Step-by-step explanation:
Finally complement of the supplement of twice the angle 60°=90°-60°=30
60 degrees angle is an acute angle because it is less than 90 degrees. 60° in radians is π/3 and the measure of each angle of an equilateral triangle is 60°. Therefore, it is also called a 60-degree angle triangle.
please mark me as brainlist pleaseGiven :
An angle which measures less 60° the measure of its complementary angle.⠀
To Find :
The measure of its complementary angle.⠀
Solution :
Let's assume the one of the complementary angle as "x" and the other angle as (x - 60)° .
Now,
According to the Question :
[tex]\: \qquad \dashrightarrow \sf{{x {}^{ \circ} + (x - 60) {}^{ \circ} = {90}^{ \circ} }}
[/tex]
[tex]\: \qquad \dashrightarrow \sf{{x {}^{ \circ} + (x - 60) {}^{ \circ} = {90}^{ \circ} }}
[/tex]
[tex]\: \qquad \dashrightarrow \sf{{x {}^{ \circ} + x {}^{ \circ} - 60 {}^{ \circ} = {90}^{ \circ} }}
[/tex]
[tex]\: \qquad \dashrightarrow \sf{{{2x}^{ \circ} = {90}^{ \circ} + 60 {}^{ \circ} }}
[/tex]
[tex]\: \qquad \dashrightarrow \sf{{{2x}^{ \circ} = 150 {}^{ \circ} }}
[/tex]
[tex]\: \qquad \dashrightarrow \sf{{x = \dfrac{150 {}^{ \circ}}{2 {}^{ \circ}} }}
[/tex]
[tex]\: \qquad \dashrightarrow \bf{{{x}^{ \circ} = 75 {}^{ \circ} }}
[/tex]
Therefore,
One angle = 75°Other angle = 75° – 60° = 15°⠀
Henceforth ,
The measure of the two angles are 75° and 15° .
what is the answer to 35r−21<−35r+19
Answer:
r < 4/7
Step-by-step explanation:
35r−21<−35r+19
35r + 35r < 19 + 21
70r < 40
r < 40/70 or r < 4/7
HELPPP FOR BRIANLEST!!!!
Answer:
12/17
Step-by-step explanation:
total that are NOT Toe Knows shoe (7) plus total that are NOT pleased (10) and subtract total that are not toe knows and not pleased (5)
7 + 10 - 5 = 12
over total (17)
12/17 doesn't simplify
combine like terms 4(p+3)-8 i need the answer quick
Answer:
4p + 4
Step-by-step explanation:
Original expression:
4(p + 3) - 8
Apply the distributive law: a(b + c) = ab + ac
⇒ 4p + 12 - 8
Subtract 8 from 12:
⇒ 4p + 4
Find the measure of each angle
m∠A =
m∠B =
m∠BCA =
Before we solve for each angle, let's find the bottom left angle of the triangle.
We know that:
Straight line = 106 + xStraight line = 180This means that:
⇒ 106 + x = 180Step-by step calculations:
⇒ 106 + x = 180
⇒ 106 - 106 + x = 180 - 106
⇒ x = ∠BCA = 74°
Solving for y:We know that:
⇒ Sum of the interior angles of the triangle: 180°
This means that:
⇒ (74) + (3y + 22) + (4y) = 180
Step-by step calculations:
⇒ (74) + (3y + 22) + (4y) = 180
⇒ 96 + 7y = 180
⇒ 96 - 96 + 7y = 180 - 96
⇒ 7y = 84
⇒ 7y/7 = 84/7
⇒ y = 12
Finding the measure of each angle:Step-by step calculations:
⇒ ∠B = 3y + 22
⇒ ∠B = 3(12) + 22
⇒ ∠B = 36 + 22
⇒ ∠B = 58°
-------------------------------------
⇒ ∠A = 4y
⇒ ∠A = 4(12)
⇒ ∠A = 48°
Help me please!!!!!!!!!!!!!!!
Answer:
[tex] \frac{5}{6} \: - \frac{5}{6} [/tex]
Step-by-step explanation:
[tex] \sqrt{ \frac{25}{36} } = \frac{ \sqrt{25} }{ \sqrt{36} } = \frac{5}{6} [/tex]
Aron flips a penny 9 times. Which expression represents the probability of getting exactly 3 heads?.
Answer:
1/3
Step-by-step explanation:
3/9 = 1/3
I NEED HELP! I WILL GIVE BRAINLIEST
Answer:
As time increases, grams decrease
To describe the relationship between the two quantities, we first have to identify what those two quantities are.
Well, it says it right on the graph.
Our two quantities are time (the x value) and grams (the y value)
So, what is the relationship between the two quantities?
Well, let's first look at what each one is doing.
Well, time is increasing
Grams, however, are decreasing
So, the relationship is as follows:
As time increases, grams decrease
A car travels 480 miles in 12 hours. What is the rate in miles per hour? In hours per mile
Answer:
40 miles per hour and .025 hours per mile
Step-by-step explanation:
480/12=40
12/480 = .025
hello can you help me with this question? 15 points
(87 POINTS I NEED ANSWER TODAY!!!) A right trapezoidal prism is sliced parallel to its base.
What is the shape of the resulting two-dimensional cross section?
trapezoid
parallelogram
rectangle
square
Answer:
trapezoid
Step-by-step explanation:
A right trapezoid has 2 parallel sides and 2 adjacent right angles.
In geometry, the base of a prism is the actual shape.
So the base of a triangular prism is the triangle, similarly the base of a pentagonal prism is the pentagon, etc.
Therefore, the base of a trapezoidal prism is the trapezoid itself.
If the prism is cut parallel to the base, then the cross section will be the same shape as the base. So in this case, it will be a trapezoid.
Answer:
sQUARW
Step-by-step explanation:
Lynn was shopping and found a purse that was marked with a discount of [tex]\frac{1}{3}[/tex]off.” If the original cost of the purse was $80 , how much will Lynn pay?
Answer:
[tex] \frac{160}{3} [/tex]
Step-by-step explanation:
Step 1: A discount of
[tex] \frac{1}{3} [/tex]
means that the current price is two thirds of the original cost.
Step 2: The total cost is
[tex]80 \times \frac{2}{3} = \frac{160}{3} [/tex]
and the answer follows.
Solution:
Note that:
80 x (3/3 - 1/3) = Discounted costSimplify the expression.
80 x (3/3 - 1/3)=> 80 x (2/3)=> 160/3 = $53.33 = Discounted costLynn will pay $53.33.
The New Horizons is an interplanetary space probe that approached the dwart planet Pluto in 2015. How many arc degrees of Pluto are visible to the New Horizons space probe while approaching the dwarf planet?
The value of angle x which is substended in the circle will be D. 342.6°.
How to calculate the circle?From the information given, it has been depicted that the value of the angle that's facing x is 17.4°.
Therefore, the value of x which is inscribed in the circle will be:
= 360° - 17.4°
= 342.6°
In conclusion, the correct option is 342.6°.
Learn more about circle on:
https://brainly.com/question/22965557
Hurry please!
y = 3x +2
y = 3x - 3
These lines are..
A.Perpendicular
B.Neither
C.The same line
D.Parallel
Answer:
Neither
Step-by-step explanation:
To determine if two lines are parallel or perpendicular, you have to look at the slopes. For the line y=kx+b, k is the slope.
For two lines y=k1x+b1 and y=k2X+b2 ,When K1=K2, two lines are parallel; when K1=-1/k2, two lines are perpendicular. It doesn't matter whatever b1, b2 are. Hence to save time, you only need to calculate k1 and k2.
To calculate the slope k of any line, you have to change the equation to y=kx+b
For -y=3x-2, k=3/(-1)=-3 (you divide -1 on each side of =, but you don't need to calculate -2/(-1))
For -6X+2y=6, K=6/2=3 (you first move the -6x to right side, it becomes 6x, then divide by 2)
Now you can get the answer: The two lines neither parallel nor perpendicular
Answer:
D. Parallel
Step-by-step explanation:
When Graphed, These two equations bring up lines that are parallel to each other
A trapezoid has an area of 234.06 square feet. One base is 19.2 feet long. The other base is
9 feet long. What is the height?
Answer: Height = 16.6 ft
Step-by-step explanation:
The area of a trapezoid is (b1+b2)*h/2, where b1 and b2 are the bases and h is the height.
We can plug in the values given:
234.06 ft^2 = (19.2 ft + 9 ft)*h/2
We can multiply both sides by 2 and combine like terms:
468.12 ft^2 = 28.2 ft*h
Divide both sides by 28.2 ft:
Height = 16.6 ft
the area of a square and square feet is represented by 4z^2 - 36z + 81. Find an expression for the perimeter of the square. Then find the perimeter when z=10 ft
Help………dndjrjrjrjrjrrhrhd
If a line goes through points (-2, 9) and (0, 3), what is its slope?
a. -1/3
b. -3
c. 3
d. 6
Answer:
b. -3
Step-by-step explanation:
slope = y2 - y1 / x2 - x1
= 3 - 9 / 0 + 2
= -6 / 2
= -3
Answer:
b
Step-by-step explanation:
calculate the slope m using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (- 2, 9 ) and (x₂, y₂ ) = (0, 3 )
m = [tex]\frac{3-9}{0-(-2)}[/tex] = [tex]\frac{-6}{0+2}[/tex] = [tex]\frac{-6}{2}[/tex] = - 3
Find the product.
a 413 a 22a + 1)
3 a
-2 a
+1a
Answer:
[tex]=13a^{437}+12a[/tex]
Step-by-step explanation:
[tex]\left(a^{413}a^{22}a+1\right)\cdot \:13a-2a+1\cdot \:a[/tex]
[tex]\mathrm{Add\:similar\:elements:}\:-2a+1\cdot \:a=-a[/tex]
[tex]=\left(a^{413}a^{22}a+1\right)\cdot \:13a-a[/tex]
[tex]=\left(a^{436}+1\right)\cdot \:13a-a[/tex]
[tex]=13a\left(a^{436}+1\right)-a[/tex]
[tex]=13a^{437}+13a-a[/tex]
[tex]\mathrm{Add\:similar\:elements:}\:13a-a=12a[/tex]
[tex]=13a^{437}+12a[/tex]
I will give brainliest
Find Volume of cone
half of 4 is 2
22 * 2 44
what is (−8.7)⋅(−10)?
Cesser had $60. He spent $36.90 on a pair of shoes and the rest on a shirt. A) what percent of his money did he spend on his shoes? B) what percent of his money did he spend on the shirt?
36.9 / 60 = 61.5% on shoes and 38.5% on the shirt
The store buys a vase for $25. The vase sells for $55. What is the markup on the vase?
Answer:
The answer is $30
Step-by-step explanation:
Markup refers to the amount added to the cost price of goods to cover overhead and profit.
The vase was bought for $25, then is now selling for $55
$55-$25=$30
hope this helps please mark brainliest :)
Help tysm SKjdnbhfredjnkasdnebh
Answer:
9 + 15 = 2424 × 3 = 72= 72Step-by-step explanation:
I'am a filipino/koreanBrainliestAnswer:
72 is the answer.Step-by-step explanation:
#BrainliestBunchA radio station is giving away a total of Rs 124,000 in August on promotion. If they increase the amount given away each day by Rs 100.
(i) How much should they give away the first day?
(ii) How much have they give away on the 15th day ?
On the first day the company is giving Rs124, 000.
On the fifteenth day the company will give Rs 125400
The amount they wanted to give in august for promotion is Rs 124,000. They increased the amount each day by Rs 100.
Therefore, the sequence will be as follows;
124,000, 124,100, 124,200 .......
i.
The amount they will give on the first day is Rs124, 000
Arithmetic progression formulaaₙ = a + (n - 1)dii
The sequence is increasing by 100. Therefore,
common difference = 100
first term = 124, 000
Therefore,
a₁₅ = 124000 + (15 - 1)100
a₁₅ = 124000 + 1400
a₁₅ = 125400
learn more on algebra here: https://brainly.com/question/5722672
Who was alan turing and what were his contributions to the field of mathematics?.
Answer:
Alan Mathison Turing OBE FRS was an English mathematician, computer scientist, logician, cryptanalyst, philosopher, and theoretical biologist.
Born: June 23, 1912, Maida Vale, London, United Kingdom
Died: June 7, 1954, Wilmslow, United Kingdom
Turing's main contribution to mathematics, however, was his work on computation theory. Presaging the invention of the modern computer, Turing designed an abstract computing device known as the Turing machine — an entirely virtual construct which could perform calculations and follow instructions.
please hellllllp i need to get these done
Answer:
56
Step-by-step explanation:
180 = Triangle total angle amount
180 - 68 = 112
112/2= 56
Have an amazing day!!
PLEASE RATE AND MARK BRAINLIEST!!!
Find the volume of a pyramid with a square base, where the area of the base is 12. 4\text{ ft}^212. 4 ft 2 and the height of the pyramid is 5\text{ ft}5 ft.
Check the picture below.
[tex]\textit{volume of a pyramid}\\\\ V=\cfrac{Bh}{3}~~ \begin{cases} B=\stackrel{base}{area}\\ h=height\\[-0.5em] \hrulefill\\ B=12.4\\ h=5 \end{cases}\implies V=\cfrac{(12.4)(5)}{3}\implies V=20.\overline{6}~ft^3[/tex]
Can anyone please help me with this ASAP
$4000 is divided between three children in the ratio 2:3:5.
How much does each child receive?
Okay so here is how it works:
Because 2:3:5 is the ratio 10 is the total because 2+3+5 is 10 right?
You therefore equate 10 to 4000
10=4000
so if 10 is equal to 4000 what about 2,3 or 5?
2/10×4000=800
3/10×4000=1200
5/10×4000=2000
Hope this anwered your question
Lin bought 1 pretzel from a snack cart for $4.80. There’s a 5% sales tax rate.
How much did Lin pay for the pretzel?
[tex]\begin{array}{|c|ll} \cline{1-1} \textit{a\% of b}\\ \cline{1-1} \\ \left( \cfrac{a}{100} \right)\cdot b \\\\ \cline{1-1} \end{array}~\hspace{5em}\stackrel{\textit{5\% of 4.80}}{\left( \cfrac{5}{100} \right)4.80}\implies 0.24~\hfill \underset{\textit{price including tax}}{\stackrel{4.80~~ + ~~0.24}{5.04}}[/tex]