an angle measures 15 degrees more than its complement. Find the measures of the two angles
Answers
Answer:
The first angle is 37.5° and the second would be 52.5°
Step-by-step explanation:
Angles are complementary when their sums add up to 90°.
[tex]x+(x+15) = 90\\x+x+15=90\\x+x=75\\x=37.5[/tex]
The first angle is 37.5° and the second would be 52.5°, after we plug in x.
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Answer:
Angle 1 = x = 37.5°Angle 2 = x + 15 = 52.5°Concept:
Here, we need to know the idea of the complementary angle.
Two angles are said to be complementary if they add up to 90 degrees.
Be aware that three or more angles cannot be complementary even if their sum is 90 degrees.
Solve:
Given information
Angle 1 = x
Angle 2 = x + 15
Given expression deducted from the definition of the complementary angle
Angle 1 + Angle 2 = 90
Substitute values into the expression
(x) + (x + 15) = 90
Combine like terms
(x + x) + 15 = 90
2x + 15 = 90
Subtract 15 on both sides
2x + 15 - 15 = 90 - 15
2x = 75
Divide 2 on both sides
2x / x = 75 / 2
[tex]\boxed{x=37.5}[/tex]
Find the measure of angle 2
Angle 2 = x + 15 ⇔ Given expression
Angle 2 = (37.5) + 15 ⇔ Substitute values into the expression
Angle 2 = [tex]\boxed{52.5}[/tex] ⇔ Simplify by addition
Hope this helps!! :)
Please let me know if you have any questions
Related Questions
I need help and ty for helping
Answers
48/6=8
32/4=8
93. Let f(x) = 3x - 1 and g(x) = x + 5. Evaluate the following limits. (a) lim x→3 f(g(x)] (b) lim x→3 g[f(x)]
Answers
Answer:
a) 26. b) 13
Step-by-step explanation:
steps are in picture.
Note:If you have any question about it you can ask.
help please, need help.
Answers
Answer: c
Step-by-step explanation:
correct answer would be b.
this is shown by just moving the individual points following the directions of the different answer choices.
A number rounded to the nearest hundred thousand is 400,000 the same number rounded to the nearest ten thousand is 350,000 what is the number
Answers
Answer:
347,000
Step-by-step explanation:
Vertical Stretch of 7, up 8, reflect over the x axis???
Answers
Answer:
f(x) = -(7x) + 8
Step-by-step explanation:
The negative on the outside reflects over the x-axis.
The 7 on the inside stretches the function vertically.
The +8 on the outside moves the function up 8.
-3/7(21x+7)=-7x+11
A.) x=-7/8
B.) x=-7
C.) x=7
D.) x=-7/8
Answers
Answer:
B
Step-by-step explanation:
-3/7 (21x + 7) = -7x + 11
Let's simplify the left side real quick
Distribute the -3/7
(-3/7)21x + 7(-3/7)
-63x/7 + -21/7
-9x - 3 = -7x + 11
Move like terms to one side
Let's move the variables to the left side by adding both sides by 7x
-9x - 3 = -7x + 11
+7x +7x
-2x - 3 = 11
Add both sides by 3
-2x - 3 = 11
+3 +3
-2x = 14
Divide both sides by the coefficient, -2, to isolate the variable, x
-2x/-2 = 14/-2
x = -7
the square root of 24025
Answers
Answer:
155
Step-by-step explanation:
✓24025=155
..,......,.................
4x squared minus 7x =3
Answers
Step-by-step explanation:
4x^2-7x=3
4x^2-7x-3=3-3
4x^2-7x-3=0
X1,2= -(-7)±√(-7)^2-4*4(-3)/2*4
x1,2= -(-7)±√97/2*4
X=7+√97 /8,X=7-√97 /8
The new bookcase for your future dorm room has the dimensions of 24 in wide by 12 in deep by 36 in tall. If one average textbook has the dimensions of 8.5 in wide by 11 in long by 1.5 in tall, how many books could you fit on your bookshelf with no shelving?
Answers
Answer:
About 73.93 books. Round that to 73 books, because you can't place 93% of a book.
Step-by-step explanation:
You first calculate to dimensions of the bookcase, then you calculate the dimensions of the books. As a result, divide the calculation of the bookshelf by the calculation of the books, and you should have your answer.
Can someone help me with problem 6 and 7? Please explain I am confused
Answers
Same with 7. They are each simplified already. I would suggest asking your teacher.
As you move to the right of this place value chart you are multiplying by what value
Answers
Answer: 1/10 or 0.1
For example, going from 700 to 70 is
700*(1/10) = 700*0.1 = 70
which is us going from the hundreds place value to the tens place value.
If we move to the left instead of right, we would multiply each item by 10.
How do you add or subtract fractions?
Answers
Answer:
STEP ONE: Get a common denominator.
STEP TWO: Add or subtract the numerators.
STEP THREE: Simplify the result if needed.
And that's all there is to it! Final Answer
Answer:
By doing it normally as in arithmetic rule
Step-by-step explanation:
For starter see the following 2 numbers
334, 53
let add them and substract them in arithmetic way
334
+53
------
387
and
334
-53
------
281
here from right to left we add a single number and write it under the line, if the sum is above 1 decimal value the value upto 1 decimal from the very right of that number is written , for example in case of 9+8 that would be 17 so we would write 7 and carry 1, and the oposite of that for subtraction
Just in the same way lets consider the following example
1.23
+0.93
--------
2.16
and
1.23
-0.93
---------
0.30
Add followup question if needed
Michael is working two jobs. He gets paid $15 per hour for his job. He earns $12 per hour at his second job. Michael worked the same amount of time at each job. Michael earned a total of $405 for the week. How many hours did he spend working at each job? How many hours did Michael work in the week total?
Answers
Answer:
15 hours and 30 hours
Step-by-step explanation:
SEE THE IMAGE FOR SOLUTION
HOPE IT HELPS
HAVE A GREAT DAY
Angle sum theorem. What does y=?
Answers
Answer:
90 degrees
Step-by-step explanation:
PLSSS HELPPPPP- Evaluate the expression. 1 1 4 25 3 Write your answer as a fraction or as a whole or mixed number.
Answers
Answer:
Mixed number form 4 4/5 exact form 24/5
Step-by-step explanation:
hope this helps
Answer:
Step-by-step explanation:
8/15
what is equivalent to -7/-9
Answers
What is the y-intercept of the function f(x) = -2/9x+1/3
Answers
Answer:
(0, 1/3)
Step-by-step explanation:
When a function is given in slope-intercept form, the y value of the y-intercept can be seen at the end of the function. In this case, the y-intercept of the function is (0, 1/3).
Good science requires that you record your observations accurately.
TrueFalse
Answers
Answer:
True.
Step-by-step explanation:
Does anyone know how to do this
Answers
Answer:
Step-by-step explanation:
1. Thousands. Grater number 1,799,347
2. Millions. 3,555,782
3. Hundred thousands. 97,245,375
4. Hundred millions. 670,256,112
5. Hundreds. 34,910,295
6. Tens. 83,945,290
7. Ones. 823,579,044
8. Ten millions. 759,566,000
9. Ten thousands. 56,230,448
10. Tens. 967,442,021
11. Hundred thousands. 326,738,902
12. Tens. 5,266,993
0 can be natural number true or false
Answers
Answer:
No Natural numbers start from 1
Step-by-step explanation:
true it can be a natural number
Please help this work is some BS☹️
Answers
Answer: Ray AC is correct
This is because ray AE points in the same direction along ray AC. Put another way, points C and E are on the same line as A. So relabeling from "ray AE" to "ray AC" does not change the ray itself.
Keep in mind that order is important. So saying "ray AE" is completely different from "ray EA" due to the fact that the first letter is the endpoint while the second letter is where the ray goes on forever. So we can think of starting at point A and going in the direction of E to get ray AE, or going in the direction of C to get ray AC, and we're talking about the same ray.
(4) ^ (1/3) * (3 ^ (1/3) * 3 ^ (1/2)) ^ 7 / (9 ^ (3/4))
Answers
Answer:
[tex] \sqrt[3]{4} \times {3}^{ \frac{35 \sqrt{3} }{54} } [/tex]
Step-by-step explanation:
attached
Solve.
2x−y−4z=4
3x−2z=7
x−2y=−2
Enter your answer, in the form (x,y,z), in the boxes in simplest terms.
Answers
9514 1404 393
Answer:
(x, y, z) = (2, 2, -1/2)
Step-by-step explanation:
Most manual solutions to a system of 3 equations in 3 unknowns are ad hoc. The idea is to take advantage of any relationships that might exist between the coefficients.
Multiply the first equation by 2, then subtract the third equation.
2(2x -y -4z) -(x -2y) = 2(4) -(-2)
4x -2y -8z -x +2y = 8 +2 . . . . . . . eliminate parentheses
3x -8z = 10 . . . . . simplify
Now, we can subtract this from the second equation:
(3x -2z) -(3x -8z) = (7) -(10)
6z = -3 . . . . . . . simplify
z = -1/2 . . . . . . . divide by 6
Using the second equation, we can find x:
3x -2(-1/2) = 7
3x = 6 . . . . . . . . subtract 1
x = 2 . . . . . . . . . divide by 3
Using the last equation, we can find y:
2 -2y = -2
1 -y = -1 . . . . . . divide by 2
y = 2 . . . . . . . . add y+1
The solution is ...
(x, y, z) = (2, 2, -1/2)
6. The population of wolves is currently 250 in a forest. Scientists estimate that there should be a
10% increase in population next year. What would the population of wolves be next year?
Answers
Answer:
275
Step-by-step explanation:
250÷10=25 250+25=275
Noemy had homework three days of the school week. What is the ratio of days with homework to days without homework?
Answers
Answer:
3 : 2
Step-by-step explanation:
Number of days having homework during school week = 3
Number of days not having homework during school week = 5 - 3 = 2
Homework days : Without home work days = 3 : 2
Write expression as a sine or cosine of an angle.
cos 94° cos 18° + sin 94° sin 18°
Answers
=========================================================
Explanation:
The original expression is of the pattern cos cos + sin sin. This pattern matches the second identity in the hint. Specifically, we'll say the following:
cos(A - B) = cos(A)cos(B) + sin(A)sin(B)
cos(A)cos(B) + sin(A)sin(B) = cos(A - B)
cos(94)cos(18) + sin(94)sin(18) = cos(94 - 18)
cos(94)cos(18) + sin(94)sin(18) = cos(76)
----------
We can verify this by use of a calculator. Make sure your calculator is in degree mode.
cos(94)cos(18) + sin(94)sin(18) = 0.24192cos(76) = 0.24192Both expressions give the same decimal approximation, so this helps confirm the two expressions are equal. You could also use the idea that if x = y, then x-y = 0. Through this method, you'll subtract the left and right hand sides and you should get (very close to) zero.
help!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answers
Answer:
-10 because you do parenthesis first
Answer:
x = -10
Step-by-step explanation:
3(-2x - 3) + 4x - 3 = 8
~Simplify
-6x - 9 + 4x - 3 = 8
-2x - 12 = 8
~Add 12 to both sides
-2x = 20
~Divide -2 to both sides
x = -10
Best of Luck!
Simplify 8/11 divided by 4
Answers
Answer:
2/11
Step-by-step explanation:
This will not always work!!! But i divided 8 by 4 and got 2. I used my calculator and got the same exact answer
Hope this helps.
the base of a prism is right angled triangle with its two shorter sides equal to 4cm and 8cm . the prism is 10cm long.!
Answers
Answer: you want :
volume = area of base x height
Your base is a right-angled triangle
= (1/2)(4)(8)
multiply that by the height of the prism and you are done
Step-by-step explanation: add me brainliest and rate and say thanks
-what is the sum of -15+18
Answers
Step-by-step explanation:
the sum of - 15 + 18 is 3
please mark the brainliest thank you
Answer:
Step-by-step explanation:
-15+18 = 3