Answer:
Angle GHI measures 56º, and angle JKL measures 34º.
Step-by-step explanation:
Complementary Angles:
If two angles are complementary, the sum of their measures is 90º.
∠GHI is (5x+6)∘ and ∠JKL measures (3x+4)∘.
Since they are complementary:
[tex]5x + 6 + 3x + 4 = 90[/tex]
[tex]8x + 10 = 90[/tex]
[tex]8x = 90 - 10[/tex]
[tex]8x = 80[/tex]
[tex]x = \frac{80}{8}[/tex]
[tex]x = 10[/tex]
Measures:
GHI: 5*10 + 6 = 50 + 6 = 56º
JKL: 3*10 + 4 = 30 + 4 = 34º.
Angle GHI measures 56º, and angle JKL measures 34º.
The measures of the two angles are 56 and 34 degrees
The sum of complementary angles is 90degrees
Given the measurement:
GHI is (5x+6)∘ and;∠JKL measures (3x+4)Taking the sum and equating to 90 degrees
5x + 6 + 3x + 4 = 90
8x + 10 = 90
8x = 90 - 10
8x = 80
x = 10
∠GHI = 5(10) + 6
∠GHI = 56 degrees
∠JKL = 90 - 56
∠JKL = 34degrees
Hence the measures of the two angles are 56 and 34 degrees
Learn more on complementary angles here: https://brainly.com/question/20728641
The expression (4a + b) – 3(2a + b) is equivalent to:
Answer:
-2a - 2b
Step-by-step explanation:
Question : (4a + b)-3(2a + b)
= 4a + b - 6a - 3b
= 4a - 6a + b - 3b
= -2a + (-2b)
= -2a -2b
If you need detail solution here ;
first + multiply both 4a and b
first -3 multiply both 2a and b and then -3×2a= -6a
-3×b = -3b
and it will be 4a + b -6a -3b,then collect like terms
4a - 6a + b -3b
= -2a +(-2b) in this part + tims - = -
= -2a - 2b
If it's not helpful ask me on comment I will try to answer
If it's helpful ❤❤
THANK YOU
Question 12
The average mass of Jeremy, Mark and Zack is 28 kg. If Jeremy and Zack's average mass is
29kg. How heavy is Mark?
Answer:
Mark's mass is 26 kg.
Step-by-step explanation:
Average mass of Jeremy, Mark and Zack = 28kg
Average mass of Jeremy and Zack = 29 kg
Let,
Jeremy's mass = x
Mark's mass = y
Zack's mass = z
Average of three of them = [tex]\frac{Jeremy's mass + Mark's + Zack's}{3}[/tex]
28 = [tex]\frac{x+y+z}{3}\\[/tex]
[tex]28*3 = x+y+z\\84 = x+y+z[/tex]
x+y+z = 84 Eqn 1
[tex]29 =\frac{x+z}{2}\\58=x+z\\[/tex]
x+z = 58 Eqn 2
Now putting value of x+z from Eqn 2 in Eqn 1
x + z + y = 84
58 + y = 84
y = 84 - 58
y = 26
Thereofore,
Mark's mass is 26 kg.
Please help!! Will make brainliest
UmmmmAnswer:
Step-by-step explanation:
Write a multiplication equation and a division equation that represent this situation. Use “?” to represent the unknown quantity.
Answer:
csdkc kwhbfc d cjasd c
Step-by-step explanation:
sdjnf ewaihfbashehkf liq4bf;wjhf
Hello can you tell me what the answer of this How many subets dose the set a have a= ( a,b,c,d)
Answer:
16 subsets
Step-by-step explanation:
To know the number of subsets that the set have, we will have to find the power of the set.
Given the set a = ( a,b,c,d)
P(a) = 2^n where;
n is the total number of element in the set
n = 4
p(a) = 2^4
P(a) = 16
Hence the set has 16 subsets
A pound of apples cost $1.35 a pound of cherries cost $3.62. How much will it cost to by 1.6 pounds of apples and 2.5 pounds of cherries?
Answer:
apples cost a total of 2.16
cherrys cost a total of 9.05
Step-by-step explanation:
1.35*1.6=2.16
3.62*2.5=9.05
Determine the x- and y-intercepts of the graph of x−4y=8.
Then plot the intercepts to graph the equation.
Answer:
y-intercept = -2
x-intercept = 8
Step-by-step explanation:
[tex]x - 4y = 8\\x = 0 => y = -2\\y=0 => x = 8[/tex]
About 5% of the surface area of the U.S. is water. What decimal represents the amount of the U.S. surface area taken up by water?
This is the last question on my homework whoever answers gets brainliest :)
Answer:
.05
Step-by-step explanation: .5 would be 50%
1/? x 1/2 = 1/10
PLEASE HELP
Answer:
5
Step-by-step explanation:
Answer:
Answer:5
Step-by-step explanation:
hope it helps.
pls help :)
Given the function y = x + 3, what is the value of y if x is 7?
Answer:
10
Step-by-step explanation:
y=x+3; x=7
Substitute x in with 7
y=7+3Add 7 and 3
y=10What is the value of the x?
Answer:
53
Step-by-step explanation:
37+90=127
180-127=53
The single equivalent discount rate of the trade discount 6/4/2 is:
Answer:
3/1
Step-by-step explanation:
Given the expression 6/4/2, we are to express as a single fraction.
6/4/2
= 6÷4/2
= 6×2/4
= 12/4
= 3/1
Hence the expression as a single fraction is 3/1
the number of customers waiting inside a restaurant was 2 less than a third of those waiting inside. if three customers were waiting inside how many were outside
Answer:
15 customers were outside
Step-by-step explanation:
Represent customers inside with x and customers outside with y.
So, we have:
[tex]x = \frac{1}{3}y - 2[/tex] --- First Statement
[tex]x = 3[/tex] --- Second Statement
Required
Find y
Substitute 3 for x in [tex]x = \frac{1}{3}y - 2[/tex]
[tex]3 = \frac{1}{3}y - 2[/tex]
Add 2 to both sides
[tex]2 + 3 = \frac{1}{3}y - 2 + 2[/tex]
[tex]2 + 3 = \frac{1}{3}y[/tex]
[tex]5= \frac{1}{3}y[/tex]
Multiply both sides by 3
[tex]3 * 5= \frac{1}{3}y *3[/tex]
[tex]15 = y[/tex]
[tex]y = 15[/tex]
Hence; 15 customers were outside
16. Using a standard 52 card deck, what is the probability of pulling the king of hearts if you are
given two attempts (you will pull out one card and then another card)?
Answer:
Step-by-step explanation:
The way to do this (I think) is to figure out the probability of not getting said king on either throw.
First Throw: P(no King Hearts) = 51/52
Second Throw: P(no King Hearts) = 50/51
Total probability = 51/52*50/51 = 50/52
Therefore the probability of getting it right is
P(KH) = 1 - 50/52 = 2/52 = 1/26
I have a feeling that this is not correct. If you get a different answer that looks reasonable, take it.
What language your figure the thunder rose
Answer: ok buddy
Step-by-step explanation:
Answer:
?
Step-by-step explanation:
Francis ran 2 1/5 miles in 7/12 of an hour. How many miles can Francis run in one hour?
Answer:
3 7/10 miles
Step-by-step explanation:
divide miles by hours
11/5 ÷ 7/12 = 11/5 · 12/7 = 132/35 or 3.7 mph
Karen spent 39 minutes knitting 3 hats. In all, how many hats could Karen knit in 117 minutes?
Answer:
9
Step-by-step explanation:
i did the math
Will give brainless ⭐️!!!
A triangle is translated 4 units down and 8 units to the right
Which translation returns it to its original location?
O(x, y) - (x + 4, y - 8)
o (x, y) - (x - 8, y + 4)
O (x, y) - (x - 4, y + 8)
O(x, y) — (x + 8, y - 4)
Answer:
It's the second on, 4 units up and 8 units to the left
A sporting goods store sold 30% of the baseball bats in stock. If they had 420 bats in stock, how many did they sell?
Answer:they sold 126 bats
Step-by-step explanation:
30/100= 3/10
3/10x420=3x42=126
Find the length of the line segment formed by the points (2, 3) and (2, 5)
Answer:
2 units
Step-by-step explanation:
Given data
The points are (2, 3) and (2, 5)
x1= 2
y1= 3
x2= 2
y2= 5
substitute into the distance between two points formula
d=√((x_2-x_1)²+(y_2-y_1)²)
d=√((2-2)²+(5-3)²)
d=√(2)²)
d=√4
d= 2 units
Hence the length is 2 units
How many square feet are in 15 square yards
Suppose you roll a special 24-sided die. What is the probability that the number is a 1 or a 2
On the roll a special "24-sided" die, the probability that the number is a "1" or a "2" is 1/12.
The probability of rolling a "1" or "2" on a 24-sided die is the sum of the probabilities of rolling a 1 and rolling a 2, because the events are mutually exclusive.
Since each face of the 24 sided-die is equally likely to come up, the probability of rolling any particular-face is 1/24.
So, the probability of rolling a "1" is 1/24, and the probability of rolling a "2" is also 1/24.
The probability of rolling either a 1 or a 2 is the sum of these probabilities:
⇒ P(rolling a 1 or a 2) = P(rolling a 1) + P(rolling a 2),
⇒ 1/24 + 1/24,
⇒ 2/24,
⇒ 1/12.
Therefore, the required probability is 1/12.
Learn more about Probability here
https://brainly.com/question/22502532
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Express the rate described.
James needs to work 65 hours every 3 weeks to meet the quota for his school internship.
Answer:
21.67 hours/ week
Step-by-step explanation:
Given
[tex]Hours = 65[/tex]
[tex]Weeks = 3[/tex]
Required
Determine the rate
The rate is calculated using:
[tex]Rate = \frac{Hours}{Weeks}[/tex]
Substitute values for hours and week
[tex]Rate = \frac{65}{3}[/tex]
[tex]Rate = 21.67[/tex]
This implies that the rate is 21.67 hours/ week
can someone help me??
Strategies for finding a 30 % increase....
Answer:
Identify the original value and the new value.
Input the values into the formula.
Subtract the original value from the new value, then divide the result by the original value.
Multiply the result by 100. ...
Check your answer using the percentage increase calculator.
Step-by-step explanation:
3.6(x + 2) - 6 = 3.6x + 1.2
Answer:
3.6(x + 2) - 6 = 3.6x + 1.2 can change it on him
Paul picked 5482 peaches. Peter
picked four times as many as Pual
picked. Sam picked twice as many as
Peter picked. How many peaches did
hey pick altogether?
Answer:
71,266 peaches
Step-by-step explanation:
paul=5482
peter=5482*4=21,928
sam=21928*2=43,856
5482+21,928+43,856=71,266
Convert 6 months to years
Answer: 0.500001
Step-by-step explanation: Hope that helps!
Is anyone able to check this for me?
Pyragtheom theory
8th grade math
Answer:
Those are both correct
Step-by-step explanation:
To solve for the triangle 12^2+10^2=c^2, and for the other question, you are correct because the hypotenuse is NEVER the shortest side.
Solve using substitution.
4x – 7y = -18
x = 6
Answer:
6
Step-by-step explanation:
4(6) - 7y = -18
24 - 7y = -18
-7y= -42
y= 6
Answer: y=6
Step-by-step explanation:
4(6)-7y=-18
24-7y=-18 subtract 24 on both sides
-7y=-42 **then divide -7 on both sides**
and the answer is y=6
-3(2x+1)+x
Please help me thx:)