The measure of AB and EF for the similar triangle ABC and DEF are 4 and 12 respectively.
What are similar triangles?Similar triangles are triangles that have the same shape, but their sizes may vary.
In similar triangles, corresponding sides are always in the same ratio. The angles are congruent.
ΔABC is similar to ΔDEF. Therefore, the sides will form a ratio.
AC / DF = BC / EF = AB/DE
AC = 10
DF = 20
DE = 8
BC = 6
Hence,
10 / 20 = AB / 8
cross multiply
20AB = 80
AB = 80 / 20
AB = 4
Hence,
10 / 20 = 6 / EF
10EF = 120
EF = 120 / 10
EF = 12
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Fifty is a composite number. Use
a factor tree to find the prime
factorization of 50.
Answer:
2*5*5
Step-by-step explanation:
50 ---> 25 * 2
25 = 5*5
50 = 2*5*5
Hope this helps :)
Have a nice day!
Find the measures of the angles in each triangle.
Answer:
55°
Step-by-step explanation:
so,area of a triangle is equal to 180°which means:(x-2)° + x° + 72° =180°take 72° to the other side and it will be negative(x-2)°+x°=180°-72°=108x-2+x=108x+x=1102x=110x=55I hope that helps
Kenji and Isabel are standing exactly opposite one another on the banks at the edge of either side of a 40 m wide river. Isabel turns and walks 13 m along the bank of the river. About how far apart is Isabel from Kenji after Isabel walks along the bank of the river? Enter your answer, rounded to the nearest meter, in the box.
Answer:
42
Step-by-step explanation:
40^2+13^2=x^2
1600+169=x^2
1769=x^2
1769−−−−√=x2−−√
±42≈x
Find the area of the regular 18-gon with Radius is 7 mm
sin(α)=725 sin ( α ) = 7 25 and α is in quadrant II and cos(β)=8/7
Answer:
sin (α )= 72 5sin (α) = 725
Step-by-step explanation:
A recipe for potato salad calls for 3/4 cup of Mayo for 5 servings. How many cups of Mayo are neeed for 30 servings of potato salad?
Answer:
[tex]\frac{9}{2}[/tex]
Step-by-step explanation:
cup of mayo used for 5 servings = [tex]\frac{3}{4}[/tex]
cup of mayo used for 1 servings = [tex]\frac{3}{4}*\frac{1}{5}=\frac{3}{20}[/tex]
cup of mayo needed for 30 servings= [tex]\frac{3}{20}*30=\frac{9}{2}[/tex]
If the point (-1.9, -2) is reflected across the x-axis, which quadrant will it be in?
Answer: im pretty sure it would be in the 2nd quadrant. cause its -1.9, -2 so that i think is in 3rd quadrant so reflected woud be in 2nd quadrant
hope this makes sense
Answer:
Quadrant 1
The since both of the coordinates are negative, they'll take place in Quadrant 3, so if it was the opposite (mirrored), they would both be positive making them be in Quadrant 1.
How many pounds is 3/12 and 1/12?
Answer:
Step-by-step explanation:
Remark
This is just a matter of adding 2 fractions and reducing the result
Givens
f1 = 3/12
f2 = 1/12
Equation
Answer = f1 + f2
Solution
answer = 3/12 + 1/12
The denominators are the same. The answer will have the same denominator
Answer = (3 + 1)/12
Answer = 4 / 12
The answer has a common factor in both the top and bottom of the fraction (4 is the common factor).
Therefore divide the top and bottom by 4
Answer = 4/4 // 12/4
Answer = 1 / 3
please help me find DE
You can split up the length of AE into the lengths of the line segments connecting adjacent points:
AE = AB + BC + CD + DE
Plug in everything you know and solve for DE :
9 = (2 1/2) + (4 1/3) + (1 2/3) + DE
Rewrite the mixed numbers as improper fractions with a common denominator.
2 1/2 = 4/2 + 1/2 = 5/2 = 15/6
4 1/3 = 12/3 + 1/3 = 13/3 = 26/6
1 2/3 = 3/3 + 2/3 = 5/3 = 10/6
9 = 54/6
So we have
54/6 = 15/6 + 26/6 + 10/6 + DE
⇒ DE = (54 - 15 - 26 - 10)/6 = 3/6 = 1/2
(It looks as though you will need to enter 1 in the top box and 2 in the bottom one)
Question 8 of 10
If a student answered 69 exam questions correctly out of 100, what fraction
and what percentage of questions did the student answer incorrectly?
Choose two answers. Need help ASAP
A.
30/100
B. 0.69%
C. 31%
D. 69%
E. 31/100
F. 69/100
Answer: I believe B and F
Step-by-step explanation:
Jody is buying a scrapbook and sheets of designer paper. She has
$40 and needs at least $18.25 to buy the scrapbook. Each sheet of
paper costs $0.34.
How many sheets of paper can she buy?
Answer:
Step-by-step explanation:
$40 - $18.25 = $21.75
she has $21.75 to buy the paper with
21.75 divided by 0.34 is 63.971...
this means she only has enough money to buy 63 sheets of paper
leaving her with only 33 cents
PLEASE ANSWER! WILL GIVE BRAINLIEST!
The horizontal lines (l and m) are parallel. They are crossed by two transversals (lines a and b).
Transversals a and b intersect to make a triangle. The m∠1 = 75°, and the m∠4 = 50°.
1. What is the m∠5? Explain how you know. (2 points)
2. What is the measure of the sum of the angles in a triangle? (2 points)
3. ∠3 is in a triangle with ∠4 and ∠5. Write and solve an equation to find the m∠3. (2 points)
4. What is the measure of a straight angle? (2 points)
5. ∠2 is in a straight line with ∠1 and ∠3. Write and solve an equation to find the m∠2. (2 points)
1. m∠5 = 75° (corresponding angles theorem)
2. Sum of angles in a triangle = 180°
3. m∠3 = 55°
4. Straight line angle = 180°
5. m∠2 = 50°
What is the Corresponding Angles Theorem?If two corresponding angles are formed when a transversal intersect parallel lines, they are both congruent based on the corresponding angles theorem.
1. m∠5 = m∠1 (corresponding angles theorem)
m∠5 = 75°
2. Sum of angles in a triangle = 180°
3. m∠3 + m∠4 + m∠5 = 180° (sum of triangle)
Substitute
m∠3 = 180 - 50 - 75 = 55°
4. Straight line angle = 180°
5. m∠2 = 180 - m∠3 + m∠1 (straight line angle)
m∠2 = 180 - 55 - 75
m∠2 = 50°
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Write the multiplication equation that represents the model
Answer:
2/3 × 2/5 = 4/15
Step-by-step explanation:
see image. If you just look at the horizontal lines the rectangle is divided into thirds. Two of the sections are highlighted indicating 2 out of 3, or 2/3.
If you then consider the vertical lines. There are 5 sections and 2 out of the 5 are highlighted indicating 2/5.
When you overlap both images (which is what the original image you posted was) you get a small section that is doubly highlighted. In your original image it is kind of purple (I marked them in yellow) In the double-layered image, there are 15 small sections. 4 are highlighted (double-highlighted) This is 4/15.
2/3 × 2/5 = 4/15
I supposed it could also be
2/5 × 2/3 = 4/15
Numerically, these are the same. They have the same result. I hope this helps!
Question is in picture
Answer: Heat pollution.
If you are to search up
heat pollution occurs because?
the answer that will pop up is:
The main reasons of thermal pollution are industries and power plants, withdrawing water (a powerful sink for heat waste) from streams for cooling their generators and machines, and then releasing back into the water bodies, which elevates the temperature of freshwater habitats (Miara et al., 2018).
Solve 4\left| {x + 5} \right| + 8 = 244∣x+5∣+8=24.
Isolate the absolute value term:
4 |x + 5| + 8 = 24
4 |x + 5| = 16
|x + 5| = 4
By definition of absolute value,
• if x + 5 ≥ 0, then |x + 5| = x + 5, and so
x + 5 = 4
x = -1
• otherwise, if x + 5 < 0, then |x + 5| = -(x + 5), and so
-x - 5 = 4
-x = 9
x = -9
Find the turning point of y=x^2+10x+12
Answer:
vertex = (- 5, - 13 )
Step-by-step explanation:
given a quadratic in standard form : y = ax² + bx + c ( a ≠ 0 )
then the x- coordinate of the turning point ( vertex) is
x = - [tex]\frac{b}{2a}[/tex]
y = x² + 10x + 12 ← is in standard form
with a = 1, b = 10 , then
x = - [tex]\frac{10}{2}[/tex] = - 5
substitute x = - 5 into the equation and evaluate for y
y = (- 5)² + 10(- 5) + 12 = 25 - 50 + 12 = - 13
turning point = (- 5, - 13 )
Please help me with this! 30 POINTS!
Answer:
B) -2⅛
Step-by-step explanation:
All other options are irrational
Simplifly the expression: x-3x-(-5x)
Answer:
The answer is 3x.
Step-by-step explanation:
I used a calculator
A train travels 71 km in 28 minutes. what is its speed in kilometers per hour? 
the final price of a book is $27 dollars. An 8% sales tax was added to the original price, then you used a coupon for 50% off. What was the original price of the book?
Answer:
14.58
Step-by-step explanation:
x\27 = 54/100 cross multiply then divide by 100% x=Original price
so then you'll get 14.58
Which expression is equivalent to the following complex fraction?
Answer:
[tex]\frac{2y-1}{3y+1}[/tex]
Step-by-step explanation:
[tex]\frac{2-\frac{1}{y} }{3+\frac{1}{y} }[/tex] ( multiply numerator and denominator by y to clear the fractions )
[tex]\frac{2-\frac{1}{y} }{3+\frac{1}{y} }[/tex] × [tex]\frac{y}{y}[/tex]
= [tex]\frac{2y-1}{3y+1}[/tex]
5x+2y=-3
-3x-y=2
Use determinant method and Gauss Jordan Elimination method to solve the systems of linear equation.
please with working out
In centimeters, what is the unknown length in this right triangle?
A right triangle with side length 60 centimeters, x, and hypotenuse of 61 centimeters.
Answer:
Given:-Side length ( perpendicular = 60 cm)
Hypotenuse = 61 cm
To find :-Base length
Solution:By Pythagoras theorem ,
Hypotenuse² = Perpendicular² + Base²
61² = 60² + base²
3721-3600 = Base²
√121 = base
11cm = base
Answer:
Base = x = 11 cmStep-by-step explanation:
In the question we are given ,
Side length ( Perpendicular ) = 60 cm Hypotenuse = 61 cmAnd we have asked to find the length of base that is denoted by x .
Solution : -
According to Pythagoras Theorem ,
[tex] \longrightarrow \purple{\boxed{H {}^{2} = P {}^{2} + B {}^{2} }} \longleftarrow[/tex]
Where ,
H = HypotenuseP = PerpendicularB = BaseNow , substituting value of hypotenuse, perpendicular and base :
[tex] \hookrightarrow \: 61 {}^{2} = 60 {}^{2} + x {}^{2} [/tex]
Now by squaring 61 and 60 , we get :
[tex] \hookrightarrow \:3721 = 3600 + x {}^{2} [/tex]
Now transposing 3600 to left hand side :
[tex] \hookrightarrow \:3721 - 3600 = x {}^{2} [/tex]
Now subtracting 3600 from 3721 :
[tex] \hookrightarrow \:121 = x {}^{2} [/tex]
[tex] \hookrightarrow \: \sqrt{121} = x[/tex]
We know that 11 × 11 is equal to 121 that means square root of 121 is 11 . So :
[tex] \hookrightarrow \: \red{ \boxed{11 \: cm = x}}[/tex]
x = baseHenceforth, length of base of right triangle is 11 cm .#Keep LearningA raffle ticket is sold for $3.50 each and the prize for winning the raffle is $250. If 100
people entered the raffle, what is:
the expected value? =
are you expected to win or lose the raffle? =
a fair price for the raffle ticket? =
Variability ? I'm confused
solve 3/8[-8+16-(-2 1/2)]
3.375
hope it helps...!!
Financial algebra -
Charles is 45 years old, and makes $40,000 per year. If he were to die, how
much would the beneficiaries of his life insurance policy receive if they can
get by on 60% of his income?
Answer: The Beneficiaries will get 24,000 dollars in total
Step-by-step explanation:
1.) Step one is you would have to divide 40,000 by 60 because that will be how much they would get
2,) Step two is box you answer
Help help help help math math
Answer: -4
Step-by-step explanation:
[tex]\frac{a}{4} +3=2[/tex]
Start by subtracting 3 from both sides
[tex]\frac{a}{4} +3=2\\\frac{a}{4} +3-3=2-3\\\frac{a}{4} =-1[/tex]
Now multiply each side by 4
[tex]\frac{a}{4} =-1\\\frac{a}{4}(4) =-1(4)\\a =-4\\[/tex]
Please please help!!! will give brainliest
Answer: i think the answer is 116. if it is not i am terribly sorry.
Step-by-step explanation:
Which of the following sets of numbers is a Pythagorean triple?
14, 40, 50
7, 24, 31
7, 20, 27
14, 48, 50
Answer:
the answer your looking for would be 14, 48, 50.
Step-by-step explanation:
Hope this helps!
Answer:
14, 48, 50 have a good day
Step-by-step explanation: