Applying the properties of similar triangles, the other side lengths of ΔDEF are: B. 9 and 12
Properties of Similar Triangles:
The ratio of the corresponding sides two triangles that are similar to each other are the same/equal.Given that ΔABC and ΔDEF are similar triangles, therefore:
Let, a = 6, b = 8, and c = 12 be the sides of ΔABC.Let, x, y, and z be the sides of ΔDEF.Let z = 18Thus:
a/x = b/y = c/z
Substitute6/x = 8/y = 12/18
Find x using 6/x = 12/18:
6/x = 12/18
Cross multiplyx = [tex]\frac{18 \times 6}{12}[/tex]
x = 9
Find x using 8/y = 12/18:
8/y = 12/18
Cross multiplyx = [tex]\frac{18 \times 8}{12}[/tex]
x = 12
Therefore, applying the properties of similar triangles, the other side lengths of ΔDEF are: B. 9 and 12
Learn more about similar triangles on:
https://brainly.com/question/11899908
expression 5n + 2 can be used to find the total cost in dollars of bowling where n is the number of games bowled and 2 represents the cost of shoe rental. How much will it cost Vincent to bowl 3 games?
Answer:
$17
Step-by-step explanation:
n=3
5*3=15
15+2=17
PLEASE HELPPPPP
Use the information to answer questions 14 – 17.
Leah would like to earn at least $120 per month. She babysits for $5 per hour and works at an ice cream shop for $8 per hour. Leah cannot work more than a total of 20 hours per month. Let x represent the number of hours Leah babysits and let y represent the number of hours Leah works at the ice cream shop.
Which pair (x, y) represents hours that Leah could work to meet the given conditions? Select all that apply.
A.
(2.5, 15)
B.
(5, 20)
C.
(7.5, 12.5)
D.
(17.5, 5)
E.
(19, 1)
Answer:
x ≤ 13 2/5 and y ≥ 6 2/3
Step-by-step explanation:
system of equations would be:
x + y ≤ 20
5x + 8y ≥ 120
if you solve this system you get the answer above
the repayment on a loan was Php 23600. If the loan was for 18 months at 12% interest in year, how much was the principal?
If the repayment on a loan was Php 23600, the principal amount is equal to Php 131,111.11.
Given the following data:
Interest rate = 12%Simple interest = Php 23600Time = 18 monthsConversion:
12 months = 1 year
18 months = 1.5 year
To calculate the principal amount if the interest rate is 12% a year:
Mathematically, simple interest is given by the formula:
[tex]S.I = \frac{PRT}{100}[/tex]
Where:
S.I is the simple interest.P is the principal amount.R is the interest rate.T is the time measured in years.Making P the subject of formula, we have:
[tex]P = \frac{100S.I}{RT}[/tex]
Substituting the given parameters into the formula, we have;
[tex]P = \frac{100 \times 23600}{12 \times 1.5}\\\\P = \frac{2360000}{18}[/tex]
Principal amount, P = Php 131,111.11
Read more: https://brainly.com/question/22621039
identify if the graph represents quadratic function
Answer:
Graph #2 for sure, both axis are linear and the curve is a parabola all right.
On graph #1: I can't for the life of me read the units on the Y axis, so you have to check: if they're going 2000 4000 6000, then that is a parabola as wel. If they're increasing esponentially, ie 2000 4000 8000, then one of the two axis is logarithmical and the curve is no longer quadratic.
help me please i’ll give you a brain list thingy thank youu
Answer:
Are the triangles similar?
1) Both triangles are congruent by SAS ( Side Angle Side ) Postulate
2) SAS Postulate
3) congruent by ASA Postulate
4) SSS Postulate
5) congruent by AAS Postulate
6) SAS Postulate
Isosceles and Equilateral Triangles
1) by isosceles something triangle theorem
if two angles of opposite sides are congruent the sides opposite of those are congruent.
4x-12=20
x=8
2) Triangle Sum Theorem - all angles add up to 180.
with Isosceles triangle theorem.
x= 70 degrees
y= 40 degrees
3) 2x-14 = x+17 ( I think )
x=34
4) The picture is cut out.
Step-by-step explanation:
If M.p = 3,240 and S.P = 2,754 then discount=
The discount is 486.
The discount will be:
= 3240 - 2754
= 486
What is domain and range
Answer: domain and range is the set of values that we are allowed to plug into our function.
Step-by-step explanation:
what is the weight of a square if a triangle weighs 4 grams
Answer:
8 grams
Step-by-step explanation:
Given the formula for area of a triangle versus a square:
Square = bh
Triangle = 1/2bh
A triangle has half of the area of a square, therefore it should weigh half as much. Multiply the weight by 2.
4 * 2 = 8
If Vincent travels 96 miles in 1.5 hours. What is
his rate of speed?
Answer:
64 Miles per hour
Step-by-step explanation:
hope this helps!
Chase has a $42,500 line of credit which charges an annual percentage rate of prime rate plus 5%. His starting balance on June 1 was $2,550. On June 4, he borrowed $5,300. On June 9, Chris made a payment of $800, and on June 17, he borrowed $5,600. If the current prime rate is 10%, what is his new balance?
The best interest rate which banks can charge a customer is the prime rate.
His new balance is $12,735.291[tex]\overline 6[/tex]Reasons:
The Annual Percentage Rate, APR = Prime + 5%
∴ APR = 10% + 5% = 15%
[tex]\displaystyle The \ periodic \ rate = \frac{15}{12} = 1.25 \%[/tex]
The balance on June 1 = $2,550
Daily balance, June 1 — 3 = $2,550 × 3 = $7,650
June 4 borrowed $5,300
The new unpaid balance = $2,550 + $5,300 = $7,850
Daily balance from June 5 — 8 = $7,850 × 3 = $23,550
Chris made payment on June 9
Unpaid balance = $7,850 - $800 = $7,050
Daily balance from June 9 — 16= $7,050 × 8 = $56,400
June 17 borrowed $5,600
Unpaid balance = $7,050 + $5,600 = $12,650
Daily balance June 17 — 30 = $12,650 × 14 = $177,100
Sum of daily balance = 7,650 + 23,550 + 56,400 + 117,100 = 204,700
[tex]\displaystyle Average \ daily \ balance = \frac{204,700}{30} = 6,823.\overline 3[/tex]
Finance charge = Average daily balance × Periodic rate
∴ Finance charge = $6,823.[tex]\overline 3[/tex] × 0.0125 = $85.291[tex]\overline 6[/tex]
New balance = Cash advance + Credits and payment + Previous balance + Finance charge
New balance = $2,550 + $5,300 - $800 + $5,600 + $85.291[tex]\overline 6[/tex]
= $12,735.291[tex]\overline 6[/tex]
Learn more here:
https://brainly.com/question/1420581
I need #7 done (show work) will give brainliest
Answer:
see explanation
Step-by-step explanation:
(7)
∠ RPS + ∠ QPR = ∠ QPS , substitute values
8x + 7 + 9x + 16 = 40 , that is
17x + 23 = 40 ( subtract 23 from both sides )
17x = 17 ( divide both sides by 17 )
x = 1
Sin x= cos y show that x+y=90
Answer:
just do sinx and cos y equal when x=y= multiple of pie by 4
Step-by-step explanation:
pie by 4 plus pie by 4 = 90
If I helped please mark brainliest it means a lot to my progression! <3 Thanks!
Can someone help please no links
Answer:
-4 or 4 I would have to go with-4!!
Step-by-step explanation:
I hope this helps in any way!!
The table shows the decay rate for a certain radioactive material over time. In this context, what does the y-intercept represent?
At 100 hours, there are 0 grams of the substance remaining.
At 100 hours, there are 100 grams of the substance remaining.
At 0 hours, there are 100 grams of the substance remaining.
At 0 hours, there is 1 gram of the substance remaining.
Answer:
At 0 hours, there are 100 grams of the substance remaining.
Step-by-step explanation:
Answer:
c
Step-by-step explanation:
I just did it on ed
3) Abhasra and Lisa each improved their yards by planting rose bushes and geraniums. They
bought their supplies from the same store. Abhasra spent $219 on 30 rose bushes and 11
geraniums. Lisa spent $420 on 6 rose bushes and 44 geraniums. Find the cost of one rose bush
and the cost of one geranium.
(EXPLAIN HOW DONE)
Answer:
Step-by-step explanation:
Let R and G stand for the prices of rose bushes and geraniums, respectively.
We are told that:
Abhasra: 30R + 11G = $219
Lisa: 6R + 44G = $420
Two equations and two unknowns. Eliminate one of the variables by substitution:
Let's start with
6R + 44G = $420
and try to eliminate the G. We note that the first equation, 30R + 11G = $219, can be multiplied by 4 to bring the geraniums up to the same as in the second equation:
6R + 44G = $420
4*(30R + 11G = $219) = 120R + 44G = 876
Now subtract this equation from the first:
6R + 44G = $420
-120R - 44G = -$876
-114R = -456
R = 4: Rose bushes are $4 each.
Now use R= $4 in either equation to find G:
6R + 44G = $420
6($4) + 44G = $420
$24 + 44G = $420
44G = $396
G = : Geraniums are $9.00 each.
. A National Institute of Health survey of 40467 U.S adults found that 3156 of them experienced at least one major depressive episode in the previous year. Make a 95% confidence interval for the proportion of all U.S. adults who experienced depression in that year. (Source: https://www.nimh.nih.gov/health/statistics/major-depression)
Using the confidence interval for sample proportion formula, the C.I is (0.075; 0.081)
Using the relation :
[tex]p ± z_{crit} \sqrt{ \frac{p(1 - p)}{n} } [/tex]
Sample size, n = 40467Sample proportion, p = 3156/40467 = 0.078Zcrit at 95% = 1.96Margin of Error = [tex] 1.96 \sqrt{ \frac{0.078(0.922)}{40467} } [/tex] Margin of Error = 0.0026128Lower boundary = 0.078 - 0.0026128 = 0.075
Upper boundary = 0.078 + 0.0026128 = 0.081
Hence, the confidence interval is (0.075; 0.081)
Learn more :
Work out the shaded area of this shape.
Answer:
look at the picture .................
3(x-2)=18 can somebody plzz help me
Answer:
x=8
Step-by-step explanation:
3(x-2)=18
3x-6=18
3x=18+6
3x=24
x=24/3
x=8
Given : Simplify 3(x - 2) = 18
Solution : According to the question, here we are given an equation i.e 3(x - 2) = 18 where we need to get the value of x by simplifying it.
3(x - 2) = 18Cross multiplying 3 to the other side
x - 2 = 18/3x - 2 = 6Transposing -2 to the right hand side of the equation to get +2
x = 6 + 2Adding them we get the final answer
x = 8Henceforth, the required answer is 8
Read the excerpt from the poem "Hide and Seek":
(21) I examine my hideout, the contours of the leaves,
(22) The blades of grass, a crawling caterpillar.
(23) The minutiae fascinate me, a world within my world.
(24) One touch from me, and the caterpillar lies curled.
(25) Isn't this a metaphor for life?
(26) I'm in a game within another game.
(27) We're all fascinated by ourselves, and our own life.
(28) How often do we acknowledge others' trouble and strife?
How does the point of view influence the description in lines 22-28?
A deeper connection is made and uses the setting to relate to life by the speaker.
A quick description of the hiding place is given at the end of the game by the speaker.
The other children's hiding spots are described by someone, not in the poem.
The setting is being described by someone who was not playing the game.
Answer:
A
Step-by-step explanation:
50 POINTS!!
Write an
equation for the circle with centre (0,0), if (12,5) lies on its circumference
Answer:
x² + y² = 169
Step-by-step explanation:
The equation of a circle centred at the origin is
x² + y² = r² ( r is the radius )
Given (12, 5 ) lies on the circumference , then the point will satisfy the equation.
Substitute (12, 5 ) into the equation
12² + 5² = r²
144 + 25 = r²
169 = r²
Then equation of circle is
x² + y² = 169
A small publishing company is planning to publish a new book. The production costs will include one-time fixed costs (such as editing) and variable costs (such as printing). The one-time fixed costs will total $26,780 . The variable costs will be $9 per book. The publisher will sell the finished product to bookstores at a price of $22 per book. How many books must the publisher produce and sell so that the production costs will equal the money from sales?
Answer: 2,435
Step-by-step explanation:
trust
what is x/7-6 i need help on this bud!
Answer:
answer is x-45/7 okayyyy
Answer:
X/7-6
lcm
X-6*7/7
Step-by-step explanation:
X-42/7 #
PLS HELP WILL MARK BRAINLIEST!
Answer:
10 adultsStep-by-step explanation:
Convert 50 kg into pounds:
50*2.2 = 110 lbsNumber of adults the elevator can take:
1200 / 110 = 10 (rounded down)Answer:
The Elevator can hold 10 adults
Step-by-step explanation:
Step 1- Convert kg to lbs to get 110lbs
Step 2- Divide 1200 (the elevators max compacity) by 110 to get 10
Step 3- The elevator can hold 10 adults
-Rocketgamer360
if anyone has mine.craft education edition, i just created a world and here the code
rail, llama, llama, cookie
:)))
what does the slope of jessicas function represent?
tyia
Answer:
The slope represents the rate of change of earnings in a week for every unitary change in number of doors knocked. For Jessica's function, her earnings change by +7 units for every unit of door she knocks.
Step-by-step explanation:
So, when comparing this to the meaning of slope stated above, we can say that the slope of Jessica's function represents the rate of change of earnings in a week for every unitary change in number of doors knocked.
50 ptssss
what is 2+2
Answer:
4!!!
Step-by-step explanation:
brainliest please?
Answer:
4
Step-by-step explanation:
I hope this helps!
1-2 what is the slope of the table
Answer:
1. the slope is 3/1 = 3
2. the y-intercept is 2
Step-by-step explanation:
hope this helps :)
Need help will give brainleist
f(10) basically means when x =10 what is our y value
in this case Y= 5
Need help with this question
A muffin recipe calls for 2 eggs to make 12 muffins.
If you want to make 36 muffins, what should you do?
Answer:
6 eggs
Step-by-step explanation:
since recipe states that to make 12 muffins you need 2 muffins
2. = 12
represent the unknown with x
2. = 12
x. = 36
Then you'll cross multiply
36 × 2 = 72
12x = 72
x = 72 ÷ 12
x = 6
