9514 1404 393
Answer:
x = 2∠IEH = 58°∠IHE = 49°Step-by-step explanation:
a) The diagonals of a parallelogram bisect each other. So, the length of one half is equal to the length of the other half.
IE = IG
2x -2 = 2
x -1 = 1 . . . . . . divide by 2
x = 2 . . . . . . . add 1
__
b) Sides of a parallelogram are parallel, so each diagonal can be considered to be a transversal. Alternate interior angles where the transversal meets parallel lines are congruent. (Essentially, the figure is symmetric about its center, where the diagonals cross.)
∠IGF ≅ ∠IEH = 58°
∠IFG ≅ ∠IHE = 49°
If $120.99 is charged for 654 units of electricity
used, find the cost of one unit of electricity,
plz help me solving this question step by step this is important for me
Answer:
The cost of one unit of electricity is $0.185
Step-by-step explanation:
Amount charged = $120.99
Units of electricity used = 654
The cost of a unit of electricity can be determined by dividing the amount charged by the number of units used.
So that,
cost of one unit of electricity = [tex]\frac{120.99}{654}[/tex]
= 0.185
cost of one unit of electricity = $0.185
This implies that the cost of electricity used is charged at $0.185 per unit.
Thus for 654 units of electricity used, the cost would be;
654 x $0.185 = $120.99
PLSSS.
:)))))))(( HELP!!!!!
Answer:
54
Step-by-step explanation:
In a stem and leaf plot, the stems are typically increments of ten. Therefore, 5, or 50, is the largest stem. Now, in that row, we have to find the biggest leaf. Luckily for us, in stem and leaf plots, the leaves are organized in a least-to-greatest order. We go down to the end of the row and boom! 4. Put the stem and leaf together and we have 54.
273
13–21
=
16
7 — 6
Answer:
2
Step-by-step explanation:
find the value of x for which WXYZ must be a parallelogram
Answer:
x=9
Step-by-step explanation:
8x+7=5x+34
3x+7=34
3x=27
x=9
Answer:
the answer is 9
Step-by-step explanation:
I took the test
What would the total bill be of a painting that costs $20.50 with a tax rate of 6%?
Answer:
$21.73
Step-by-step explanation:
6% = 0.06
$20.50x0.06 = $1.23
$20.50 + $1.23 = $21.73
The amount a basketball coach spends at a sporting goods store depends on the number of basketballs the coach buys. The situation is represented by the function rule a= 13b.
Make a table of values and graph the function rule. Is the graph continuous or discrete? Explain.
Suppose the coach spent $117 before tax. How many basketballs did she buy?
The graph is discrete and the coach can buy 9 basketballs with $117.
What are Continuous and Discrete Functions?Continuous functions are those functions for which the value of function can take any number on a certain interval.
Discrete functions, on the other hand, takes separate and distinct values for the function.
The function here is,
a = 13 b
where a is the amount spending on the store and b is the number of basketball she buys.
(a) The table is shown below:
b : 0 1 2 3 4
a : 0 13 26 39 52
The graph is discrete because the function values are discrete.
(b) If the coach spent $117,
a = 117
b = a / 13
b = 117 / 13
b = 9
Hence the graph of the function is discrete and the coach can buy 9 basketballs with the given amount.
Learn more about Continuous and Discrete Functions, click :
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Use the drawing tools to form the correct answer on the number line.
Graph the solution set to this inequality.
31 – 11 > 71 + 9
Answer:
We conclude that
[tex]3x-11>7x+9\quad :\quad \begin{bmatrix}\mathrm{Solution:}\:&\:x<-5\:\\ \:\mathrm{Interval\:Notation:}&\:\left(-\infty \:,\:-5\right)\end{bmatrix}[/tex]
Please check the attached diagram which shows the solution on the number line.
Step-by-step explanation:
Given the inequality
[tex]3x-11>7x+9[/tex]
Add 11 to both sides
[tex]3x-11+11>7x+9+11[/tex]
Simplify
[tex]3x>7x+20[/tex]
Subtract 7 from both sides
[tex]3x-7x>7x+20-7x[/tex]
Simplify
[tex]-4x>20[/tex]
Multiply both sides by -1 (reverses the inequality)
[tex]\left(-4x\right)\left(-1\right)<20\left(-1\right)[/tex]
Simplify
[tex]4x<-20[/tex]
Divide both sides by 4
[tex]\frac{4x}{4}<\frac{-20}{4}[/tex]
Simplify
[tex]x<-5[/tex]
Therefore, we conclude that
[tex]3x-11>7x+9\quad :\quad \begin{bmatrix}\mathrm{Solution:}\:&\:x<-5\:\\ \:\mathrm{Interval\:Notation:}&\:\left(-\infty \:,\:-5\right)\end{bmatrix}[/tex]
Please check the attached diagram which shows the solution on the number line.
200-3.5 x 2.8 what is the product?
Answer:
190.2
Explanation:
3.5x2.8=9.8
200-9.8=190.2
Answer:
how do you find the product of 3.5 x 2.8
Step-by-step explanation:
explain how you got it.
Use any method to divide
Answer:
Step-by-step explanation:
-2/3 needs to be multiplied by the reciprocal of 1/2
(-2/3)*(2/1)=-4/3= -1 1/3
At 9 a.m., a freight train leaves Boston for NY C, traveling at an average rate of 24
miles per hour. At noon, a passenger train sets out on the same route, traveling at an
average rate of 60 miles per hour. How far from Boston do the two trains pass each
other?
Answer:
120 miles
Step-by-step explanation:
9:am is time
12:00 pm is time
Distance, speed, and time are the hints to solving the problem
Plz mark Brainliest
Please help I need it plz
Answer:
your answer is goin to be -27
Answer:
b= -27
Step-by-step explanation:
-1/3b=9
or, b=9/-1/3
or, b= -27
hence b=-27
Which ratio is equivalent to the ratio 2.5
Name:
11. Find the measure of each acute angle.
(2x + 6°
(5x + 14°
Answer:
A
Step-by-step explanation:
Dc is a little bit more than a few other things but I think it’s Going and the kids have to be in a different room yet I think it’s going on for me and my kids are in my car so I’m going to go get my car off at my moms and I can go pick it out I have a lot to go
Being timed so please be fast
Aeronautical researchers have developed three different processes to pack a parachute. They want to compare the different processes in terms of time to deploy and reliability. There are 1,200 objects that they can drop with a parachute from a plane. Using a table of random digits, the researchers will randomly place the 1,200 items into three equally sized treatment groups suitable for comparison.
How should the items be labeled to select the process groups using a table of random digits?
A 1–3
B 1–1200
C 0000–1200
D 0000–1199
Answer:
0000–1199
Step-by-step explanation:
Edge 2020/2021
Adjust to compatible numbers that count by 25s, and then subtract to estimate the difference. 252 - 23 =
Answer:
252
l----------l----------l----------l 252 changes to 250
225 250 275 300
23
l----------l---------l---------l 25 changes to 23
0 25 50 75
250-25=225
Step-by-step explanation:
Select the correct answer. On what interval is the function h(x) = 1 - 5] + 2 Increasing?
OA (2,00)
OB. (5,00)
OC. (-00, 2)
OD. (-0,5)
Answer:a
Step-by-step explanation:
The function h(x) is increasing on the interval (5, ∞).
What is the function?A relationship between a group of inputs and one output is referred to as a function. In plain English, a function is an association between inputs in which each input is connected to precisely one output. A domain, codomain, or range exists for every function. Typically, f(x), where x is the input, is used to represent a function.
The function h(x) = |x − 5| + 2 is increasing on an interval where the derivative is positive.
If x < 5, then h(x) = -(x-5) + 2 = 7-x, and if x > 5, then h(x) = x - 5 + 2 = x - 3. Thus,
h'(x) =[tex]\left \{ {{ -1, for x < 5} \atop { 1, for x > 5}} \right.[/tex]
Since h'(x) is positive for all x > 5, the function h(x) is increasing on the interval (5, ∞).
Learn more about function here:
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Complete question:
On what interval is the function h(x) = |x − 5| + 2 increasing?
Meal tickets at a large school cafeteria cost $4 for children and $9 for adults. On a certain day,
if 14 times as many children's tickets were bought as adult meal tickets, and the total revenue
from selling all tickets was $2,584, about how many children bought meal tickets?
Answer:
Let's define:
C = number of children tickets bought
A = number of adult tickets bought.
We know that "On a certain day, if 14 times as many children's tickets were bought as adult meal tickets"
Then we have:
C = 14*A
And we also know that:
"the total revenue from selling all tickets was $2,584"
Then:
C*$4 + A*$9 = $2,584
Then we have a system of equations:
C = 14*A
C*$4 + A*$9 = $2,584
The first step to solve these is to isolate one of the variables in one of the equations, and then replacing it in the other equation. We can already see that C is already isolated in the first equation, then we can just replace it in the second one to get:
(14*A)*$4 + A*$9 = $2,584
A*$56 + A*$9 = $2,584
A*$65 = $2,584
A = $2,584/$65 = 39.75
Here we should have a whole number, (So one of the numbers given may be incorrect) This is because we can not have a 0.75 of a ticket sold.
In this case, we know that:
C = A*14
C = 39.75*14 = 546.5
We could round this up to get a whole number; 547
About 547 children tickets were sold.
Someone help me please!
Answer:
here's the answerhope this helpsAnswer:
x = 120/29
Step-by-step explanation:
-1/6(x + 18) + 1/5(x + 5) = x - 6
-1/6x - 3 + 1/5x + 1 = x - 6
-1/6x + 1/5x + 1 - 3 = x - 6
-1/6x + 1/5x - 2 = x - 6
-5/30 + 6/30x = x - 6 + 2
1/30x = x - 4
1/30x - x = -4
-29/30x = -4
-29/30x • 30/29 = -4 • 30/29
-x = -4/1 • 30/29
-x = -120/29
-x/-1 = 120/29/-1
x = 120/29
What property does the following equation show? 5+7+9=7+5+9
Answer:
Commutative property of addition
Step-by-step explanation:
The commutative property of addition says that changing the order of addends does not change the sum.
A paperclip manufacturer puts 75 paperclips in each box. Every hour the factory produces 114,375 paperclips. How many boxes does the factory fill each hour?
A
1,525
B
1,530
C
1,538
D
1,583
help this new school math is not for this mom
PLZ HELP I WILL GIVE 100 PTS
Your classmate writes that if y > x, then aˣ/aʸ = 1/a⁽ʸ⁻ˣ⁾ for all real numbers x and y.
Is your classmate correct? PLZ EXPLAIN
Answer:
yes your class mate is correct ..........
Answer:
Yes your class mate is correct
500 Bhadgaule caps bought for Rs. 200000 in Nepali market are sold in Britain after paying
5% export tax then 150% profit was made. Find the selling price of each Cap in Pound Sterling.
[£ 1 = Rs. 155.63]
Answer:
Selling price of each cap = £6.75 (Approx.)
Step-by-step explanation:
Given:
Number of caps = 500
Cost of caps = Rs. 200,000
Export tax = 5%
Profit = 150%
£ 1 = Rs. 155.63
Find:
Selling price of each cap
Computation:
Cost of 1 cap = 200,000 / 500
Cost of 1 cap = Rs 400
After Add export tax = 400 + 400(5%)
After Add export tax = Rs 420
After profit = 420 + 420(150%)
After profit = Rs 1050
Selling price of each cap = 1,050 / 155.63
Selling price of each cap = £6.75 (Approx.)
A construction crew is lengthening a road that originally measured 41 miles. The crew is adding one mile to the road each day.
Let L be the length (in miles) after D days of construction.
Write an equation relating L to D. Then use this equation to find the length of the road after 14 days.
Answer:
41 + (D x 1) = L
Step-by-step explanation:
To determine the necessary equation to lengthen a road whose initial measure is 41 miles, knowing that a new mile is built every day, the following equation must be performed:
41 + (D x 1) = L
Thus, if 14 days had passed, the length of the journey would be determined as follows:
41 + (14 x 1) = L
41 + 14 = L
55 = L
Therefore, after 14 days, the road's length will be 55 miles.
Find the perimeter of the figure below.
Answer: The missing side length is 5yd's and the perimeter is 84
Step-by-step explanation:
Which of these phrases contain a variable? Check all that apply.
A. Eight miles long
B. The speed of the scooter
C. Two pounds of nails
D. The width of the book
Answer:
B. The speed of the scooter.
Step-by-step explanation:
hope it helped
If each of the following questions were asked to a group of second graders, which question would NOT be a statistical question? A. What time do you wake up in the morning? B. How tall are you? C. How many brothers and sisters do you have? D. What grade are you in?
Answer:
d
Step-by-step explanation:
just makes sense bc they're all in 2nd grade
Caiden drank 1/6 of a glass of apple cider. Olivia drank 2/3 of another class of apple cider. How much apple cider did they drink altogether?
Answer:
Step-by-step explanation:
Both Caiden and Olivia drank
1/6+2/3=1/6+4/6=5/6 apple cider
Answer:
5/6 apple cider vinegar altogether
What is the perimeter of the figure below?
r
X
r-2
Answer:
Perimeter = 5x - 2
Step-by-step explanation:
Perimeter of the figure = sum of all its side lengths
Thus:
Perimeter = (x - 4) + (x + 3) + (x - 2) + x + (x + 1)
Perimeter = x - 4 + x + 3 + x - 2 + x + x + 1
Collect like terms
Perimeter = x + x + x + x + x - 4 + 3 - 2 + 1
Perimeter = 5x - 2
The mayor of a town has proposed a plan for the construction of an adjoining bridge. A political study took a sample of 1300 voters in the town and found that 38% of the residents favored construction. Using the data, a political strategist wants to test the claim that the percentage of residents who favor construction is over 35%. Testing at the 0.05 level, is there enough evidence to support the strategist's claim?
Answer:
We reject H₀, we have enough evidence to support the claim that the porcentage of residents who favor construction is over 35%
Step-by-step explanation:
Sample size n = 1300
Sample proportion p = 38 % = 0,38 then q = 62% q = 0,62
The size of the sample is enough to consider the binomial distribution can approximate to normal distribution
p*n = 1300*0,38 q*n = 1300*0,62
p*n > 10 q*n> 10
Population proportion 35% p₀ = 35 % p₀ = 0,35
Hypothesis Test :
Null Hypothesis H₀ p = p₀
Alternative Hypothesis Ha p > p₀
The hypothesis test is a one-tail test to the right
Significance Level α = 0,05 we go to z-table and find z(c)
z(c) = 1,64
To calculate z(s)
z(s) = ( p - p₀ ) / √ p*q/ n
z(s) = 0,38 - 0,35 / √ ( 0,38 * 0,62) / 1300
z(s) = 0,03 / 0,013
z(s) = 2,307
Comparing z(c) and z(s)
z(s) > z(c) 2,307 > 1,64
z(s) is in the rejection region for H₀, we must reject H₀
We have enough evidence to support the claim
Identify the corresponding sides
Answer:
B, D, and F
Step-by-step explanation:
Separate the triangles into WBY and WXZ
Get each side
for WBY
sides are YW, BY, WB
for WXZ
sides are ZW, XZ, and WX