Two supplementary angles are in the ratio 2:7. Find the measure of the Acute angle.
Answers
Answer:
y=42.3333333333 (repeating)
Step-by-step explanation:
You need to find the corresponding side. You can see D H is corresponding to E C. So here is what you have to do, find x to (8x - 43) and (2x + 13).
2x + 13 + 8x - 43= 90
10x -30 = 90
+30 +30
10x = 120
/10 /10 = 12
to check if this is right take x which is 12 and plug it in.
8 x 12= 96 then 96 - 43= 53
2 x 21= 24 then 24 + 13= 37
Next you take 53 and 37 and add it together
53 + 37= 90
about that corresponding side, now you know D H and E C both equal 53
Now you can solve your equation.
53 + 2y + y= 180
53 + 3y = 180
-53 -53
3y = 127
/3 /3
y = 42.333333 (repeating)
to check if this is right take y which is 42.3333333 (repeating) and plug it in.
2y means to multiply y two times so...
42.3333333 (repeating)+ 42.33333333 (repeating)= 84.6666666 (repeating)
y = 42.333333333 (repeating)
E C = 53
add all the numbers together
42.333333 (repeating) + 84.66666666 (repating)+ 53= 180
Therefore y equals 42.33333333 (repeating)
Related Questions
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Consider the function
Which graph below matches that function?
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I NEED THE ANSWER TO THIS ASAP PLEASE!!!
what is 1/25 of 5.2 time 10 to the power of 3?
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Answer:
208
Step-by-step explanation:
Answer:8
Step-by-step explanation:
Please help me with all of them please?
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Answer:
it shoudl be 2
Step-by-step explanation:
Answer:
3,7,11,9,5,1 all = 100
the rest = 80
i will give u brainliest
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Answer:
The reciprocal of 2 is 1/2
The reciprocal of 6/11 is 11/6
Simplify the expressions below by using the rules of exponents. A.2^4 B.3^0 C.4^6∙4^(-3) D.(2^3 )^2 Answer:
Answers
Answer:
The three rules that we have are:
[tex]x^a*x^b = x^{a + b}[/tex]
[tex]\frac{x^a}{x^b} = x^{a - b}[/tex]
[tex](x^a)^b = x^{a*b}[/tex]
Then let's solve the problems:
A) 2^4 = 2^(2*2) = (2^2)^2 = 4^2 = 16.
B) 3^0 = 3^(a - a) = 3^a/3^a = 1. (for any real number a)
From this we can conclude that the power 0 of any number is equal to 1.
C) 4^6*4^(-3) = 4^(6 - 3) = 4^3 = 64
D) (2^3)^2 = 2^(3*2) = 2^6 = 64
HELP ME PLZZ I NEED HELP WITH THIS I DONT WANT TO FAIL!!
Answers
Answer:
i believe it is C
Step-by-step explanation:
Simplify the following expression: NEEED HELP PLLZ:(
2x − 8y + 3x2 + 7y − 12x
A 3x2 − 14x − y
B 3x2 − 10x − y
C 3x2 − 10x − 15y
D 3x2 + 10x − y
Answers
Step-by-step explanation:
I'm pretty sure that it is C.3x2-10x-15y
Find the distance between the points (-4, 3) and (-4,-6)
Answers
Answer:
5.099
Step-by-step explanation:
8^x = 2 write down the value of x
Answers
8 is 2 cubed
So
2^3^x = 2
2^3x = 2
3x = 1
x = 1/3
The required simplified value of the given expression is x = 1/3.
What is simplification?The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.
Here,
Given expression is an exponential expression,
Though,
8ˣ = 2
Taking logs on both sides,
xlog8 = log 2
x = log2/log8
x = log2/3log2
x = 1/3
Thus, the required simplified value of the given expression is x = 1/3.
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Which ordered pair locates point P on the coordinate plane?
Answers
Answer:
(-3,-2)
Step-by-step explanation:
Answer:
The answer is A.
There are 160 students in 7th grade. The 7th grade is larger than the 8th grade by 24 students. Write an equation to calculate how many students are in the 8th grade and solve it.
Answers
Answer:
160-24=x
Step-by-step explanation:
what is the inequality for A number t multiplied by −4 is at least −25.
Answers
Answer:
6
25
Step-by-step explanation:
divide. -25by -4 then the answer is that
Lines n, m, and p are drawn on the coordinate grid below.
Which choice is NOT true?
Answers
I need the answers too these, MAJOR QUIZ GRADE !!
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Answer:
the answer is B cause I just took a test with this question
Help me please..
Help me with the ones which are marked
8 points and brainliest
Answers
Answer:
1. 30
2. C = 18.3 B = 25% A=15 % rest = unkown
Step-by-step explanation:
to find X is what percent of Y
X/Y multiplied by 100
x times x is X^2, right? I'm having a brain toot and I can't remember. plz answer asap
Answers
Derek wants to determine the height of the top of the backboard on the basketball goal at the playground. He places a standard 12-inch ruler next to the goal post and measures the shadow of the ruler and the backboard. If the ruler has a shadow of 10 inches and the backboard has a shadow of 7 feet, then how high is the top of the backboard?
A.
9.41 feet
B.
8.4 feet
C.
9.66 feet
D.
6.63 feet
Answers
If 12 inches ruler gives a shadow of 10 inches
Then 84 inch shadow of backboard is actually ;
12 : 10 x = 100.8 inches which is =
x : 84. 8.4 ft
So answer is B
Given the following two points write the equation in standard form:
(-6,8) and (4,8)
Answers
answer: 2x - y = 2
Explanation:
Please simplify!!
[tex]x+18\geq 50[/tex]
Answers
Answer:
x ≥ 32
Step-by-step explanation:
x + 18 ≥ 50
subtract 18 from both sides.
x ≥ 50 - 18
x ≥ 32
Evaluate f(t)=-2t2+ 1 for f(-3)
Answers
Answer:
f(-3)=-17
Step-by-step explanation:
Substitue -3 for t
-2(-3)^2 + 1
Simplify
-2(9) + 1
-18 + 1
Answer: -17
A function is defined as a relation between a set of inputs having one output each.
The value of the function f(t) = -2t² + 1 at t = -3 is -17.
The domain of the function is -17.
The range of the function is -3.
What is a function?A function is defined as a relation between a set of inputs having one output each.
f(x) = x + 2
At x = 2,
f(2) = 2 + 2 = 4
Domain = 2
Range = 4
We have,
f(t) = -2t² + 1
We need to find for t = -3.
f (-3) = -2 ( -3 )² + 1
[ -3 x -3 = 9 ]
f (-3) = -2 x 9 + 1 = -18 + 1 = -17
Thus the value of the function f(t) = -2t² + 1 at t = -3 is -17.
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1. Mrs. Sanders farm is 413 acres. She divided the farm into 52 equal parts. How many acres are in each part? 2. Which of the following numbers are prime? a) 53 b) 12 c) 18 d) 28
Answers
Answer:
each part will have about 7.9 acres and the prime number is 53
Step-by-step explanation:
Dan raked 6 bags of leaves in 50 minutes. At what rate did
Dan rake?
PLEASEEE HELP MEE
Answers
Hello, 40 POINTS + BRAINLIEST to a answer with a long explanation. The question below is just an example, I need to know how to solve exponents.....
The prime factorization of _________ is 2 (to the fourth power) × 5.
How do you solve with the fourth power thing? I am confused....
Please help as soon as possible :)
Answers
Answer:
you times the number by itself the number of times the power is. 10 to the fourth power is 10 times 10 times 10 times 10, etc.
Step-by-step explanation:
For instance 10 to the third power is 1000 because 10 times 10 times 10=1000/
For your example the answer is 2 times 2 times 2 times 2=16. To figure out how much you times it by is if it is to the power of 4, you times it by itself 4 times, power of 5 = times it by itself 5 times, etc. Hope it helps!
A concentrated cleaning solution must be mixed with water in a container that allows users to spray onto the surfaces they need to clean. Pam’s mom asked her to add 30 ounces of cleaning concentrate into the sprayer and then add water to fill the sprayer. Her father told her that the sprayer must contain 20% cleaning concentrate and 80% water.
a. How many ounces does the sprayer hold?
ounces
b. How much water was added to the sprayer?
ounces
Answers
Answer: The sprayer can hold 150 ounces, and Pam needs to add 120 ounces of water.
Step-by-step explanation:
The data that we know is:
We must use 30 oz of cleaning concentrate.
The end product must be 80% water and 20% cleaning concentrate.
This means that:
Mass of water/total mass in the sprayer = 0.8
mass of cleaning concentrate/total mass in the sprayer = 0.2
Then, let's define the variables:
X = ounces that the sprayer can hold.
Y = ounces of water added.
Then we have the equations:
30oz + X = Y.
30oz/Y = 0.20
X/Y = 0.80
From the second equation we can find the value of Y.
30oz = 0.20*Y
30oz/0.20 = Y = 150oz.
Then the sprayer can hold 150 ounces.
Now from the third equation we have:
X/Y = 0.8
We know that Y = 150oz
Then:
X/150oz = 0.8
X = 0.8*150oz = 120 oz.
Then the water that must be added is 120 ounces.
Peter drives at a speed of 70 miles per hour.
How long will it take to drive 455 miles?
hours
Answers
Answer: 6.5 hours
Step-by-step explanation:
You have to find out how long it’ll take, so you divide the total amount by the speed, so 455/70=6.5
Answer:6
Step-by-step explanation:
e equation y+3=2(x+3)?
With a graph
Answers
Answer:
78.909877
Step-by-step explanation:
89.0987
I need help pls pls pls
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Answer:
A. the study had no control group
Solve for x.
please help
x =
Answers
Answer:
x = 1
Step-by-step explanation:
1 + 24x + 105 + 51x - 1 = 180
75x = 75
x = 1
A teacher chooses two students in a class of 15 girls and 10 boys. The students are randomly chosen. What is the probability that the teacher chooses two girls?
Answers
The probability that the teacher chooses two girls is 3 / 5.
What is probability?Probability is defined as the ratio of the number of favorable outcomes to the total number of outcomes in other words the probability is the number that shows the happening of the event.
Probability = Number of favorable outcomes / Number of sample
Given that a teacher chooses two students in a class of 15 girls and 10 boys. The probability is calculated as:-
P = 15 / 25
P = 3 / 5
Hence, the probability is 3 / 5.
To know more about probability follow
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What is 14.764823 rounded to?
Answers
Answer:
14.76 (if rounded by hundredths.)
Step-by-step explanation:
hoped this help </3