Which reason justifies the statement that KLC is complementary to KJC?
Answer:
Angles that are congruent are complementary to the same angle
Step-by-step explanation:
see that attached figure to better understand the problem
we know that
Two angles are complementary if their sum is equal to [tex]90\°[/tex]
[tex]m<KJM=m<KLM=90\°[/tex]
[tex]m<KJC=m<MLC[/tex] -----> equation A
[tex]m<KJM=m<KJC+m<CJM[/tex]
so
[tex]m<KJC+m<CJM=90\°[/tex] -----> equation B
[tex]m<KLM=m<KLC+m<MLC[/tex]
so
[tex]m<KLC+m<MLC=90\°[/tex] -----> equation C
Substitute equation A in equation C
So
[tex]m<KLC+[m<KJC]=90\°[/tex]
That means------> angles ∠KLC and ∠KJC------> are complementary angles
therefore
Angles that are congruent are complementary to the same angle
Venus is about 10^8 kilometers from the Sun. Saturn is about 10^9 kilometers from the Sun. About how many times farther from the Sun is Saturn than Venus?
PLEASE HELP WITH MY MATH!
What is the value of the expression? −2^6 − (6)^2
Enter your answer in the box.
what's 867,000→ to the nearest ten
Explain how using basic fact can help find 10x20x30x40 mentally
The unit rate for $18 for 24 pounds
Final answer:
To find the unit rate of $18 for 24 pounds, you divide the total cost by the number of pounds, resulting in a unit rate of $0.75 per pound.
Explanation:
The student is asking how to calculate the unit rate of a product that costs $18 for 24 pounds. To find the unit rate, you divide the total cost by the total number of units (in this case, pounds). So, the calculation for the unit rate in this question would be:
$18 ÷ 24 pounds = $0.75 per pound
Thus, the unit rate is $0.75 per pound. This means for every pound of the product, you pay $0.75.
again I think I am right but I just want to check myself
What is the best estimate for the product of 289 and 7
289 -> 290
7 -> 10
290 x 10
= 2900
Mr. and Mrs. Delgado each own an equal number of shares of a stock.Mr. Delgado sells one-third of his shares for $2700. What was the value of Mr. and Mrs.Gelgados stock before the sale?
I need a quick good conclusion thank you
draw a rectangle on the grid below with an area of 1575 square units and a side of 45 units
Answer choices:
A and T
WCR and TRA
<-----> WC <----> CR
<-----> WC <----> WT
what is the product? (3a^2b^7)(5a^3b^8)
Which of the following would be equivalent to 11 to the 8th power over 11 to the 3rd power?
A)11 to the 7th power over 11 to the 7th power
B)11 ⋅ 114
11 to the 0 power over 11 to the 5th power
110
Answer:
[tex]11 .11^4[/tex]
Step-by-step explanation:
Given phrase,
11 to the 8th power over 11 to the 3rd power
[tex]\implies \frac{11^8}{11^3}[/tex]
[tex]=11^{8-3}[/tex] [tex](\because \frac{a^m}{a^n}=a^{m-n})[/tex]
[tex]=11^5[/tex]
Since,
[tex]11.11^4[/tex]
[tex]=11^{1+4}[/tex]
[tex]=11^5[/tex]
Hence, the equivalent expression to 11 to the 8th power over 11 to the 3rd power is,
[tex]11.11^4[/tex]
How many 1/4 ft pieces can you cut from a string that is 15 feet long
You can cut 60 pieces of 1/4 foot each from a string that is 15 feet long by carrying out the operation 15 ÷ 1/4, which turns into multiplication by the reciprocal of the fraction, 15 x 4 equals 60.
Explanation:The question is asking how many 1/4 ft pieces you can cut from a 15 feet long string. In other words, you want to divide the total length of the string by the length of each piece you're cutting out. So you will carry out a division operation: 15 ÷ 1/4. When dividing by a fraction, you actually multiply by its reciprocal. The reciprocal of 1/4 is 4, so 15 ÷ 1/4 becomes 15 × 4, which equals 60. Therefore, you can cut 60 pieces of 1/4 foot each from a string that's 15 feet long.
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A company has the pay scales below , with the percent of employees receiving that pay listed. Find the best value to represent an average salary at this company. ( round to the nearest dollar ) Job Salary Percent of Employees Entry $30,000 60% Expert $40,000 38% CEO $125,000 2%
Expressions cannot _____.
Jim makes the following conjecture: other than 1, there are no numbers less than 100 that are perfect squares and perfect cubes. what is a counterexample that proves his conjecture false?
Write a story that could describe the expression:
75x - 20
Is 16.45 greater, less than or equal to 16.454
The distance between bases on a baseball diamond (a perfect square) is 90 feet and the pitchers mound is one-half the distance between home and second base. If Burt Hooton throws a slider at 87 mi/hr, how many seconds will it take for the ball to reach the plate?
Answer in units of s.
Please help me! Thank you!
Some students reported how many textbooks they have. The dot plot shows the data collected: A dot plot is titled Students Textbooks and labeled Number of Textbooks. The values on the horizontal line are 2, 3, 4, 5, and 6. There is 1 dot above 2, 2 dots above 3, 4 dots above 4, 5 dots above 5, and 4 dots above 6. What do the dots above the number 6 indicate? There are exactly 6 students with 4 textbooks. There are exactly 4 students with 6 textbooks. There are exactly 6 students with less than 4 textbooks. There are exactly 4 students with less than 6 textbooks.
Answer:
B
Step-by-step explanation:
Two cars traveled equal distances in different amounts of time. Car A traveled the distance in 2.4 h, and Car B traveled the distance in 4 h. Car A traveled 22 mph faster than Car B. How fast did Car A travel? (The formula R⋅T=D , where R is the rate of speed, T is the time, and D is the distance can be used.) Enter your answer in the box.
Rate of speed is rate of change of distance with respect to time, If Car A traveled the distance in 2.4 h, and Car B traveled the distance in 4 h.
Car A traveled 22 mph faster than Car B. 55mph fast car A travel.
What is Rate of speed?Rate of speed is rate of change of distance with respect to time.
Let the distance be D miles
Car A:- D = 2.4R and
for Car B:- D = 4(R- 22)
therefore 2.4R = 4(R-22)
4R - 88 = 2.4R
4R-2.4R=88
1.6R = 88
R = 55mph Answer
Therefore car A travels 55mph faster than car B.
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Pauline spent $7.50 every day for 3 days. Which expression is the best choice to help her determine the total amount of money she spent?
(7.50)(−3) = −22.50; she spent $22.50
(−7.50)(3) = −22.50; she spent $22.50
(−7.50)(−3) = 22.50; she spent $22.50
(7.50)(3) = 22.50; she spent $22.50
Answer:
The correct option is 2.
Step-by-step explanation:
It is given that Pauline spent $7.50 every day for 3 days.
Amount spent on each day = $7.50
Number of days = 3
Spent amount and expenditure are always negative.
Total amount of money she spent is
[tex]Total =(-7.50)(3)[/tex]
On simplification we get
[tex]Total =-22.50[/tex]
She spent $22.50 and required expression is (−7.50)(3) = −22.50. Therefore the correct option is 2.
Write in the form y=mx+b, the equation of the line that has:
A) a slope of 6 and passes through (1,5)
B) a slope of 5/6 and passes through (-12, 3)
use the model to solve for x
3x+1 = 2x-5
3x = 2x-6
x = -6
how much money must you deposit in a simple interest account to earn $500 in interest in 5 years at 4% annual interest?
The $2500 money must you deposit in a simple interest account to earn $500 in interest in 5 years at 4% annual interest.
What is simple interest?It is defined as the interest based on the principal amount, it does not include the compounded amount. The interest calculates on the initial amount or borrowed amount.
It is given that:
simple interest account to earn $500 in interest in 5 years at 4% annual interest
As we know the simple interest formula is:
I = Prt
Here
I = $500
t = 5 years
r = 4% = 0.04
500 = P(0.04)(5)
P = 500/0.2
The money that must be deposited in a simple interest account to earn $500 is:
P = $2500
Thus, the $2500 money must you deposit in a simple interest account to earn $500 in interest in 5 years at 4% annual interest.
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Decrease £248 by 30%
0.9c+0.5c=7 answer for c
bananas are $0.59/pound, how much will 25 bananas cost?