Explain why the two triangles below are similar by writing the appropriate similarity theorem. Then find x. Round your answer to the nearest tenth. (example answer ---> SSS,9.2 ---> no spaces)
Answers
Answer:
SSS Theorem
[tex]x = 35.7[/tex]
Step-by-step explanation:
Given
The attached triangle
Solving (a) The similarity theorem
The given sides of the triangle are similar.
In other words, they are similar by sides.
Hence, the theorem is: SSS
Solving (b): Find x
To find x, we make use of the following equivalent ratios.
[tex]\frac{14}{25} = \frac{14+6}{x}[/tex]
This gives:
[tex]\frac{14}{25} = \frac{20}{x}[/tex]
Cross multiply
[tex]14 * x = 20 * 25[/tex]
[tex]14 * x = 500[/tex]
Solve for x
[tex]x = \frac{500}{14}[/tex]
[tex]x = 35.7[/tex] -- approximated
Related Questions
A total of 255 tickets were sold for the school play. They were either adult tickets or student tickets. The number of student tickets sold was two times the number of adult tickets sold. How many adult tickets were sold? answer ASAP will give brainliest!!!
Answers
Answer:
85
Step-by-step explanation:
255 ÷ 3 = 85
85×2= 170 This is how much student tickets were sold.
255 - 170= 85
85 adult tickets were sold.
Automobiles manufactured by the Efficiency Company have been averaging 42 miles per gallon of gasoline in highway driving. It is believed that its new automobiles average more than 42 miles per gallon. An independent testing service road-tested 36 of the automobiles. The sample showed an average of 42.8 miles per gallon with a standard deviation of 1.2 miles per gallon. Show all work.
a. With a 0.05 level of significance using the critical value approach, test to determine whether or not the new automobiles actually do average more than 42 miles per gallon.
b. What is the p-value associated with the sample results? What is your conclusion based on the p-value?
Answers
Answer:
Hence, we can conclude that there is no significant evidence to conclude that the new automobile actually do average more than 42 miles per gallon.
Step-by-step explanation:
H0 : μ = 42
H1 : μ > 42
Sample size, n = 36
xbar = 42.8
Standard deviation, s = 1.2
The test statistic :
(xbar - μ) ÷ (s / sqrt(n))
(42.8 - 42) ÷ (1.2 / sqrt(36))
0.8 ÷ 0.2 = 4
Test statistic = 4
Zcritical at 95% for a one - tailed test (right tailed) = 1.645
Test statistic > Critical value ; 4 > 1.645
Since Test statistic > Critical value ; We fail to reject the Null
Hence, we can conclude that there is no significant evidence to conclude that the new automobile actually do average more than 42 miles per gallon.
The Pvalue :
P(Z < 4) = 0.99997
Since,
Pvalue > α
0.99998 > 0.05 ; We fail to reject the Null
Hence, we can conclude that there is no significant evidence to conclude that the new automobile actually do average more than 42 miles per gallon.
please help i am giving away brainliest
A swimming pool in the shape of a cylinder with a diameter of 10 m and a depth of 3 m is being filled with water. 27,535 L have been added so far. 1 m3 is equal to 1000 L. To the nearest liter, how much more water can the pool hold?
A. 236,000 L
B. 208,084 L
C. 236,616 L
D. 207,314 L
No dam links
Answers
Answer:
207,314
Step-by-step explanation:
V = πr2h =π · 52·3 ≈ 235.61945 m^3
because 1m^3 = 1000 L, (27,535 / 1000) = the amount of added water in m^3. As this is equal to 27.535, we can substract this from 235.62.
235.62 - 27.535 is about 208.085, or 207.314 because of rounding. As this is in m^3, we multiply by liters to arrive at the answer of 207,314, or option D.
(39-7) divided by 4^2 = ?
Answers
32/16=2
I think the question is straight forward
Answer:
Its 2
Step-by-step explanation:
(39-7) / 4^2
32 / 4^2
32 / 2^4
2^5 / 2^4 divide which gets you
2
The sales rate is 8%. If Janelle buys a gymnastics mat priced at $87 , how much tax will she pay?
Answers
Answer: $6.96
Step-by-step explanation:
To find out what 8% of $87 is, you have to convert the 8% into decimal form which is 0.08. Then you have to multiply that by $87
87*0.08 = 6.96
Now, we know $6.96 is 8% of $87 which is how much she will be paying in tax
In simplest form, what fraction of the figure is shaded?
2/3
3/4
5/6
7/8
2. Which fraction is equivalent to 3/9? *
1/4
1/3
2/5
1/2
Answers
what is the median of 16, 20, 20, 23, 25, 27, 29, 31, 31, and 32.
Answers
Answer:
27
Step-by-step explanation:
The madian is gis
If y varies directly with n and inversely with m, and y = 3 when n = 6 and m = 10, then what is y when n = 12 and m = 3?
A.45
B.4/5
C.5
D.20
Answers
Answer: The answer is (c) 5
Step-by-step explanation: just know
PLEASE HELP !! ILL GIVE BRAINLIEST *EXTRA 40 POINTS* DONT SKIP :(( .!
Answers
Answer:
corresponding angles
Step-by-step explanation:
i dont know how to explain but this file may help prove for my solution
Explanation:
They can’t be alternate exterior angles because angle 5 is an interior angle.
They can’t be alternate interior angles because angle 1 is an exterior angle.
They can’t be vertical angles because they are not opposite angles like 1 and 4, 2 and 3, 5 and 8, and 6 and 7.
They are corresponding angles by process of elimination.
THEY ARE CORRESPONDING ANGLES BECAUSE THEY ARE ON THE SAME SIDE OF ONE OF THE TWO LINES CUT BY THE TRANSVERSAL LINE (transversal is the diagonal line in the picture)
i am so confused. not sure how to solve need step by step instruction to help please
given:f(x)=3x−7 for × ≥0
f(x)=-2x +3 for x >0
find: f(-5)
Answers
Answer:
13
Step-by-step explanation:
Since -5 is less than zero, we use the second equation, and substitute the -5 in for the x.
-2(-5)+3=13
Solve the equation. Check your solution.
30) x/4 = 9
Answers
Answer:
x = 36
Step-by-step explanation:
x/4 = 9
multiply both sides by 4
x/4 (4) = 9(4)
x = 36
The answer is x = 36
We can check by plugging in x = 36 to the original equation:
x/4 = 9
(36)/4 = 9
9 = 9
Correct
In 2003 the population of Mayberry was 324 people. After a new factory opened and attracted new families to the area, the population grew to 450 people. What is the percent of increase in population in Mayberry?
Answers
Answer:
about 61 percent
Step-by-step explanation:
please answer!
The expression 8x − 4 represents the
cost of 8 pairs of socks Emma bought,
less the $4 coupon she had. Which
property is applied to the expression to
write the equivalent expression
4(2x − 1)? Explain.
Answers
Answer:
Step-by-step explanation:
distributive property
plz help me with this question and plz do NOT put links in when answers
Answers
Answer:
Remember to add up the 2 angles they give you and subtract it from 180. Then you will get the answer for each question.
Complete the table for all the lengths and widths that are missing for
Claire's garden.
*This is only some of the table from the problem.
Answers
Answer:
Step-by-step explanation:
x is 1,2,3,4,5
y is 14,13,12,11,10
For questions 1 - 4, which right triangle congruence theorem can be used to show that the two triangles
are congruent?
8
1.
2.
܂
A
B
3.
܂
4.
A
Answers
Step-by-step explanation:
1. SAS
2. HL
3. AAS
4 AAS
As part of a holf-marathon route, Charlie
ron 4.1 miles east then 9 miles south. How
for is he from his starting points
Answers
Answer:
He is 9.9 miles far from his starting point.
United Aluminum Company of Cincinnati produces three grades (high, medium, and low) of aluminum at two mills. Each mill has a different
production capacity (in tons per day) for each grade, as follows:
Mill
Aluminum
Grade 1 2
High 6 2
Medium 2 2
Low 4 10
The company has contracted with a manufacturing firm to supply at least 12 tons of high-grade aluminum, 8 tons of medium-grade aluminum, and 5
tons of low-grade aluminum. It costs United $6,000 per day to operate mill 1 and $7,000 per day to operate mill 2. The company wants to know the
number of days to operate each mill in order to meet the contract at the minimum cost.
Formulate a linear programming model for this problem.
Answers
Answer:
uh
Step-by-step explanation:
a1=-3, r= -3, n = 10
Answers
Answer:
N =10
Step-by-step explanation:
R=-3 hhhhhhhgh
I’m not sure and please explain how you got the answer pleaseee
Answers
Answer:
A
Step-by-step explanation:
Because 30+18=48, and 3(10+6)=48
10+6=16
3•16=48
help me please and answer correctly people answer wrong on purpose
Answers
14.53 less then or greater then 16.3
Answers
Answer:
14.53 is less than 16.3
Step-by-step explanation:
PLEASE HELP !! ILL GIVE BRAINLIEST !! 100 POINTS
Answers
Answer:
D) ONK and MNK
Step-by-step explanation:
All the other choices are either corresponding or vertical angles
PLEASE HELP QUICK I NEED IT TO PASS TIMES ALMOST UP PLEASE HELP I WILL GIVE BRAINLIEST Write 5-8 sentences telling the story of this play. Use your Imagination, tell the story of the picture
Answers
Answer:
Maybe write a quick story on a group of adventurers who met at a mansion party to wait for an ancient map to arrive.
I can’t believe this is where I would end up: pretending to be a dog in an improv club. I glanced at Arnold. “You’re doing great. She’s gotta recognize you now!” he whispered, kneeling next to me. I sneak a glance towards the top of the staircase. “Such a lovely sight. A woman in red.” I thought. “Thomas! Thomas, come here!” I hear my name called from above. I smiled to myself, “Success.”
It’s probably a little bit more than 8 sentences and is not the greatest but is something
The original price of a mirror was priced at $15 but was on sale. The amount of the discount is $3. What percent is the discount of the mirror?
Answers
Answer:
20%
Step-by-step explanation:
You do 3 divided by 15 which is 0.2, or 20 percent.
An algebraic expression that contains three terms is called
Answers
Answer:
Trinomial
Step-by-step explanation:
Traditionally, an expression consisting of 3 terms is called a Trinomial. For example : 3x + 4y -z, 5xy + 4yz + 4 ,a + b –c. And an expression consisting of more than 3 terms is called Polynomial.
hope this helps:)
Answer: An algebraic expression that contains three terms is called trinomial
Hope this helps!
8,782 divided by 2 can you please explain me the process so i can do it
Answers
Answer:
4,391
Step-by-step explanation:
next time use a caculator luv <3
Answer:
4,391
Step-by-step explanation:
You can start of by multiply 100's by 2 and keep going until you get close to 8,782 then start going down some numbers till you get 8,782.
NEED HELP IN FINDING AREA
Answers
Answer:
809 km²
Step-by-step explanation:
I can split this into 3 rectangles. One is 25 by 17, another is 24 by 13, and the last one is 6 by 12. (I had gotten 13 for the second rectangle because 25 - 12 = 13.)
(25 * 17) + (24 * 13) + (6 * 12) {17 is the first number after a multiple of 4 (16). As a result, 25 by 17 will end in "25." 25 by 17 is 425.}
425 + (24 * 13) + (6 * 12) {24 by 13 is 312.}
425 + 312 + (6 * 12) {6 by 12 is 72.}
425 + 312 + 72 {From left to right, add 425, 312, and 72 to get 809}
737 + 72
809 km²
The area of this figure is 809 km².
whats the answer to this please
Answers
bubuoin ba ng salita yan
If the base of a rectangle is 27.4 mm and the area is 420.92 mm2 what is the height of the rectangle?
Answers
Answer:
15.36mm
Step-by-step explanation:
The area of a triangle can be defined as B x H or L x H,
In your case, I'm assuming you meant base as length, so just plug into the equation:
L x H = 420.92mm2
27.4 x H = 420.92
H = 15.36
If you want to be exact, it is 15.3620438
The required height of the rectangle is 15.36 for the base of a rectangle is 27.4 mm and the area is 420.92 mm2.
The base of a rectangle is 27.4 mm.
The area is 420.92 mm2.
What is the height of the rectangle is to be determined.
The rectangle is 4 sided geometric shape whose opposites are equal in lengths and all angles are about 90°. Beside of square its pair of opposide sides are named as length and width sometimes base and height according to the mentions.
The area of a rectangle is a product of is two adjacent sides i.e. length * width
Area of the rectangle = height * base
420.92 = 27.4 * height
height = 420.92/27.4
height = 15.36
Thus, the required height of the rectangle is 15.36 for the base of a rectangle is 27.4 mm and the area is 420.92 mm2.
Learn more about rectangles here:
brainly.com/question/15019502
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