Answers
Answer:
Step-by-step explanation:
[tex]\frac{25}{20}=\frac{30}{4x-4}\\\frac{30}{1.25}=4x-4\\x=7[/tex]
Answer:
x = 7
Step-by-step explanation:
I'm assuming ΔJKL and ΔMNP are similar as you wouldn't be able to solve it otherwise. ∠J≅∠M and ∠K≅∠N, so I assume its just a poorly formed question.
With that assumption made, if 2 triangles are similar, the scale factor on all sides are equal. That means this:
[tex]\frac{JK}{MN} =\frac{JL}{MP}[/tex]
The scale factor is just the new length divided by the old length, and that equation shows the scale factor on both of those side lengths are the same. With 3 of the 4 side lengths, you can plug those values in and solve for the last unknown.
[tex]\frac{25}{30} =\frac{20}{4x-4}[/tex]
I use cross multiplication here:
[tex]25(4x-4)=20(30)\\100x-100=600\\100x=700\\x=7[/tex]
Related Questions
A study investigated the job satisfaction of teachers allowed to choose supplementary curriculum for their classes versus teachers who were assigned all curricular resources for use in their classes. On average, when surveyed regarding job satisfaction, teachers give a score of 3. 3 out of 5 with a standard deviation of 0. 6. When the authors of the study interviewed 40 teachers who supplemented with their own materials, they found 3. 5 to be the mean. The authors wanted to know if the group of teachers that could choose supplementary curriculum had a higher level of job satisfaction. They used a significance level of 1%. Which of the following statements is valid based on the results of the test? The data shows that teachers allowed to choose supplementary curriculum for classes are more satisfied with their jobs. The data shows that teachers who were assigned all curricular resources for classes are more satisfied with their jobs. The data shows that there is no difference in job satisfaction between the two groups of teachers. The data shows that the authors cannot make a determination either way with this data.
Answers
Answer:the data shows that the authors cannot make a determination either way with this data
Step-by-step explanation:
Answer:
D
Step-by-step explanation:
on edge
The solution a+b>-9 is a >-25. What is the value of b
Answers
Answer: b > 16
Step-by-step explanation:
Because a > -25, b must be at least greater than 16, as if a is -25.1, for example, b must be 16.11.
evaluate 10-(5-(4-(8-2))
Answers
=》The answer is 3.
Steps are in the attachment.
______
Hope it helps :)) ⚜
Answer:
The answer is 3
Step-by-step explanation:
By using PEMDAS, calculate the parenthesis first.
10-(5-(4-(8-2))
10-(5-(4-6)
10-(5-(-2)
10-7
= 3
convert
d) 14 yd² to ft²
e) 5.4 cm² to mm²
Answers
Answer:
14 yd²= 126 ft²
5.4 cm² = 540 mm²
please I need help solving the equation, -2/5c < 9
Answers
Answer:
c > -22 1/2
Step-by-step explanation:
Step 1: Multiply both sides by -5/2 and flip the sign.
[tex]-\frac{2}{5}c * -\frac{5}{2} < 9 * -\frac{5}{2}[/tex] [tex]c > -\frac{45}{2}[/tex] [tex]c > -22\frac{1}{2}[/tex]Therefore, the answer is c > -22 1/2.
solve for x:2a+5=11
Answers
[tex]2a + 5 = 11 \\ = > 2a = 11 - 5 \\ = > 2a = 6 \\ = > a = \frac{6}{2} \\ = > a = 3[/tex]
Answer:a = 3
Hope it helps.
Do comment if you have any query.
Find the area of the shaded portion.
6
120
Answers
Answer:
A = 36√3 - 12π
Step-by-step explanation:
Make 2 identical 30-60-90 triangles out of the "wedge"
For each 30-60-90 triangle:
Since the short leg is 6 the long leg is 6√3
short leg is the base and long leg is the height
a = (1/2)bh
a = (1/2)(6)(6√3)
a = 3(6√3)
a = 18√3
Since there are 2 triangles
a = 36√3
--------------------------------
Then subtract off the area of the 120º sector
a = (120/360)πr^2
a = (1/3)π(6^2)
a = (1/3)π(36)
a = 12π
Shaded area
a = 36√3 - 12π
Step-by-step explanation:
we have the areas of 2 right-angled triangles minus 1/3 the area of the circle (because the 120 degree segment of the circle is 1/3 of the whole 360 degree circle).
since the answer is asking for a square root, we need to aim for the result of a Pythagoras calculation.
basically, the area of a triangle is
1/2 × b×c × sin(A)
A being the angle between the 2 sides b and c. for any 2 sides of the triangle.
one triangle is from the outmost left point to the center of the circle and up to the 90 degree angle. the other triangle is then down to the second right angle.
we know all angles in such a triangle : 90, 120/2 = 60, 180-90-60 = 30.
remember, the sum of all angles in a triangle is 180 degrees.
so, via the law of sines we can then calculate all sides :
a/sin(A) = b/sin(B) = c/sin(C)
with the angles being opposite of the sides.
6/sin(30) = baseline/sin(90)
6/0.5 = baseline/1
12 = baseline
top side² + 6² = 12²
top side² = 12² - 6² = 144 - 36 = 108
top side = sqrt(108) = sqrt(36×3) = 6×sqrt(3)
we pick then top side and 6 as the 2 sides, so that we can use sin(90)=1 in the formula.
the area of the 2 triangles is then
6×sqrt(3)×6×sin(90) = 36×sqrt(3)
and the circle segment to be deducted is
pi×r²/3 = pi×6²/3 = pi×36/3 = pi×12
so, the complete answer is
A = 36×sqrt(3) - 12×pi
Help!! (Question in picture)
Answers
Answer:
A, B, C are perfect squares. Their roots are 22, 66, 89.
D is not a perfect square. The root is about 94.995
Step-by-step explanation:
Your calculator can help. The integer is a perfect square if its square root is an integer.
A. √484 = 22 . . . . 484 is a perfect square
B. √4356 = 66 . . . . 4356 is a perfect square
C. √7921 = 89 . . . . 7921 is a perfect square
D. √9024 ≈ 94.9947... . . . . not a perfect square
__
Additional comment
When you compute the square root using the "long division" method, the first step is to divide the radicand into groups of 2 digits. The most significant digit of the root will be the root of the largest square less than the leftmost group.
For example, the first step in finding the root of 4356 is to divide it into the groups 43'56'. The most significant digit of the root will be 6, because 36 = 6² is the largest square less than or equal to 43.
If the number is a perfect square, the least-significant digit of the radicand will be the least-significant digit of the square of the least-significant digit of the root. Here, the least digit of 43'56' is 6, which can only be the least-significant digit of 4² = 16 or 6² = 36. No other single digits have a square ending in 6.
So, if the number 4356 is a perfect square, it must be the square of 64 or 66. It is the square of 66. (If you're familiar with powers of 2, you know 64²=4096.)
Is that the correct answer for it please help me. I want to past my ecam
Answers
Answer:
No answer is be 28%
5+9+7+4=25
7/25 + .28 =28%
Step-by-step explanation:
please explain this got a final tomorrow
Answers
Answer:
9/9=(1/2x+2)/x_2x_2=1/2x+21/2x=4x=8please can someone help me with this question. I will mark as brainliest!
Answers
Then add the similar terms
Hope this helps
if you add -10 to 4 times the mystery number you get 0 what is the mystery number?
Answers
Answer:
2.5
Step-by-step explanation:
2.5x4=10
10-10=0
The two lines graphed below are not parallel. How many solutions are there to the system of equations? 5 3 O A. Two O B. Zero O C. Infinitely many O D.One
pls help ill give brainliest to whoever gets it right
Answers
Answer:
D
Step-by-step explanation:
Jillian and Camilla need 5 feet of ribbon to make a craft. Jillian has 2 4/5 feet of ribbon. Camilla has 2 3/5 feet of ribbon. How much ribbon do they have altogether? Select all that apply. *
Answers
Answer:
5 2/5 ft
Step-by-step explanation:
2 4/5 + 2 3/5 = 4 7/5 = 4 + 5/5 + 2/5 = 4 + 1 + 2/5 = 5 2/5
Answer:
5 2/5 feet of ribbon
Step-by-step explanation:
2 4/5
+ 2 3/5
5 2/5
plz mark brainliest
!!!!5 step plan!!!!!
The width of a rectangle is 5 cm more than twice the length the perimeter is 56 cm find the dimensions of the rectangle
Answers
Answer: W = 20 1/3, L = 7 2/3 cm
Step-by-step explanation:
Width, W, is 5 cm more than twice the length of the perimeter.
Perimeter = 2W + 2L
W = 2L+5
Perimeter is 56cm:
56 cm = 2W + 2L
Substitute W = 2L + 5 for W:
56 cm = 2W + 2L
56 cm = 2(2L+5) + 2L
56 cm = 4L + 10 + 2L
6L = 46 cm
L = 7 2/3 cm
Since W = 2L + 5
W = 2(7 2/3) + 5
W = 2 (23/3) + 5
W = 46/3 + 5
W = 15 1/3 + 5
W = 20 1/3
2W + 2L = P?
2(20 1/3) + 2(7 2/3) =56 ?
40 2/3 + 15 1/3 = 56?
56 = 56 YES
Explain in detail how would you plot the points -1, 5, -2.5, -3, and 2 on the number line. What is the order of the numbers?
PLEASE HELP!!
WILL GIVE BRAINLIEST
ANY WRONG ANSWERS OR LINKS WILL BE REPORTED!!!
Answers
Answer:
-3 -2.5 -1 2 5
Step-by-step explanation:
In order to do this you can look on a number line or you could look at the numbers carefully and the biggest number with a minus is what you start with and end it with a positive number.
What percentage of businesses are using social media today? 35 percent 50 percent 65 percent 80 percent
Answers
Answer:
80
Step-by-step explanation:
Please help! :0 :0 PLEASEEEEEE
Answers
Answer:
i would say either F or G
i guess choose F
Answer:
8
Step-by-step explanation:
Translate to an algebraic expression
1. double a number increased by one is seventeen
2. Three less than a number is twelve
3. Triple a number is the same as double the number increased by five
4. Double a number increased by two is the same as the sum of the number and eight
Answers
Answer:
1) 2n + 1 = 17
2) n - 3 = 12
3) 3n = 2n + 5
4) 2n + 2 = n + 8
Step-by-step explanation:
Use "n" to represent the unknown number.
For question one:
we double the number → 2n
then we increase (add) by one → + 1
is (equal) to seventeen → = 17
For question two:
three less (minus) than a number is (equals) twelve → n - 3 = 12
Question three:
triple (times 3) a number is the same (equal) as double (times 2) the number increased (add) by five → 3n = 2n + 5
Question four:
double (times two) a number increased (add) by two is (equals) the same as the sum (add) of the number and eight → 2n + 2 = n + 8
Solve the equation for X:
4x2 + 15x = 4
Answers
Answer:
15x=-4
Step-by-step explanation:
Solve each proportion.
5/n=6/12
Answers
Answer:
5/n=6/12n = 6/12×5n = 6/60n =1/ 10n = 1:10Please explain.
No bit links.
Answers
Answer:
Top right
Step-by-step explanation:
The equation is saying that x is greater than or equal to the number two. That mean our line will be bold and not dotted and the the shaded area will be everywhere past the 2 line
X=
A. 30
B. 70
C. 110
D. 130
Answers
Answer:
Step-by-step explanation:
the answer is D)130 hope it helps
Which is the reciprocal of 1 6/7
Answers
Answer:
7/13
Step-by-step explanation:
You would first have to turn the fraction into an improper fraction to find the reciprocal of the fraction!
1 6/7 = 13/7
Reciprocal means reverse, so reverse the improper fraction of 13/7 to get 7/13!
I hope this helps you!
a string 27.2 meters long is cut into shorter pieces, each measuring 3.4 meters long. How many pieces were cut from the 27.2-metres string ?
Answers
Answer:
There are 8 pieces of string cut
Explanation:
27.2 ÷ 3.4 = 8
How do you write 7,700,000 in scientific notation?
Answers
Answer:
7.7 × [tex]10^{6}[/tex]
Step-by-step explanation:
Start off with finding the digits in this case it would be 7,700,000
Now insert a decimal so that it is a number under 10.
That would be 7.7
to figure out what the exponent would be you have to count how many "jumps" the decimal takes to get back to the original number.
It would take 6 "jumps" to end up back to 7,700,000
Now that we have that information we can make the scientific notation
1) Take the number (7.7)
2) Multiply the number by 10 with the exponent of "jumps"
Thus,
7.7 × [tex]10^{6}[/tex]
4/9 plus -6/9
PLS I NEED HELP ASAP
Answers
Answer:
-2/9
Step-by-step explanation:
Since the denominators are the same, we can combine like terms
4/9 + (-6/9)
-2/9
[tex] \: \: \: \: \: \: [/tex]
[tex] = - \frac{2}{9} [/tex]
Step-by-step explanation:
[tex] \frac{4}{9} + \frac{ - 6}{9} [/tex]
write all numerators above the common denominator[tex] \frac{4 - 6}{9} [/tex]
calculate the difference[tex] \frac{ - 2}{9} [/tex]
[tex]use \: \: \frac{ - a}{b } = \frac{a}{b} = - \frac{a}{b} \: \: \: \: to \: \: rewrite \: \: the \: \: fraction[/tex]
[tex] = - \frac{2}{9} \\ \\ or \: \: in \: \: alternate \: form \\ \\ - 0.2[/tex]
hope it helps[tex] \: \: \: \: \: \: [/tex]
Guys need help with c,f,g,j
Answers
Answer:
Step-by-step explanation:
2.5(10x +8) + 3x distributive property
Answers
Answer:
23/25
Step-by-step explanation:
(25x+20)/25x+3x/25x
20+3/25=23/25
28x+20
Step-by-step explanation:
[tex]2.5(10x + 8) + 3x \\ 25x + 20 + 3x \\ 28x + 20[/tex]
Find values of x and y
Answers
Answer:
x=15
y= 21
Step-by-step explanation:
6x-11+x+5+81=180
6x+x+86-11=180
7x+75=180
-75. -75
7x=105
--- ----
7. 7
x=15
substitute the x value we just got into the following equation to find y
4y-18+y+14+6x-11=180
4y-18+y+14+6(15)-11=180
4y+y+14+79-18=180
5y+75=180
-75 -75
5y=105
---- -----
5. 5
y=21