Which of the following is a true proportion of the figure based on the triangle proportionality theorem?
Question 7 options:
A)
h/k=k/i
B)
k/j=i/j
C)
h/j=k/i
D)
j/h=j/k
Answers
Answer:
C. [tex] \frac{h}{j} = \frac{k}{i} [/tex]
Step-by-step explanation:
Given that [tex] \overline{TU} [/tex] is parallel to [tex] \overline{QR} [/tex], therefore:
[tex] \frac{ST}{TQ} = \frac{SU}{UR} [/tex]
ST = h
TQ = j
SU = k
UR = i
Therefore substituting these into the equation, we have:
[tex] \frac{h}{j} = \frac{k}{i} [/tex]
Related Questions
Help!!! What is 3 to the 2/3 equal to?
Answers
Answer The second one
Answer:
the answer is 2√27.........
A dragon is given 630 ounces of magical potion to sustain her journey from Arlandia to Gargandua. While flying 4/7 of the distance, she drinks 2/9 of the potion. Suppose she continues to drink the magical potion at this rate for the remainder of her journey. How much potion remains when she reaches Gargandua?
Can someone help me with this question? I can't even start!
P.S. Answering this question will give you the highest credit!
Answers
Step-by-step explanation:
4/7 of distance = 2/9 of potion
=> 7/7 of distance = 2/9 * (7/4) = 7/18 of potion.
The dragon has used 7/18 of the potion for the journey, and only have 11/18 of it left.
Amount left = 630 ounces * 11/18 = 385 ounces.
PLEASE HELP!!!!!! 25PTS!!
Which statement explains why △ABC is congruent to △A′B′C′?
a)You can map △ABC onto △A′B′C′ by reflecting it over the y-axis and translating it 4 units down, which is a sequence of rigid motions.
b)You can map △ABC onto △A′B′C′ by reflecting it over the x-axis and translating it 7 units right, which is a sequence of rigid motions.
c) You can map △ABC onto △A′B′C′ by rotating it 90° clockwise about the origin and translating it 5 units right, which is a sequence of rigid motions.
d)You can map △ABC onto △A′B′C′ by reflecting it over line y = x and translating it 5 units right, which is a sequence of rigid motions.
Answers
Answer: B
Step-by-step explanation:
Please help me I need to turn in tomorrow please help!!!!
Answers
Answer:
5/7 which is option c the correct answer.
Answer:
C. 5/7 is the correct answer
Solve for x using the
distributive property.
2(x - 5) = 10
Answers
Answer:
x=10
Step-by-step explanation:
2x-10=10
2x=20
x=10
Answer:
x=10
Step-by-step explanation:
2(x - 5) = 10
You would first multiply 2 by x and 5
2x-10 = 10
then you would add ten to both sides
2= 20
then you would divide 2 by 20
x=10
Dexter runs around a track at 10 laps in 20 minutes. If he ran 32 laps at that rate, how long would it take him?
Answers
Answer:
64
Step-by-step explanation:
He will run 30 laps in 60 minutes because 10 times 3 and so if you divide 20 by 10 then he runs one lap in 2 minutes so 2 times 32 is 64 so it will take him that long
Rewrite with only sin x and cos x.
sin 2x - cos x
A. 2 sin x cos^2x
B. sin x
C. cos x (2 sin x - 1)
D. 2 sin x
Answers
Answer:
sin2x-cosx2sinx.cosx -cosxcosx (2sinx-1)What function is y= 11(0.75)
Answers
Answer:
I wish I had the answer for you since I feel the same way when I have a teast n iono the answer its soo stressing hope you have u get a good grade by finding the answer some how.
SRRY
MrShaggy has 420 bottles of dish soap, MrWings also has 351 bottles of dish soap, MrWings gives all of his soap to MrShaggy, But then MrShaggy gives those soap to MrAmazon, if we subtract 420 by 351, how many dish soaps are in all together?
Answers
Answer: 69
Step-by-step explanation:
420 - 351 = 69
Please help!!!!!!!!!!!!!!!!!!!!!!!
Answers
Answer:
Step-by-step explanation:
m<7=3x-10
m<3=2x+5
we know that from corresponding angle axiom that
m<7=m<3
3x-10=2x+5
3x-2x=10+5
x=15
m<7=45-10=35,
m<7=m<1=35
will give brainliest-----------
Answers
Answer: C
Step-by-step explanation:
1.25 + (- 0.75) is equal to 1.25 - 0.75.
1.25 is positive while - 0.75 is negative. So 1.25 is head toward the right while - 0.75 is head toward the left.
And when you substract them, you will get 0.5.
So the answer is C.
Plz help me and I’ll give u 5 stars
Answers
Answer:
He would drive 536 miles in 5 hours
Step-by-step explanation:
First set up your equation:
804 = 12x
Divide 804 by 12 and get 67 = x
Since per one hour you drive 67 miles, multiply 67 by 8 and get 536.
So, he drives 536 miles in 5 hours
Answer: I think 402
Step-by-step explanation: I divided 804 to 4 and I got 201 then I added 201+201= 402 and each 4 hours he went 201 miles so if you add 201 and 201 you get 402 miles. Hope it helped!! :)
What is the fifth term of the geometric sequence whose first three terms are 486, 162, and 54?
a. 2
b. 3
c. 4.5
d. 6
e. 9
Answers
Answer:
6
Step-by-step explanation:
an = ar^(n-1)
a = first term
n = nth term
r = common ratio
r = r2 / r1 = r3 / r2
The first 3 terms are :
486, 162, and 54
Hence,
a = 486
r = 162 / 486 = 1/3
Hence ;
a5 = 486(1/3)^5 - 1
a5 = 486(1/3)^4
a5 = 486(1 / 81)
a5 = 486 * 1 / 81
a5 = 486 / 81
a5 = 6
The 5th term of the geometric progression will be ; 6
I need the answer ASAP
Answers
Answer: C) Bottom Left Graph
Step-by-step explanation:
Functions can only have one y value for each x value. Each input has a single output. The only graph that satisfies this is the third graph on the bottom left.
The steps Thomas used to solve an equation are shown.
Given: 10-2(x-1)=8
Step 1: 8(x-1)=8
Step 2: x-1=1
Step 3: x=2
Answers
Answer:
There is an error in step 2
Step-by-step explanation:
you have to multiply -2 with x and -1 first and not subtract -2 from 10 first.
Answer:
there is an error in step 2
Step-by-step explanation:
10-2(x+1)=8
8(x-1)=8
8x-8=8
+8 +8
8x= 16
/8 /8
x=2
In ΔSTU, u = 220 cm, ∠T=145° and ∠U=18°. Find the length of s, to the nearest 10th of a centimeter
Answers
Answer:
208.1
Step-by-step explanation:
Delta math
(3,4);m=-z in point slope formula
Answers
Given:
Point = (3,4)
Slope : m = -z
To find:
The point slope formula.
Solution:
Point slope form: If a line passes through the point [tex](x_1,y_1)[/tex] and having slope m, then the point slope form of the line is
[tex]y-y_1=m(x-x_1)[/tex]
The line passing through the point (3,4) and having slope -z.
Putting [tex]x_1=3,y_1=4, m=-z[/tex], we get
[tex]y-4=-z(x-3)[/tex]
Therefore, the required point slope form is [tex]y-4=-z(x-3)[/tex].
Factor 64b - 16c to identify the equivalent expressions.
2 correct answers
Answers
Answer:
16(4b - 1c)
Step by step explanation:
The gcf is 16.
so you divide 16 by both numbers
and
you have to start forming the equation
16(4b - 1c)
picture below/above..............
thanks
Answers
Answer:
a=33
hope it helps again.
Answer:
7.2" was replaced by "(72/10)". 2 more similar replacement(s)
(38/10)-(p/3-(72/10))=0
36
Simplify ——
5
38 P 36
—— - ( — - ——) = 0
10 3 5
The left denominator is : 3
The right denominator is : 5
Least Common Multiple: 15
L. Mult. • L. Num. p • 5
—————————— = —————
L.C.M 15
R. Mult. • R. Num. 36 • 3
—————————— = —————
L.C.M 15
p • 5 - (36 • 3) 5p - 108
——————— = —————
15 15
19
Simplify ——
5
19 (5p - 108)
—— - —————— = 0
5 15
The left denominator is : 5
The right denominator is : 15
L. Mult. • L. Num. 19 • 3
——————— = ————
L.C.M 15
R. Mult. • R. Num. (5p-108)
————————— = ————
L.C.M 15
19 • 3 - ((5p-108)) 165 - 5p
————————— = ——————
15 15
165 - 5p = -5 • (p - 33)
-5 • (p - 33)
—————— = 0
15
-5•(p-33)
—————— • 15 = 0 • 15
15
-5 • (p-33) = 0
-5 = 0
p-33 = 0
p = 33
If anyone could please solve this for me and give me a simple explanation as to how I will greatly appreciate it!
Answers
Answer:
I am sorry I dont understand it
Step-by-step explanation:
Name the coordinates of each star in the map of a galaxy far, far away.
Answers
Answer:
they were each far far away from each other
Step-by-step explanation:
in a fractin which numbe represents a whole fraction ?
Answers
A bag contains 2 red marbles, 3 green marbles, and 4 blue marbles.
If we choose a marble, then another marble without putting the first one back in the blag, what is the
probability that the first marble will be green and the second will be red?
Answers
Answer:
number of green ÷ total number of marbles
times by
number of red ÷ total number of marbles left
so
(3/9) × (2/8) = (1/12)
Find the PERCENT of Change.
The original cost was $50 and the new cost is $200.
Answers
75%
explanation:
Answer:
300%
Step-by-step explanation:
To find percent change we need to use this formula:
[tex]change = \frac{Amount of change}{Original} * 100[/tex]
To find the amount of change we need to minus 50 from 200:
200 - 50 = 150
Now that we have the amount of change we can plug it in to the equation with the original amount (50):
[tex]change = \frac{150}{50} = 3 * 100 = 300[/tex]
Therefore, the percent of change is 300%.
I hope this helps!!
- Kay :)
PLEASE HURRY ILL YOU MARK BRAINLIEST
Two bugs crawl toward a pile of food. Bug A crawls 4.5 inches in 2 seconds. Bug B crawls 6 inches in 3 seconds. Which bug will be the first to reach the food?
Answers
Answer:bug b
Step-by-step explanation:
Answer:
bug a
Step-by-step explanation:
bug a: 4.5/2=2.25
bug b: 6/3=2
bug a is faster by .25 seconds
HELP ME PLZ
Find the slope of the line that passes through (-7,8) and (- 6, 5)
Answers
Answer:
-3
Step-by-step explanation:
Y = mx + c
m is the slope or the gradient and b is the y-intercept.
m = 5-8 / -6 - -7
m = -3
Luke went to a blackjack table at the casino. At the table, the dealer has just shuffled a standard deck of 52 cards.
Luke has had good luck at blackjack in the past, and he actually got three blackjacks with Queens in a row the last time he played. Because of this lucky run, Luke thinks that Queens are the luckiest card.
The dealer deals the first card to him. In a split second, he can see that it is a face card, but he is unsure if it is a Queen.
What is the probability of the card being a Queen, given that it is a face card? Answer choices are in a percentage format, rounded to the nearest whole number.
a) 8%
b) 4%
c) 33%
d) 77%
Answers
Answer:
c) 33%
Step-by-step explanation:
In a standard deck of cards, there are 52 cards total and of those 52, there are 12 face cards. One-third of those face cards are queens, (because there are 4 queens in a deck of cards, and [tex]\frac{4}{12}=\frac{1}{3}[/tex]). Therefore, there is a 33% chance that the card Luke holds is a queen.
Answer:
33%
Step-by-step explanation:
Got it right on the test.
Charlie likes to hike in the forest behind his house. He usually goes to the same areas in the forest, and he has decided to graph those areas on a coordinate plane. He marks the hollow stump at (−6,−4), the creek at (−6,1), and the climbing tree at (5,−4). What is the distance between the hollow stump and the creek?
Answers
Answer:
3 studs away
Step-by-step explanation:
If you graph the labels on the graph, you will count how far they are from eachother which is 3
the perimeter of a rectangle is 40 feet. If the length is 15 feet, 6 inches ; what is the width? How to u get 4” 6
Answers
Answer:
Step-by-step explanation:
1 ft= 12 inches
we know l=15 ft and 6 inches
2L=31 inch
P=2L+2W=40ft
2W=40-2*(15ft6inches)
2W=40-31=9 inch
w=9inch/2=4 ft 6 inches
a bus travles with a constant speed of 48 miles per hour how long will it take to travel 60 miles?
Answers
Answer:
1 hour and 15 min
Step-by-step explanation:
I think this is right but look it up just to be sure
Step-by-step explanation:48miles in 60 min. 1/4 of 60 is 1so 60 +15 = 1hr 15 min.