Answer:
r=28
Step-by-step explanation:
36/42 = 24/r (determine the defined range)
36/42 = 24/r , r ≠ 0 ( Reduce the fraction)
6/7 = 24/r (cross multiply)
6x = 168 ( divide both sides)
r=28 , r ≠ 0
Answer:
r = 28
Step-by-step explanation:
Cross multiply and solve for r:
[tex]\frac{36}{42}[/tex] = [tex]\frac{24}{r}[/tex]
36r = 1008
r = 28
So, r = 28
Find mZKJL.
K
7x
(3x +
16)0M
mZKJL =
Answer:
The answer is 28.
Step-by-step explanation:
Ok.
☆7x and 3x + 16 are congruent, meaning they equal the same.
☆Since they are equal, we can make an equation out of then.
7x = 3x + 16
☆Then we just solve.
[tex] \: \: \: \: \: \: \: \: \: 7x = 3x + 16 \\ \frac{- 3x = - 3x}{4x = 16} \\ \\ \frac{4x}{4} = \frac{16}{4} \\ \\ x = 4[/tex]
☆Therefore, x equals 4.
☆We are solving for m<KJL so all we need to do is plug in.
[tex]7x \\ 7(4) \\ 28[/tex]
☆You answer is 28.
The required angle is 28°
What is congruence in triangles?Two triangles are said to be congruent if all three corresponding sides are equal and all three corresponding angles are equal in measure. These triangles can be slid, rotated, flipped, and turned to be looked identical. If repositioned, they coincide with each other.
Given here ∠KJL=7x and ∠LJM=3x+16
now in ΔKJL & ΔLJM, JL is common and KL=LM, and by Pythagoras theorem JL²=KL²+JK² & JL²=JM²+LM²
Thus KL²+JK² = JM²+LM²
⇒ JK=JM
Thus by the SSS criterion, we can conclude that the triangles are congruent.
therefore by CPCT 7x=3x+16
4x=16
x=4
so the required angle is 7×4 =28°
Hence, ∠KJL=28°
Learn more about congruence here:
https://brainly.com/question/7888063
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Given the table, how can you use a graph to find additional equivalent ratios? x y 2 3 4 6 Plot the ordered pairs (2, 3) and (4, 6). Start at (4, 6). Move right 3 and up 2, and then plot a point. Keep this same rate to get other points. Draw a line through the two given points. Any point below the line represents an equivalent ratio. Plot the ordered pairs (2, 4) and (3, 6). Start at (3, 6). Move right 2 and up 3, and then plot a point. Keep this same rate to get other points. Draw a line through the two given points. Any point on the line represents an equivalent ratio.
Answer:
i know im late but i think the answer is A.
Step-by-step explanation:
im sorry if im wrong but its the most reasonable answer.
Answer:
A
Step-by-step explanation:
how many zeros would you need to write 10 to the power of 12 as a numeral in our base ten system
7. Find: (i) x + y +z (ii) a+b+c+d
Answer:
Q.1 360° Q.2 360°
Step-by-step explanation:
Q.1 let the third angle of the triangle be a
70°+40°+a=180(by angle sum property)
110°+a=180
a=180°-110°
a=70°
angle x=70°+x=180°(linear angle)
x=180°-70°
x=110°
angle z= 40°+z=180
z= 180°-40°
z=140°
angle y=a+y=180°
70°+y=+80°
y=180°-70°
y=110°
y+z+x=110° +110° +140°=360
Q.2 let the fourth angle of the quadrilateral be x
120°+70°+60°+ x=360° (by angle sum property)
250°+x=360°
x=360°-250°
x=110°
angle a=120°+a=180°(by linear angle)
a=180°-120°
a=60°
angle b=70°+b=180°
b=180°-70°
b=110°
angle c=x+c=180°
110° + c=180°
c=180°-110°
c=70°
angle d=60°+d=180°
d= 180° -60°
d=120°
a+b+ c+d=120°+110°+60°+70°=360°
Help Me please and thank you
Answer:
Hii Xxx
Please give your mobile number
can someone help please?
Please can you help me with this
9514 1404 393
Answer:
85°
Step-by-step explanation:
The sum of arcs in a circle is 360°.
FG +140° +80° +55° = 360°
FG = 360° -275°
FG = 85°
20% of all the children in a class are left handed.
4 children are left handed.
How many children are there in the class altogether?
Answer:
There are 20 students in the class
Step-by-step explanation:
Let the total number of children in the class be = x
from the question, we know that 20% of all the children are left-handed. We also know that 20% of the total children in the class = 4.
This means that 20% of x = 4
Wherever we see the word "of" in an arithmetic problem, we should know that it infers a multiplication there.
Hence, we have
[tex]\frac{20}{100} \times x = 4[/tex]
[tex]x = \frac{4 \times 100}{20}= 20[/tex]
There are 20 children in the class altogether
someone help ASAP!!!! Please it would mean so much if you helped me!
What is the origin of algebraic expresions plz
Sally sells sea-shells by the seashore. After 6 days, she has made
$16. After 17 days, she has made $60. How much does Sally
make each day?
Answer:
the right answer is$2.66
Colin buys a tv for £780.
It depreciates at a rate of 5% per year.
How much will it be worth in 6 years?
Give your answer to the nearest penny where appropriate.
Answer:
£573.40
Step-by-step explanation:
Amount = cost price - total depreciation
depreciation (1st year ) = 5% of £780
= [tex]\frac{5}{100}[/tex] x 780
= 0.05 x 780
= £39.00
depreciation (2nd year) = 5% of £741
= £37.05
depreciation (3rd year) = 5% of 703.95
= £35.1975
depreciation (4th year) = 5% of 668.7525
= £33.437625
depreciation (5th year) = 5% of 635.314875
= £31.76574375
depreciation (6th year) = 5% of 603.5491313
= £30.17745656
Total depreciation = £39.00 + £37.05 + £35.1975 + £33.437625 + £31.76574375 + £30.17745656
= £206.6283253
Total depreciation = £206.6283253
Therefore,
Amount after 6 years = £780 - £206.6283253
= £573.3716747
= £573.40
The worth of the TV after 6 years is £573.40.
Answer:
573.37
Step-by-step explanation:
10 yd
5 yd
What’s the surface area of the cylinder
Answer:
471.24 yd²
Step-by-step explanation:
The formula for the surface area of the cylinder
= 2πr(r + h)
Height = 10 yd
Radius = 5 yd
Surface area =
2 × π × 5(5 + 10)
= 471.24 yd²
The surface area of the cylinder = 471.24 yd²
Solve the formula a(m - r) + t = s for a
Answer:
[tex]\huge\boxed{a =\frac{s-t}{m-r}}[/tex]
Step-by-step explanation:
In order to convert an equation to solve for another variable, we need to algebraically manipulate the problem until we're left with a isolated on one side.
Step 1: Subtract [tex]t[/tex] from both sides
[tex]a(m-r) + t - t = s - t[/tex] [tex]a(m-r) = s-t[/tex]Step 2: Divide both sides by [tex]m- r[/tex]
[tex]\frac{a(m-r)}{m-r} = \frac{s-t}{m- r}[/tex] [tex]a = \frac{s-t}{m-r}[/tex]Hope this helped!
Divide. Write your answer as a fraction or mixed number in simplest form.
-15/7 ÷ 18/35
Answer: -4 1/6
Step-by-step explanation:
-15/7 ÷ 18/35
-15/7 x 35/18
-5 x 5/6
-25/6
-4 1/6
Which expression is equivalent to x2 - 40 - 45?
A(x - 9) (x - 5)
B(x +9)(x + 5)
C(x + 9) (x - 5)
D(x-9)(x+5)
Answer:
the answer is B (x+9)(x+5)
The top of the mountain is at an elevation of 800 feet. The floor of the cave is 200 feet below ground. What is the distance between the top of the mountain and the floor of the cave?
Answer:
1000
Step-by-step explanation:
find the nth term of 8, 2, -4, -10,... then find A50
Answer:
An=8+(n-1)(-6)
=8-6n+6
=14-6n
A50=14-6(50)
= -286
Which of the following is not a rate?
I WILL GIVE BRAINLIEST IF YOUR ANSWER IS RIGHT
Answer:
540 feet 5 feet
Step-by-step explanation:
they're both feet, it cant be a rate.
Pleaseee help I want to sleep xD (There's a screenshot)
19.796 to 1 significant figure
Answer:
The answer is 20
I hope this helps
Find three consecutive natural numbers such that the sum of the first and the second is 15 more than the third
Answer: 16, 17 and 18
Step-by-step explanation:
Let the consecutive natural numbers be x, x+1, and x+2. We are informed that the sum of the first and the second is 15 more than the third. This will be:
[x + x + 1] = [x + 2] + 15
2x + 1 = x + 2 + 15
2x + 1 = x + 17
2x - x = 17 - 1
x = 16
The numbers are 16, 17 and 18.
Given the graph that is shown. What is the range of the function??!
Answer:
[tex]-3\leq x[/tex] < 6
third answer choice
Step-by-step explanation:
The price of a television is $700 at two different stores. Each store is offering a different promotion. Which deal is the best?
Store A: 15% off sale
Store B: $50 off coupon
Store A
Store B
Examine the following diagram:
Line c intersects lines a and b. Line d intersects lines a and b.
In the diagram, line c is a transversal of lines a and
.
Answer:
b
Step-by-step explanation:
i just took it on edge
Line c is a transversal of lines a and b. The blank space filled by b
According to the question blank statement is to be filled.
Line c intersects lines a and b. Line d intersects lines a and b
In the diagram, line c is a transversal of lines a and _____
A line is the shortest distance between two points or a straight curve with zero deflection in it.
Here,
If c intersects line a and line b, then line c is the transversal line for both a and b.
Thus, line c is a transversal of lines a and b.
Learn more about the line here:
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a bus travels 320 miles in 6.4 hours. if the bus continues at the same rate, which proportion can be used to find m, the number of miles the bus will travel in 9 hours.
Answer:
A
Step-by-step explanation:
Ok first we need to find rate of MILES per HOUR
320/6.4=50
m= miles in 9 hours
9*50=450
Cross Multiplyis your answer
A
(6.4*9)/320m=Hours/miles
Hope this helps!
The number of miles the bus will travel in 9 hours will be 6.4 / 320 = 9 / m. Then the correct option is B.
What are ratio and proportion?A ratio is a collection of ordered integers a and b represented as a/b, with b never equaling zero. A proportionate expression is one in which two items are equal.
A bus travels 320 miles in 6.4 hours. if the bus continues at the same rate.
We know that speed is the ratio of distance and time. Then we have
The number of miles the bus will travel in 9 hours will be
320 / 6.4 = m / 9
6.4 / 320 = 9 / m
Then the correct option is B.
More about the ratio and the proportion link is given below.
https://brainly.com/question/14335762
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Kristen used the expression 82 - 22.2-52, what is the
value of it?
Answer:
the answer to this is 7.8
please help me i need this right now please please
Answer:
60
Step-by-step explanation:
From the graph shown, what is an approximate solution of the system of equations?
How many solutions are there to the following equation?
5 ( x-3 ) - 3x = 8x - 15 - 6x
A) exactly two solutions
B) exactly one solution
C) no solution
D) infinitely many solutions
Answer:
D) infinitely many solutions
Step-by-step explanation:
5 ( x-3 ) - 3x = 8x - 15 - 6x
5x - 3x - 15 = 8x - 6x - 15
2x - 15 = 2x - 15
2x = 2x
Since, equations of both lines are same. Therefore, there are infinitely many solutions.
Answer:
D
Step-by-step explanation:
Given
5(x - 3) - 3x = 8x - 15 - 6x
5x - 15 - 3x = 2x - 15
2x - 15 = 2x - 15
Since both sides are the same then any real value of x will be a solution.
That is there are infinitely many solutions