Answer:
∠64° and ∠26°
Step-by-step explanation:
Complementary angles add up to 90° total (two angles).
Lets give variable values to each angle:
x= 12 more than twice the measure of the complement
y= complement
Write an equation equaling to a total of 90:
[tex]x+y=90[/tex]
Write an algebraic expression for the value of x:
[tex]12+2y[/tex]
Insert the value for x into the equation:
[tex]12+2y+y=90[/tex]
Simplify and solve for y:
[tex]12+3y=90\\\\12-12+3y=90-12\\\\3y=78\\\\\frac{3y}{3}=\frac{78}{3}\\\\ y=26[/tex]
The value of y is 26. Insert this value into the original equation and solve for x:
[tex]x+26=90\\\\x+26-26=90-26\\\\x=64[/tex]
The value of x is 64. So, the complemenatry angles are 64° and 26°.
:Done
From the given measure whose angle is 12° more than twice the measure of its complement.
The measure of the two angles is 64° and 26° respectively.
Complementary angles are angles whose sum is equal to 90°. It is usually composed of two angles complementing themselves. Hence, the term complementary angles.
Mathematically;
Let the first angle be p and the second angle be q∴
p + q = 90° ( complemntary angles)
If one of the angles is 12 more than twice its complement;
i.e.
Let p = 12
SO, the algebraic equation for the value of p is:
12 + 2q = 90
Replacing the value of q to solve the equation, we have:
12 + 2q + q = 90
12 + 3q = 90
3q = 90 - 12
3q = 78
q = 78/3
q = 26°
From p + q = 90° ( complemntary angles)
Replacing the value of q = 26°, we have:
p + 26° = 90°
p = 90° - 26°
p = 64°
In conclusion, the measure of each angle is 64° and 26°.
Learn more about complementary angles here:
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A Inertia Does the diagram below represent 18 Balanced or Unbalanced forces? 75 N 50 N 25 N
5Answer: It depends on which way the inertia is going. Adding the numbers/newtons aren't hard at all, ust add 75+50+25 which would give you 150N
Step-by-step explanation:
Someone help me please
A school is planning a fundraiser for a trip to
Washington D.C. The students plan to sell
pencils with the school logo for $1.50 each.
They compare three online companies that sell
personalized pencils in bulk. Which company
should they choose? How much profit will they
make on each pencil?
Click on each company to reveal the unit price.
Company A: 100 pencils for $44.00
Company B: 150 pencils for $60.00
Company C: 200 pencils for $76.00
A trail map has a scale of 3 inches to 2 miles. On the map, a trail is
5 1/4 inches long.
How long is the actual trail?
A. 1 and 3/4 miles
B. 2 and 5/8 miles
C. 3 and 1/2 miles
D. 7 and 7/8 miles
Answer:
it is not c. that is what I know
Step-by-step explanation:
The length of the actual trail will be 3 and 1/2 miles. The correct option is C.
The mathematical expression is the combination of 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 be used to denote the logical syntax's operation order and other properties.
Given that a trail map has a scale of 3 inches to 2 miles. The length of the actual trail will be calculated as:-
3 inches = 2 miles
1 inch = 2 / 3 miles
5¹/₂ inches = 5¹/₂ x ( 2 / 3 )miles
5¹/₂ inches = 5.2 x ( 2 / 3 )
5¹/₂ inches = 3.5 miles = ( 2¹/₂) miles
Therefore, the length of the actual trail will be 3 and 1/2 miles. The correct option is C.
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A zoo is creating a new fenced living area for its tortoises. The zookeeper estimates that they will need a space that is about 40 feet by 50 feet to accommodate the animals. Which type of formula should the zoo use to determine how much fencing they will need to construct the pen? a.) Volume b.) Perimeter c.) Profit d.) Area
Answer:
I'd use perimeter. Will determine how much feet of materials will be needed.
Answer:
Perimeter
Step-by-step explanation:
You're finding the distance around a two-dimensional shape.
Please answer the question in the photo!
Answer:
I cant see the photo
Step-by-step explanation:
but the answer is 1
After taxes, Alexandra's take home pay is 7 10 of her salary before taxes. Enter and solve an equation to find Alexandra's salary before taxes for the pay period that resulted in $378 of take-home pay. Let s represent your variable.
Answer:
$540
Step-by-step explanation:
Let s be Alexandria's salary before taxes.
Let t be her take-home after taxes = $378
The question says her take-home is 7/10 of her salary before taxes
So to calculate what her salary was before taxes:
s x (7/10) = $378
We divide both sides by 7/10
S = 378 ÷ 7/10
S = 378x10/7
S = 3780/7
S = 540
Therefore from the calculations above, her salary before taxes was $540
a die is thrown once find the probability of getting number 3
Answer:
0.5
Step-by-step explanation:
there are 6 sides the probability of getting 3 is 3/6=1/2=0.5
Answer as a fraction = 1/6
This is because there is one side labeled "3" out of 6 sides total.
If you need the decimal form, then that is approximately 1/6 = 0.167
Write the equation of a line with a slope of -2 and a y-intercept of 5. (2 points)
Answer:
-2x+y=5
Step-by-step explanation:
I got this answer on Desmos Graphing Calculator.
the other ones don't make sense with what you were asking for. sorry if this isn't adequate.
A submarine is cruising at 25m below sea level. It descends 15m. What is the new depth?
Answer:
40m below sea level
Step-by-step explanation:
25m+15=40
Answer:
40 m below sea level
im assuming 25m+15m because the submarines decending
[tex]2(x + 7) + 10[/tex]
A. Two times the sum of x and seven plus ten
B. Two times the difference of x and seven plus ten
C. Two times x minus seven plus ten
D. Two times x plus the sum of seven and ten
Answer:
2(x+7)+10
A. Two times the sum of x and seven plus ten
B. Two times the difference of x and seven plus ten
C. Two times x minus seven plus ten
D. Two times x plus the sum of seven and ten ✓
[tex] \huge \purple {\tt {2(x + 7) + 10}} [/tex]
A. Two times the sum of x and seven plus ten
B. Two times the difference of x and seven plus ten
C. Two times x minus seven plus ten
D. Two times x plus the sum of seven and ten✓✓✓
Choose Yes or No to tell whether the number is a
perfect cube.
a. 27
Yes
O No
b. 100
Yes
No
C. 125
Yes
No
d. 1,000
Yes
No
Answer:
A. Yes
B. No
C. Yes
D. Yes
What is the 5th term in the following sequence:
2, 5, 11, 23...
Helpppp
Answer:The first few Thabit numbers are: 2, 5, 11, 23, 47, 95, 191, 383, 767, 1535, 3071, 6143, 12287, 24575, 49151, 98303, 196607, 393215, 786431, 1572863, ...
...
Thabit number.
Named after Thābit ibn Qurra
First terms 2, 5, 11, 23, 47, 191, 383, 6143, 786431
Largest known term 3×211,895,718 − 1
OEIS index A007505
Step-by-step explanation:
Evaluate the expression for y=17
y+15=
Answer: 32
Step-by-step explanation:
y = 17
and you are give the expression y + 15
so substitute the value of y into the expression and add them
17 + 15 = 32
A gallon of gasoline costs$2.29. Your care has a 25-gallon has tank. Find the cost of the filling if your tank is already 3/8 full. PLEASE HELP ME
Answer:
$35,78125
Step-by-step explanation:
8/8 - 3/8 = 5/8
25*5/8 = 15.625
15.625*2.29 = 35.78125
Identify the graph of y = 0.75x^2 -5 and identify the vertex and axis of symmetry
Answer:
The top right one
Step-by-step explanation:
If you plug a 0 in for x the answer is negative, so that's where the point of the V needs to be.
Solve the equation using the Properties of Equality.
Answer:
m = 11/36
Step-by-step explanation:
6/7 m - 1/7 = 5/ 42
Multiply each side by 42 to clear the fractions
42(6/7 m - 1/7) = 5/ 42 *42
36m - 6 = 5
Add 6 to each side
36m -6+6 = 5+6
36m = 11
Divide each side by 36
36m/36 = 11/36
m= 11/36
is it true if a number contains decimal places, then it’s an integer?
Answer:The integers are ..., -4, -3, -2, -1, 0, 1, 2, 3, 4, ... -- all the whole numbers and their opposites (the positive whole numbers, the negative whole numbers, and zero). Fractions and decimals are not integers. ... For example, -5 is an integer but not a whole number or a natural number.
Step-by-step explanation:
16 of the 22 students in Mrs. Burnham's class passed a quiz. About what part of the students passed the quiz?
Answer: about 3/4
Step-by-step explanation:
Either guess it by looking at the two numbers, or do it mathematically:
( 100 / 22 ) x 16 = 72%
72% is about 75% or 3/4
2(x^2-7)+8=40 just answer pls
Answer:
x = +- sqrt 23
Step-by-step explanation:
positive and negative square root of 23.
Answer:
x=√ 23 and x=-√ 23
Step-by-step explanation:
2(x^2-7)+8=40
2x^2-6=40
2x^2=46
x^2=23
x=√ 23
x=-√23
Point P is in the interior of ∠OZQ. If m∠OZQ = 125 and m∠OZP = 62, what is m∠PZQ?
Answer:
63°Step-by-step explanation:
If point P is in the interior of ∠OZQ, then ∠OZQ = ∠OZP+∠PZQ. Given m∠OZQ = 125 and m∠OZP = 62, to get m∠PZQ, we will substitute the value of the angles given into the expression above as shown;
∠OZQ = ∠OZP+∠PZQ.
125 = 62 + ∠PZQ.
subtract 62 from both sides;
125 - 62 = 62 + ∠PZQ -62
63 = ∠PZQ
Hence the angle m∠PZQ is 63°
Do 3 lines always, sometimes or never intersect at one point?
Answer:
Sometimes
Step-by-step explanation:
Three line sometimes intersect
Help please! Any help is appreciated
Answer:
Wassup
Step-by-step explanation:
Wut do u need help on .o.
Simplify 7(x + 3).
7x + 3
7x + 21
Ox+ 21
07x + 10
Answer:
The answer is 7x+21
Step-by-step explanation:
You just multiply 7 by both x and 3 but keep them separate
Find 5 consecutive numbers whose sum is 65.
Answer:
11, 12, 13, 14 and 15.
Step-by-step explanation:
This is because these numbers are consecutive and add up to 65
PLEASE GIVE BRAINLIEST
Answer:
11 + 12 + 13 + 14 + 15 = 65
consecutive numbers are numbers that don't have gaps in between
PLEASE HELP ME! AND THANK YOU!
Answer:
Real Numbers, Rational Numbers, Integers
Step-by-step explanation:
help me with this please
Answer:
C. 7.5m
Step-by-step explanation:
[tex]8m \: up= 3m \: above \\ 12m \: up = x \: above[/tex]
Cross multiply
[tex]8x = 12 \times 3 \\ 8x = 36[/tex]
Divide both sides of the equation by 8
[tex] \frac{8x}{8} = \frac{36}{8} \\ x = 4.5 \\ 3 + 4.5 = 7.5m[/tex]
What is the range of the function? HELP!!
Vincent ran 24 laps on Monday. This is 66 and two-thirds percent of the maximum number of laps he has run in one day. What is the maximum number of laps Vincent has run in one day?
Number of Laps
33 and one-third percent
33 and one-third percent
33 and one-third percent
Answer:
36
Step-by-step explanation:
it just is just trust me its right
Answer:
36.
Step-by-step explanation:
I Took The Quiz (On Edge) and I Solved It and it happened to be 36. Hope This Helps :).
A security guard uses 20 minutes of every hour to walk outside the school, leaving the remaining
40 minutes for monitoring inside the school. Write the ratio that represents the time the
security guard spends outside to the time spent inside.
Answer:
40/20, 40:20, 40 to 20
Step-by-step explanation:
20min/1hr
40min/1hr
Question order asks ratio from outside time to inside time so the 40 would come first. also, all the above are correct. You can write a ratio as a fraction, with a colon, or with the word to.
Samantha has $48 to spend on used video games. Single player games cost $6 each and multi player games cost $12 each. What equation, in standard form, determines the number of single player games (x) and the number of multi player games (y) Samantha can buy?
Answer:
The equation is
6x + 12y = 48
Step-by-step explanation:
Standard form another way of writing a linear equation. It is in the form
Ax + By = C
Total amount with Samantha = $48
Single player games = $6 each
Multi player games = $12 each
Let
Number of Single player games = x
Number of Multi player games = y
The number of single player games (x) and the number of multi player games (y) Samantha can buy is
6x + 12y = 48
That is price × quantity of single player games + price × quantity of multi player games = Total amount with Samantha