. For the next year, the
company projects that labor costs will total $1,715,760.00. How many people does the company intend to employ next year?
OA. 731
OB. 61
O C. 125
OD. 31
Answer:
i think the awnser would be B Or d best of luck hope this helps
A personal identification number (PIN) consists of 3 numbers 0 – 9. What's the probability someone's PIN number consists of only 1 number. For example 000, 111, 222, etc.
Answer: [tex]0.34[/tex]
Step-by-step explanation:
given data:
numbers contained in pin = 3
numbers pin can be gotten from = 0-9
solution:
0,1,2,3,4,5,6,7,8,9 = 10
probability the pin consist of only 1 number
[tex]= \frac{1}{10} + \frac{1}{9} + \frac{1}{8} \\\\[/tex]
[tex]= \frac{121}{360} \\[/tex]
[tex]= 0.34[/tex]
14.8 - 4b - (17.1-3b)
Answer:
-3.3
Step-by-step explanation:
A retailer (GameStop, Target, or other stores) will receive 23% of the sale price of a video game. If a retailer sells a video game for $60.00, how much money will the retailer receive?
Answer:
$13.80
Step-by-step explanation:
23% of 60 = .23 x 60
(-3f+9)-(2-6f) what’s the answer
Answer:
jhi
Step-by-step explanation:
Answer:
3f+7
Step-by-step explanation:
-5w-5(-4z +2w) + 5z
what is the answer
Answer:
−15w+25z
Step-by-step explanation:
Let's simplify step-by-step.
−5w−5(−4z+2w)+5z
Distribute:
=−5w+(−5)(−4z)+(−5)(2w)+5z
=−5w+20z+−10w+5z
Combine Like Terms:
=−5w+20z+−10w+5z
=(−5w+−10w)+(20z+5z)
=−15w+25z
Answer:
-15w + 25z
General Formulas and Concepts:
Pre-Algebra
Distributive PropertyAlgebra I
Combining Like TermsStep-by-step explanation:
Step 1: Define
-5w - 5(-4z + 2w) + 5z
Step 2: Simplify
Distribute -5: -5w + 20z - 10w + 5zCombine like terms: -15w + 25zCan someone help? Image attached is the answer.
Answer:
I believe the answer is D)
Step-by-step explanation:
I really hope this helps
UwU
Answer:
slope intercept form:
y=mx+b where m is the slope and b is the y intercept.
The y intercept is where the line crosses the y axis which in this example is at (0, 2). The y intercept is 2. The slope can be found by plugging in the x and y values of any 2 points on the line into the equation: y2 - y1 / x2- x1:
y2 - y1 / x2- x1
4-2 / 5-0
2/5 is the slope
therefore, y=2/5x+2 is the equation
D is correct
Step-by-step explanation:
Grace rakes leaves everyday for one week. She fills the same number of bags with leaves on each of the 5 weekdays. She fills 11 bags over the weekend. At the end of the week, Grace has filled a total of 26 bags. She wants to know how many bags she filled each weekday.
Answer:
3 bags per weekday
Step-by-step explanation:
Total bags of leaves at the end of the week = 26 bags
Bags of leaves she fills over the weekend = 11 bags
Bags of leaves she fills during weekdays = x bags
Total bags of leaves at the end of the week = Bags of leaves she fills over the weekend + Bags of leaves she fills during weekdays
26 = 11 + x
Subtract 11 from both sides
26 - 11 = 11 - 11 + x
15 = x
x = 15 bags
If she fills the same number of bags with leaves on each of the 5 weekdays.
how many bags she filled each weekday.
Bags she filled each weekday = Total Bags of leaves she fills during weekdays / 5 weekdays
= 15 bags / 5 weekdays
= 3 bags per weekday
Answer:
3
Step-by-step explanation:
1. Bags filled on weekdays + bags filled on weekends = total bags filled
2. 5b + 11 = 26
3. Isolate variable (subtract 11 from both sides) = 5b=15
4. Divide both sides by 5 = 15/5 = 3
5. How many bags does Grace fill each weekday? = 3
can I get help please
Answer:
im pretty sure its the second one
Please help me with these questions!!
Answer:
truck is 100mph
Step-by-step explanation:
Find measure of angle c
Answer:
insta trippy1669
Step-by-step explanation:
inverse of f(x) =e^2x- 4
Answer:
f−1(x)=ln(x+4)/ 2
Step-by-step explanation:
Similar Figures and Scale Drawings Extension brainliest plus 80 points !!!!!!!!!!!!!!!!!!
Answer:
1. 1/2 in = 6 feet
1 3/4 in = 21 feet
2. x = 7
y = 10
3. GH= 2
4. x = 3
y = 5
Answer:
6 aand 21
Step-by-step explanation:
What is the solution to the system of equations below?
4x - 7y = -2
8x - 14y = -4
Answer ?????
Point Form:
(x,2/7+4x/7)
Equation Form:
x=x,y=2/7+4x/7
A pair of jeans is marked 25% off. If the original price is $31.50, what is the discount amount that will be taken off of the original price?
Answer:
7.875 will be taken off
If c=g-4f, find trinomial that represents C when F=2x^2-5 and G=5x^2+x-3
Answer:
c = -3x² + x + 17
Step-by-step explanation:
c = g - 4f
f = 2x² - 5
g = 5x² + x - 3
c = (5x² + x - 3) - 4(2x² - 5)
c = 5x² + x - 3 - 8x² + 20
c = -3x² + x + 17
Write an express for the perimeter of the figure shown by combing like terms.
9514 1404 393
Answer:
28k
Step-by-step explanation:
The perimeter is the sum of the four equal-length sides:
P = 7k +7k +7k +7k
P = k(7 +7 +7 +7)
P = 28k . . . . perimeter of the rhombus
__
Of course, multiplication was invented to make repeated addition easier. Here, the perimeter is 4(7k) = 28k, no like terms to combine.
Right triangle FGH is shown. Which pair of expressions is equal to 9/41?
A. Sin F and Cos G
B. Sin F and Tan G
C. Tan Fand Sin G
D. Cos F and Sin G
Answer
A
Step-by-step explanation:
Bertha deposited $1000 into a retirement account when she was 18. How much will Bertha have in this account after 50 years at a yearly simple interest rate of 7.5%?
Answer:
$4750
Step-by-step explanation:
Simple interest is the interest calculated on the principal at a given rate for a time period.
The simple interest formula is given as,
SI = P x R x T / 100
P = principal
R = rate
T = time
Amount = SI + P
The amount Bertha will have in his account after 50 years is $4750.
What is simple interest?Simple interest is the interest calculated on the principal at a given rate for a time period.
The simple interest formula is given as,
SI = P x R x T / 100
P = principal
R = rate
T = time
We have,
P = $1000
T = 50
R = 7.5%
A = SI + P
SI = (1000 x 7.5 x 50) / 100
SI = 1000 X 7.5 X 50 / 1000
SI = $3750
A = SI + P
A = 3750 + 1000
A = $4750
Thus,
The amount Bertha will have in his account after 50 years is $4750.
Learn more about simple interests here:
https://brainly.com/question/25845758
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i need help people get brailestttt
Answer:
Whats the question?
Step-by-step explanation:
x^2 + 1/2x+?
ayooooo i need help
Answer:
1/16
Step-by-step explanation:
using a^2 +2ab + b^2
(1/2)/2 = 1/16
(1/16)^2
b = 1/16