given parallelogram EFGH, where EF = 5x + 18, HE = 3x + 4 and the perimeter is 60, which value of GH
Answers
Given the perimeter of the parallelogram in the image below is 60, the value of GH will be: 23.
Recall:
Perimeter of a parallelogram = 2(a + b), where a is the side length and b is the base length.Opposite sides of a parallelogram are equal.Given the parallelogram as shown in the diagram below, where:
base (b) = EF = 5x + 18
side (a) = HE = 3x + 4
Perimeter = 60
Plug in the values into the formula:
60 = 2[(3x + 4) + (5x + 18)]
60 = 2[3x + 4 + 5x + 18]
60 = 2[8x + 22]
60 = 16x + 44
60 - 44 = 16x
16 = 16x
1 = x
x = 1
GH = EF = 5x + 18 (equal opposite sides of parallelogram)
GH = 5x + 18
Plug in the value of xGH = 5(1) + 18
GH = 23
Learn more about the perimeter of a parallelogram on:
https://brainly.com/question/884700
Related Questions
The ratio of the measures of the sides of a triangle is 5:7:8. Find the measures of each angle in the triangle.
Answers
Answer:
45°, 63°, 72°
Step-by-step explanation:
The sum of ratio units is 5+7+8=20, so each stands for 180°/20 = 9° of angle. Multiplying the ratio values by 9° gives the angle values:
45° : 63° : 72°
help I have no clue what I'm doING
Answers
2hrs - 3 cm
3hrs - 4.5 cm
4hrs - 6 cm
5hrs - 7.5 cm
I hope this helps and that I’m right! Good luck!! :)
Answer:
3.0
4.5
6.0
7.5
Step-by-step explanation:
it rains at the rate of 1.5cm per hour
In two hours, the amount will be; 1.5 × 2
= 3cm
in the three hours, the amount will be 1.5×3
=4.5cm
in four hours, the amount will be; 1.5×4
=6cm
in five hours, the amount will be; 1.5×5
=7.5cm
8 with an exponent of 2 +9(12 divided by 3 x 2)-7 simplify with steps please
Answers
[tex]\huge \bf༆ Answer ༄[/tex]
Let's solve ~
[tex] \sf {8}^{2} + 9(12 \div 3 \times 2) - 7[/tex][tex] \sf64 + 9(4 \times 2) - 7[/tex][tex] \sf64 + 9(8) - 7[/tex][tex] \sf64 + 72 - 7[/tex][tex] \sf136 - 7[/tex][tex] \sf129[/tex]For what values of x and y are the triangles to
the right congruent by HL?
M
X=1
35
=
and y=
Answers
Answer:
y=48
Step-by-step explanation:
180-135=55-7=y=48
Simplify 4 to the seventh power over 5 squared all raised to the third power . (4 points)
a
4 to the tenth power over 5 to the fifth power
b
4 to the fourth power over 5
c
4 to the twenty-first power over 5 to the sixth power
d
12 to the seventh power over 15 squared
Answers
The answer is C, 4 to the 21st over 5 to the 6th power.
The jazz band has 14 members. To raise money for a tour, each member sold r raffle tickets. Write an expression that shows the number of raffle tickets sold.
Answers
Answer:
14r
Step-by-step explanation:
since there are 14 members and each sold r tickets r x 14 which is 14r
round 78300 nearest hundred
Answers
Answer:
78300 rounded to the nearest hundred is 78300.00 it would basically be the sam thing as 78300
Step-by-step explanation:
Hope this helps :)
Question 8 Tasha noticed that bags are not selling quite well. She reduced the original price of $300 by 20%. After, three months the bags were still not selling.She reduced the price again by 40%. A, What was the total percent of decrease? Show your work.
Answers
Answer:
84% decrease
Step-by-step explanation:
100 - 80 = 20%
80% = 4/5
300 * 4/5 = 240
100 - 40 = 60%
60% = 3/5
240 * 3/5 = 48
48/300 = 4/25 = 16%
100 - 16 = 84%
which expression are of -48xyz+24xy+40xyz
A4
B24
C3X
D8Y
E2XY
F6XY
GXYZ
Answers
Answer:
I'm GUESSING you want to know which are possible FACTORS of the equation. - 48xyz + 24xy + 40xyz
IF so,
THEN
A) 4 as 48, 24, and 40 divide evenly by 4
4(-12xyz + 6xy + 10xyz)
D) 8Y as 48, 24, and 40 divide evenly by 8 and each term has a Y
8y(-6xz + 3x + 5xz)
E) 2XY as 48, 24, and 40 divide evenly by 2 and each term has a XY
2xy(-24z + 12 + 20z)
The cost of providing water bottles at a high school football game is $35 for the rental of the coolers and $0.50 per bottle
Answers
The cost function is an illustration of a linear function
The equation of the cost function is C(x) = 35 + 0.5x
The given parameters are:
[tex]Rentals = 35[/tex] -- the cost of renting a cooler
[tex]Rate = 0.5[/tex] --- the rate per bottle
Assume the number of bottles in a cooler is x.
The cost function for the bottles in a cooler would be:
[tex]C(x) = Rentals + Rate \times x[/tex]
So, we have:
[tex]C(x) = 35 + 0.5\times x[/tex]
Evaluate the products
[tex]C(x) = 35 + 0.5x[/tex]
Hence, the equation is [tex]C(x) = 35 + 0.5x[/tex]
Read more about linear functions at:
https://brainly.com/question/15602982
your friend claims that the average maximum amount of time people can hold their breath is less than 60 seconds. to check whether your friend's claim is true, you take a random sample of the maximum amount of time 10 people can hold their breath. 42 45 47 50 58 60 61 63 64 68 assume the population is approximately normal. perform a hypothesis test to determine whether the average maximum amount of time people can hold their breath is less than 60 seconds. use the alpha =0.05 level of significance.
a. state the null and alternate hypothesis
b. compute the value of the test statistic. round your intermediate calculations and final answer to at least three decimal places.
c. give the p-value
d. determine whether to reject the null hypothesis
e. state a conclusion in the context of the question (in the story of the problem)
Answers
Using the t-distribution, it is found that:
a)
The null hypothesis is: [tex]H_0: \mu \geq 60[/tex]
The alternative hypothesis is: [tex]H_1: \mu < 60[/tex]
b) t = -1.47
c) 0.0878.
d) Do not reject the null hypothesis.
e) Not enough evidence to conclude that the average maximum amount of time people can hold their breath is less than 60 seconds.
Item a:
At the null hypothesis, it is tested if the mean is not less than 60 seconds, that is:
[tex]H_0: \mu \geq 60[/tex]
At the alternative hypothesis, it is tested if the mean is less than 60 seconds, that is:
[tex]H_1: \mu < 60[/tex]
Item b:
We can find the standard deviation for the sample, hence, the t-distribution is used to solve this question.
The test statistic is given by:
[tex]t = \frac{\overline{x} - \mu}{\frac{s}{\sqrt{n}}}[/tex]
The parameters are:
[tex]\overline{x}[/tex] is the sample mean. [tex]\mu[/tex] is the value tested at the null hypothesis. s is the standard deviation of the sample. n is the sample size.With the help of a calculator to find the sample mean and the standard deviation, the values of the parameters are:
[tex]\overline{x} = 55.8, \mu = 60, s = 9.04, n = 10[/tex]
Hence, the value of the test statistic is:
[tex]t = \frac{\overline{x} - \mu}{\frac{s}{\sqrt{n}}}[/tex]
[tex]t = \frac{55.8 - 60}{\frac{9.04}{\sqrt{10}}}[/tex]
[tex]t = -1.47[/tex]
Item c:
The p-value is found using a left-tailed test, as we are testing if the mean is less than a value, with 10 - 1 = 9 df and t = -1.47.
Using a t-distribution calculator, this p-value is of 0.0878.Item d:
The p-value is of 0.0878 > 0.05, hence, we do not reject the null hypothesis.
Item e:
Since the null hypothesis is not rejected, there is not enough evidence to conclude that the average maximum amount of time people can hold their breath is less than 60 seconds.
A similar problem is given at brainly.com/question/24826023
Does anyone know the answer please help!!
Answers
Helppp it’s due today
Answers
Answer:
128
Step-by-step explanation:
PLEASE HELP ME RN PLEASE
Answers
Answer:
1.
[tex] \frac{n^{2} - 1 }{2} [/tex]
2.
[tex] \sqrt{29} [/tex]
Step-by-step explanation:
Area of triangle=1/2×b×h
=
[tex] \frac{1}{2} \times (n - 1)(n + 1)[/tex]
[tex] \frac{( {n}^{2} + n - n - 1) }{2 } [/tex]
[tex] \frac{ {n}^{2} - 1 }{2} [/tex]
2. Area of triangle=14
[tex] \frac{ {n}^{2} - 1 }{2} = 14[/tex]
[tex] {n}^{2} - 1 = 28[/tex]
[tex] {n}^{2} = 29[/tex]
[tex]n = \sqrt{29} [/tex]
please rate well and mark BRAINLIEST.
thanks
Find the volume of a cone with a diameter of 12.9 cm and a height of 16.6 cm.
Answers
Answer:
112cm^3
Step-by-step explanation:
Formula for volume of a cone is:
[tex] \frac{1}{3} \times \pi \times {r}^{2} \times h[/tex]
r = radius and h = height
To find the radius you divide the diameter by 2:
12.9 ÷ 2 = 6.45
Now substitute values into the formula:
[tex] \frac{1}{3} \times \pi \times {6.45}^{2} \times 16.6[/tex]
Which equals 112cm^3
Find the median of the numbers in the following list. 26, 13, 39, 22, 42,39, 18, 21, 32,14
Answers
Explanation: Put them in order from lowest to greatest
13,14,18,21,22,26,32,39,39,42
Find the two middle numbers and add them then divide by 2.
22+26=48
48/2=24
Answer:
24
Step-by-step explanation:
13,14,18,21,22,26,32,39,39,42
middle is 22 and 26
therefore you add and divide by 2
then you'll get 24
the price of an article is Marked 25% above the cost price .if it is solid the profit of Rs.500 after allowing 15% discount .what will be it's selling price
Answers
Answer:
Rs 8500
Step-by-step explanation:
For a cost price of c, the marked price is ...
marked = c +25%·c = 1.25c
After the 15% discount, the sale price will be ...
s = marked -15%·marked = 0.85·marked = (0.85)(1.25c) = 1.0625c
The profit will be the difference between the sale price s and the cost c:
p = s -c
500 = (1.0625c) -c = 0.0625c
Then the cost is ...
500/0.0625 = c = 8000
and the sale price is ...
s = c +p = 8000 +500 = 8500 . . . rupees
The selling price will be Rs 8500.
a box contains 4 red balls and 6 purple balls. Ezra takes out a ball, puts it back and then takes out another ball. what is the probability that both balls were red
Answers
Answer:
16/100 = 4/25
Step-by-step explanation:
4/10 * 4/10 = 16/100
Help me with this plzzzzzzzzz
Answers
Answer:
B : x € (-∞, 1)
Step-by-step explanation:
we have 4x +9 -2 +3x < 14
7x +7 < 14
7(x+1) < 14
x + 1 < 2
x < 1
=> x € (-∞, 1)
Which of the following is a rational number? (5 points)
22, 23, 24, 25
оа
22
Oь
V24
d
25
Answers
Answer:
d. √25 is a rational number
Part 1 of 2
O Points
What are the lateral surface area and total surface area of a cylindrical oil storage tank that has a 44-ft diameter and 18-ft height?
The lateral surface area of the cylindrical oil storage tank is
(Round to one decimal place as needed.)
Answers
The Lateral Surface Area of the cylindrical oil storage tank is [tex]2486.9\text{ sq.ft}[/tex]
The Total Surface Area of the cylindrical oil storage tank is [tex]5526.4\text{ sq.ft}[/tex]
If the height and base radius of the cylindrical oil storage tank are represented by [tex]h[/tex] and [tex]r[/tex] respectively, then
The Lateral Surface Area, also known as the Curved Surface Area, of the cylindrical oil storage tank has the formula
[tex]L=2\pi rh[/tex]
The Total Surface Area of the cylindrical oil storage tank has the formula
[tex]T=2\pi rh+2\pi r^2\\T=2\pi r(h+r)[/tex]
The values for the height and base radius are [tex]18ft[/tex] and [tex]22ft[/tex] respectively.
Calculate the Lateral Surface Area
[tex]L=2\pi rh\\=2\times 3.14\times 22\times 18\\\approx 2486.9\text{ sq.ft}[/tex]
Calculate the Total Surface Area
[tex]T=2\pi r(h+r)\\=2\times 3.14\times22(18+22)\\=5526.4\text{ sq.ft}[/tex]
Learn more about the surface area of cylinders here https://brainly.com/question/1037971
Really easy question!!! will mark BRAINLIEST
True or false. The weight of the moon is six times that of earth? Create an equation.
Answers
Step-by-step explanation:
False, the moon weight is 1/6 of Earth weight. Let y our Earth weight, and let x be our moon weight. We can write this as y=6x.
Your family has a total of 60 t-shirts and you decide to give some away. If 4 of the t-shirts are being worn right now, and there are 25 t-shirts left in the family's closets, how many t-shirts did your family give away?
Answers
31
If you had 60 t-shirts and wore 4 and had 25 you do 25+4=29 then you do 60-29 that =31 so you will have sold 31 t-shirts
There is a rack of 7 billiards balls, numbered from 1 to 7. If one ball is selected at random, determine the odds against it being an odd-numbered ball.
The odds are 0:0
(Type whole numbers. Simplify your answer.)
Answers
Answer:
Step-by-step explanation:
seven options 1, 2, 3, 4, 5, 6, 7
three successes for it being even. 2, 4, 6
odds are 3:7 of against randomly drawing an odd numbered ball.
The store Skate4you buys skateboards from a manufacturer at a wholesale price of $57. The store's markup
is 150%. Calculate the amount of markup. What is the retail (selling) price for a skateboard from Skate4you?
Answers
Answer:
$85.50
Step-by-step explanation:
57 x 1.5 = 85.5
What is the Domain and Range of the relation shown in the table? x y 8 -4 6 -2 4 3 2 6
Answers
Answer:domain: {2,3,4,7} range: {0, 5, 9, 32}
Step-by-step explanation:
The domain is the set of all the values of x x . The range is the set of all the values of y y .
give a pair of alternate interior angles, a pair of corresponding angles and a pair of alternate exterior angles.
Answers
corresponding: 5&7
alternate exterior: 8&1
11
For your job, you often fly between Seattle and Miami. The distance between these cities is 2,724 miles. You earn a free flight after you accumulate 25,000 miles of travel. How many round trips (back and forth) mus!
you make between Seattle and Miami in order to earn a free flight?
b. 5
c. 8
d. 9
e. 10
Answer 5
Answers
Answer:
b
Step-by-step explanation:
one trip = 2724 miles
one round trip = 2 trips = 2724 * 2 = 5448 miles
We want to see how many round trips go into the miles needed for a free flight. We want to see how many times 5448 goes into 25000. To do this, we can use division.
25000/5448 ≈ 4.6
If we only have 4 round trips, it will not be enough for 4.6, so we will not be able to obtain a free flight. If we have 5, we will be able to, as 5 > 4.6
Ok ok ok ok ok ok ok
Answers
Answer:
ok ok ok ok ok
Step-by-step explanation:
Answer:
ok?
Step-by-step explanation:
been trying for an hour, need help
Answers
Sin45degre = x divided by root 5
Answer:
[tex]\sqrt{\frac{5}{2} }[/tex]
Step-by-step explanation:
We know that this is a 45-45 triangle. Where there are two angles that are 45 degrees and the other angle is a right angle (90 degrees).
The sides are a, b (which equals a) and, c (which equals a*square root of 2).
In this triangle we are given c, and tasked at finding a. Since c= [tex]a*\sqrt{2}[/tex], then we know that, [tex]\sqrt{5}= a*\sqrt{2}[/tex]. Divide the equation by square root of 2 to find a. Which equals [tex]\sqrt{\frac{5}{2} }[/tex]