Answers
Answer:
Δ JKL is similar to Δ ABC ⇒ D
Step-by-step explanation:
Similar triangles have equal angles in measures
In ΔABC
∵ m∠A = 15°
∵ m∠B = 120
∵ The sum of the measures of the interior angles of a Δ is 180°
∴ m∠A + m∠B + m∠C = 180°
→ Substitute the measures of ∠A and ∠B
∵ 15 + 120 + m∠C = 180
→ Add the like terms in the left side
∴ 135 + m∠C = 180
→ Subtract 135 from both sides
∴ 135 - 135 + m∠C = 180 - 135
∴ m∠C = 45°
The similar Δ to ΔABC must have the same measures of angles
If triangles ABC and JKL are similar, then
m∠A must equal m∠J
m∠B must equal m∠K
m∠C must equal m∠L
∵ m∠J = 15°
∴ m∠A = m∠J
∵ m∠L = 45°
∴ m∠C = m∠L
∵ m∠J + m∠K + m∠L = 180°
→ Substitute the measures of ∠J and ∠L
∵ 15 + m∠K + 45 = 180
→ Add the like terms in the left side
∴ 60 + m∠K = 180
→ Subtract 60 from both sides
∴ 60 - 60 + m∠K = 180 - 60
∴ m∠K = 120°
∴ m∠B = m∠K
∴ Δ JKL is similar to Δ ABC
Related Questions
Leah would like to earn at least $120 per month. She babysits for $5 per hour and works at an ice cream store for $8 per hour. Leah cannot work for more than 20 hours total per month for both jobs. Let x represent the number of hours Leah babysits and y represent the number of hours Leah works at the ice cream store. Which of the following graphs and system of inequalities shows the set of solutions for Leah earning at least $120 and working no more than 20 hours?
Answers
Answer:
its D
Step-by-step explanation:
5x+8y>120 and x+y<20 are the two inequalities shows the set of solutions for Leah earning at least $120 and working no more than 20 hours
What is Inequality?a relationship between two expressions or values that are not equal to each other is called 'inequality.
Let x=babysitting hours paid at $5
y=ice cream shop hours paid at $8.
Total earned >120
total hours<20
So here is what our equations will look like:
5x+8y>120
x+y<20
Convert the first equation into y>mx+b format
8y>-5x+120
y>-5/8x+15
Convert the second equation into y>mx+b
x+y<20
y<-x+20
We can also solve this mathmatically by finding the point where our equations are equal:
-5/8x+15=-x+20
Add x to both sides to get:
3/8x+15=20
subtract 15 from both sides:
3/8x=5
divide both sides by 3/8:
x=13.33
The question asks us to round to the nearest whole hour, so the minimum she can babysit is 14 hours to still make $120 a week.
Hence, 5x+8y>120 and x+y<20 are the two inequalities shows the set of solutions for Leah earning at least $120 and working no more than 20 hours
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Please help ASAP with one or the rest pleasee I’ll l mark you as brainlister
Answers
Answer:
SEE BELOW
Step-by-step explanation:
By mid point theorem:
1)
[tex] MO = 2\times CD\\\\
MO = 2\times 4\\\\
\huge\red {\boxed {MO = 8\: cm}} \\\\[/tex]
2)
[tex] NO = 2\times CE\\\\
NO = 2\times 8\\\\
\huge\purple {\boxed {NO = 16\: cm}} \\\\[/tex]
3)
[tex] MN= 2\times DE\\\\
MN = 2\times 7\\\\
\huge\purple {\boxed {MN = 14\: cm}} \\\\[/tex]
4)
[tex] 2(3x +1) = 20\\\\
3x + 1= \frac {20}{2}\\\\
3x + 1 = 10\\\\
3x = 10-1\\\\
3x = 9\\\\
x = \frac{9}{3} \\\\
x = 3\: units[/tex]
camila has a younger brother and an older brother. one is three years younger than her and the other is 5 years older than her
Answers
Answer:
59 years and younger
Step-by-step explanation:
Joanne hit a ball straight up into the air. The height of the ball in meters, is given by the function h(t)= -5(t-3)^2+45 t seconds after the ball is hit. What is the maximum height the ball will reach
Answers
9514 1404 393
Answer:
45 meters
Step-by-step explanation:
The equation is given in vertex form:
h(t) = a(t -b)^2 +c
where (b, c) is the vertex (maximum).
The values of the parameters are ...
a = -5, b = 3, c = 45
Then the maximum height is (time, height) = (3, 45).
The maximum height of the ball is 45 meters.
The function above models the height, y, in feet of a stone t seconds after it is dropped from the edge of a vertical cliff. How long will it take the stone to hit the ground? Round to the nearest hundredth of a second
Answers
Answer:
3.94 seconds
Step-by-step explanation:
h = - 16t² + 248
If stone is dropped, then h = 0
- 16t² + 248 = 0
t² = [tex]\frac{248}{16}[/tex]
t = ± [tex]\frac{2\sqrt{62} }{4}[/tex]
t < 0 is a solution of equation, but not a solution of the task
t = [tex]\frac{2\sqrt{62} }{4}[/tex] ≈ 3.94 seconds
Answer:
≈ 3.74 seconds
Step-by-step explanation:
Oops! The numbers I had to work with were "The function y = –16t2 + 224..."
Please help ill mark brainliest
Answers
3(5x-4)=8x+2
15x-12=8x+2
15x-8x=2+12
7x=14
7x/7=14/7
x=2
The first step to solve should be distributing the 3.
Find the value of f(-3).
Answers
Step-by-step explanation:
the value is -5 hope that is good
what is 99,765 divided by 5?
Answers
Answer:
It is 19,953. Your welcome
Answer:
99,765/5= 19953 :)
Step-by-step explanation:
The speed of a train increases from 650 km/hr to 800 km/hr in 5 hours. What is its acceleration?
Answers
Answer:
\overline{a} = \frac{v - v_0}{t} = \frac{\Delta v}{\Delta t}
Step-by-step explanation
i do not really understand but use this formula
= average acceleration
v = final velocity
v_0 = starting velocity
t = elapsed time
Write the ratio as a fraction in simplest form, with whole numbers in the numerator and denominator.
12 m to 20 m
HELP ME ILL MARK YOU !!
Answers
Answer:
3/5
Step-by-step explanation:
Pls help will give brainliest and be very detailed. What is 11+9
Answers
Answer:
20
Step-by-step explanation:
11+9=20 :)
Answer:
ok so 9+11 is 20. you start with 11 and add 9 to it using your fingers if needed:
11,12,13,14,15,16,17,18,19,20
Step-by-step explanation:
Need help will mark brainliest
Answers
Answer:
64
Step-by-step explanation:
180-52/2=128/2=64
Write down the next two numbers in the sequence.
81, 64, 47, 30, ___, ___
Answers
Answer:
81, 64, 47, 30, 13, -4
Answer:
The next two numbers are 13 and -4.
Step-by-step explanation:
We are subtracting 17 each time.
30 - 17 = 13
13 - 17 = -4
use the graph below to determine how many cakes mary sells after 4 hours
Answers
Answer:
8
Step-by-step explanation:
follow the graph
Answer:
D. 8
Step-by-step explanation:
Look for 4 the x axis and go up until you see the dot. Whatever is on the y-axis is your answer(8)
Solve for the value of s.
58
(s-4)
Answers
Answer:
Step-by-step explanation:
58(s-4)=0
58s-232=0
58s=232
S =232/58
S=4
Value of a is 4.
What is the value of x?
Answers
Answer:
x = 18
These two angles are formed by a transversal that cuts through 2 parallel lines. This means that (5x + 2) on line m corresponds to the angle on the right of (5x-2) on line n.
Now that we can see (5x + 2) and (5x - 2) are on a straight line, we can say that (5x + 2) + (5x - 2) = 180
10x + 0 = 180
10x = 180
x = 180/10
x = 18
-6 < -2h + 14 solve for h
Answers
Answer:
10 is more than h
Step-by-step explanation:
sub 14 add to 6 divid by two switch signs and poof
Answer:
10>h
Step-by-step explanation:
-6< -2h+14
-6-14<-2h
-20<-2h
-2 <-2 when you divide by a negative number you must reverse the
10>h inequality sign
Write a function g whose graph represents a reflection in the y-axis of the graph of f(x)=|2x−1|+3.
Answers
Answer:
1) y = -f(x) (This is the reflection about the x-axis of the graph y = f(x).) That is for every point (x, y) there is a point (x, -y). Look at the example graphs below of y = x2 and y = -x2. Notice the green graph is simply the same as the blue graph folded down
How much money is collected in tolls if 55 two axle cars cross the bridge? Type your answer in a
complete sentence.
Answers
Y•55=x
Step-by-step explanation:
To convert 1880 kL to L, move the decimal point _____ places to the _____.
Answers
Answer:
4567
Step-by-step explanation:
sdjfgkh
Answer:
1880000
Step-by-step explanation:
1880 * 1000 = 1880000
Please help :)Please help :)Please help :)
Answers
Answer:
the first one is correct
Step-by-step explanation:
(7,-20), (1,-3)
Find the slope of the line through each pair of points
Answers
Plug the coordinates in the equation
-3-(-20)/1-7
17/-6
The slope is -17/6
Answer:
-17/6
Step-by-step explanation:
You find the slope by using the equation: y2-y1/x2-x1.
-20-(-3)/7-1
-20+3/6
-17/6
Can anyone help me please?
Answers
1. 40,60,80
2.48,35,23.7
8x + 7y = 2
8x + 3y = 10
Answers
Answer:
what do you want from this question?
Step-by-step explanation:
Can someone help me with this last one please
Answers
The lines rises 3 and moves over 4
Marcus can choose between a monthly salary of $1,500 plus a 5.5% commission of sales or $2,000 plus a 3% commission of sales. He expects about $8,000 in sales each month. Which salary option should he choose?
Answers
Answer:
The second option is betterStep-by-step explanation:
Total for the first choice:
8000*5.5/100 + 1500 = $1940Total for the second choice:
8000*3/100 + 2000 = $2240As we see the second choice is better as more salary is expected
Macy's charges $12 for an item plus a $10 shipping and handling charge for the order. What is the cost of an order of of 5 of those items?
Answer pls idk get it pls
Answers
Answer:
$72 is your answer
Step-by-step explanation:
hope this helps ♡
write an expression equivalent to 2a + (3/4a + 1/5b) by combining like terms
Answers
Answer: 2 3/4 a + 1/5 b
Step-by-step explanation:
Add the like terms
The solution of the given expression is equal to 7a/4 + b / 5.
What is an expression?The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.
Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.
Given expression is 2a + (3/4a + 1/5b). The given expression will be solved as below,
E = 2a + (3/4a + 1/5b)
E = 2a + (3/4)a + (1/5)b
E = 7a/4 + b / 5
Therefore, the solution of the given expression is equal to 7a/4 + b / 5.
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Solve for s.
S + 3s - 4 = 16
S =
Submit
Answers
ANSWER: S=5
Annie is participating in a winner-take-all World Series of Poker tournament that costs 101010 thousand dollars to enter. The prize for winning the tournament is 500500500 thousand dollars. Annie estimates that there is a 0.5 \%0.5%0, point, 5, percent chance that she will win the tournament. Find the expected value of entering the tournament for Annie.
Answers
Answer: −7.5 thousand dollars
Step-by-step explanation: Khan Academy
Using the expected value formulae, the expected value of Annie entering the tournament is -$7950
Creating a probability distribution table :
Net amount won = (500 - 100) = 400 thousand
Amount lost = 100 thousand
X ___ : - 10,000 ____ 400,000
P(X) _ : __ 0.995 _______ 0.005
Using the expected value formulae:
E(X) = Σ[X × P(X)]E(X) = (0.995 × - 10,000) + (0.005 × 400,000)
E(X) = - 9950 + 2000
E(X) = -7950
Hence, the expected value of entering the tournament is -$7950
Learn more : https://brainly.com/question/19236072