Answers
Answer:
Step-by-step explanation:
1) Vertically opposite angles are equal.
x + 30 = 180 - 2x
Add '2x' to both sides
x + 30 +2x = 180
3x + 30 = 180
Subtract 30 from both sides
3x = 180 - 30
3x = 150
x = 150/3
x = 50
2) Let the angle be x
It's complement angle = 90 - x
[tex]x = \frac{2}{3}(90-x)\\\\x = \frac{2}{3}*90 - \frac{2}{3}*x\\\\x =2*30 - \frac{2}{3}x\\\\x +\frac{2}{3}x = 60\\\\\frac{3}{3}x+\frac{2}{3}x=60\\\\\frac{5}{3}x =60\\\\x = 60*\frac{3}{5}\\\\x = 12*3\\x = 36[/tex]
The angles are : 36 , 54
3) Let the angle be x
It's supplement = 180 - x
[tex]x = \frac{1}{5}(180-x)\\\\x =\frac{1}{5}*180 - \frac{1}{5}x\\\\x + \frac{1}{5}x= 36\\\\\frac{5}{5}x +\frac{1}{5}x = 36\\\\\frac{6}{5}x = 36\\\\x = 36*\frac{5}{6}\\\\x = 6*5 = 30\\[/tex]
Angles are 30 , 150
4) Ratio = 7 : 3
The angles are = 7x , 3x
7x + 3x = 180
10x = 180
x = 180/10
x = 18
7x = 7 * 18 = 126
3x = 3 * 18 = 54
Angles are 126 , 54
1. Intersecting lines are lines that cross each other. When two lines intersect, the opposite angles are equal.
Given: x + 30° and 180° - 2x are vertically opposite angles
⇒ x + 30° = 180° - 2x
⇒ 3x = 150°
⇒ x = 50°
2. Let the complement be : C
Given : The other angle is two third of its complement
[tex]\sf{\implies Other \ angle = \dfrac{2}{3} \times C}[/tex]
Two angles are said to be Complementary if their sum is equal to 90°
[tex]\sf{\implies C + \dfrac{2C}{3} = 90}[/tex]
[tex]\sf{\implies \dfrac{5C}{3} = 90}[/tex]
[tex]\sf{\implies 5C = 270}[/tex]
[tex]\sf{\implies C = 54}[/tex]
[tex]\sf{\implies Other \ angle = \bigg(\dfrac{2}{3} \times C\bigg) = \bigg(\dfrac{2}{3} \times 54\bigg) = 36 }[/tex]
Answer: The size of the angle which is two third of its complement is 36°
3. Let the supplement be : S
Given : The other angle is one fifth of its supplement
[tex]\sf{\implies Other \ angle = \dfrac{1}{5} \times S}[/tex]
Two angles are said to be Supplementary if their sum is equal to 180°
[tex]\sf{\implies S + \dfrac{S}{5} = 180}[/tex]
[tex]\sf{\implies \dfrac{6S}{5} = 180}[/tex]
[tex]\sf{\implies 6S = 900}[/tex]
[tex]\sf{\implies S = 150}[/tex]
[tex]\sf{\implies Other \ angle = \bigg(\dfrac{1}{5} \times S\bigg) = \bigg(\dfrac{1}{5} \times 150\bigg) = 30 }[/tex]
Answer: The size of the angle which is one fifth of its supplement is 30°
4. Two supplementary angles are in the ratio 7 : 3
Let the supplementary angles be : 7S and 3S
Two angles are said to be Supplementary if their sum is equal to 180°
⇒ 7S + 3S = 180°
⇒ 10S = 180°
⇒ S = 18°
First Angle : 7S = (7 × 18) = 126°
Second Angle : 3S = (3 × 18) = 54°
Related Questions
Which measure of center best represents the data?
8,8,7,8,8,8,1,8,8
Answers
Answer:
8
Step-by-step explanation:
The median is 8 since 8 is the most common number
a right triangle has legs of lengths 6 and 3, what is the length of the hypotenuse to the nearest tenth
Answers
Answer:
x = 6.7
Step-by-step explanation:
legs of a right triangle are 6,3 and hypotenuse be x
using pythagors theorem to find hypotenuse
a^2 + b^2 = c^2
6^2 + 3^3 = x^2
36 + 9 = x^2
45 = x^2
[tex]\sqrt{45} = x[/tex]
[tex]\sqrt{3*3*5} = x[/tex]
[tex]3\sqrt{5} = x[/tex]
6.70 =x
6.7 =x
Measurement and Geometry
11. What would the total interior angles be for a 21 sided shape?
Answers
Answer:
sum_of_interior_angles = (number_of_sides - 2) x 180° → if number_of_sides is 21: sum = (21 - 2) x 180° = 19 x 180° = 3420°
Step-by-step explanation:
Answer: 3420 degrees
Explanation: You use the formula 180(n-2) with n = 21 to find the answer above.
Pls help me I don’t understand this!!!!
Answers
Answer: D
Step-by-step explanation:
D The angle agacent to arc ML is half the degree. Your answer is 118
Answer:
D
Step-by-step explanation:
angle J is a circumference angle that insists on arc ML. the measure the angle of this arc is double of it
59 * 2 = 118 degrees
a=8 and b=2.25 but what is k
Answers
Answer:
a = 8, b = 2.25, k = 27Step-by-step explanation:
y = abˣPoints on the graph:
(0, 8), (1, 18), (1.5, k)Substitute coordinates into equation and solve for and and b:
8 = ab⁰ ⇒ 8 = a*1 ⇒ a = 818 = 8b ⇒ b = 18/8 ⇒ b = 2.25Find k:
k = 8*[tex]2.25^{1.5}[/tex] = 27Answer:
a=8
b=9/4
k = 27
Step-by-step explanation:
y = ab^x
We know that a is the initial value or when x = 0
We know the point (0,8) so a = 8
y = 8 b^x
Using the point (1,18) for x and y we can find b
18 = 8 * b^1
18/8 = b
9/4 = b
Now
y = 8 * ( 9/4) ^ x
Letting x = 1.5
k = 8 *(9/4)^1.5
k = 27
Hi! can someone help?
Answers
Answer:
129
Step-by-step explanation:
[tex]\frac{5^{4} }{5} +4[/tex]
[tex]\frac{625 }{5} +4[/tex]
[tex]125 +4[/tex]
129
Given that the area of the trapezoid is 55cm find x
Answers
Answer: The value of x is 13.
Step-by-step explanation:
Area of trapezoid = [tex]\dfrac{1}{2}\times\text{sum of parallel sides}\times\text{height}[/tex]
Here , Parallel sides = 9 cm , x cm
Height (Altitude ) = 5 cm
Area = 55 sq. cm
Substitute all values in the formula , we get
[tex]55=\dfrac12\times{(9+x)}\times5\\\\ \dfrac{2\times55}{5}=9+x\\\\ 22=9+x\\\\ x=22-9\\\\ x=13[/tex]
Hence, the value of x is 13.
Line JK passes through points J(–3, 11) and K(1, –3). What is the equation of line JK in standard form?
7x + 2y = –1
7x + 2y = 1
14x + 4y = –1
14x + 4y = 1
Answers
Answer:
7x + 2y = 1
Step-by-step explanation:
First we find the slope m of the line
The slope of a line that passes through 2 points x1, y1 and x2 , y2 is given as
m = (y2 - y1)/(x2 - x1)
Considering the points (–3, 11) and K(1, –3), the slope of the line m
= (-3-11)/(1 --3)
= -14/4
= 7/2
the line JK may be given as
y - 11 = -7/2(x - -3)
multiply through the equation by 2
2y - 22 = -7(x + 3)
2y - 22 = -7x - 21
7x + 2y = 22 - 21
7x + 2y = 1
Answer:
B
Step-by-step explanation:
7x + 2y = 1
help pls i beg youuu
Answers
Answer:
height = 10 m
Step-by-step explanation:
base area of rectangular pyramid =180 m^2
volume of rectangular pyramid = lwh/3
600 = 180*h/3
600*3 = 180*h
1800/180 =h
10 = h
Answer:
I think the answer to the question is 10
i will give brainliest.
Answers
Answer:
speed
Step-by-step explanation:
Each row of the table represents a cone with a height of
9 inches and a different radius.
Is there a linear relationship between the radius and the
volume of these cones?
Here are your answers from the previous screen.
Yes
No
Radius (in.)
Volume (cubic in.)
1
91
2
361
3
8171
Answers
Please help!! I'm in summer school and I can't fail
Answers
Answer and Step-by-step explanation:
The slope would be positive 1. (Third answer choice).
This is because, using the Rise over Run method of finding slope, we go 1 unit up and 1 unit to the right, showing that it is going in the positive direction (up and right) and has a slope of 1.
#teamtrees #PAW (Plant And Water)
The area of a rectangle is 80 ft2. If the rectangle is 8 feet long, what is its width?
Answers
Find the surface area.
1 m
10 m
Answers
Answer:
[tex]A=69.11\ m^2[/tex]
Step-by-step explanation:
Given that,
The radius of cylinder, r = 1m
Height of the cylinder, h = 10 m
We need to find the surface area of the cylinder. The total surface area of a cylinder is given by :
[tex]A=2\pi r^2+2\pi rh\\\\A=2\pi r(r+h)[/tex]
Put all the values,
[tex]A=2\pi \times 1(1+10)\\\\=69.11\ m^2[/tex]
So, the surface area of the cylinder is equal to [tex]69.11\ m^2[/tex].
what is 3x+8 + 4x+10
Answers
7x+18-answer
Step-by-step explanation:
3
+
8
+
4
+
1
0
3x+8+4x+10
3x+8+4x+10
Simplify
1
Add the numbers
3
+
8
+
4
+
1
0
3x+{\color{#c92786}{8}}+4x+{\color{#c92786}{10}}
3x+8+4x+10
3
+
1
8
+
4
3x+{\color{#c92786}{18}}+4x
3x+18+4x
2
Combine like terms
Answer:
[tex]\huge\boxed{Answer\hookleftarrow}[/tex]
[tex]3x + 8 + 4x + 10[/tex]
Bring the like terms together & add them.
[tex]3x + 8 + 4x + 10 \\ = 3x + 4x + 8 + 10 \\ = 7x + 18[/tex]
[tex]\underline{\textsf{\textbf{Answer = 7x + 18}}}[/tex]
____________________
ʰᵒᵖᵉ ⁱᵗ ʰᵉˡᵖˢ
╭═══════ღ❦ღ══╮
[tex]RainbowSalt2^{2}2^{2}[/tex]
╰══ღ❦ღ═══════╯
How many real solutions does the quadratic equation
have?
10x^2– 5x – 7 = 0
1. 2
2. 0
3. 1
4. 3
Answers
Answer:
Option 1: 2
Step-by-step explanation:
see the plotting (made with desmos)
note that 3 is impossible, because a quadratic equation can't have 3 real zeros
- 4x < 68
A. Solve by adding 4 to each side.
B. The solution is x>-17.
a or b will mark as brainliest
(ignore the last thing)
Answers
Answer:
B.x>-17
Step-by-step explanation:
1. Divide both sides by -4:
-4x/-4<68/-4
2.< will change to > since you are dividing by negative
3.your final answer will be x>-17
pleaseeeee helppp meee!!!
Answers
Answer: 32x-48 should be your answer
Step-by-step explanation:
Answer:
32x - 48Step-by-step explanation:
-4(-8x + 12)
= -4 × (-8x) + (-4) × 12
= 32x + (-48)
= 32x - 48 (Ans)
find the product (3n-4)(3n-4)
Answers
Answer:
9n-8 is the product
Answer:
Search Quickmath in Chrome and
all problem will solve... I hope it helps and trust me it works
Awnser this for brainliest.
Answers
Answer:
1 is the number that goes in the blank
Step-by-step explanation:
3(2x+1)
Distribute
3*2x+3*1
6x+3
Answer:
3*2x+3*1
6x+3
hope it help
(a) The diagram shows four angles around a point
1. Write down an equation in x and y
2. Simplify your equation
3.Find y when x=65°
Answers
Answer:
Step-by-step explanation:
The degrees around a point = 360, so
1. x + 95 + 3y + 80 = 360 so
2. x + 3y = 185
3. 65 + 3y = 185 and
3y = 120 so
y = 40
Answer:
y=40
Step-by-step explanation:
sum of all 3 angles : 240
3y+240=360
3y=360-240=120
y=3÷120
y=40
PLEASE HELP ME !! I BEG
Answers
Answer:
d yr welcome
Step-by-step explanation:
Option 'B' is the correct option:
[tex]\frac{3^{3} }{4^{2} }=\frac{3*3*3}{4*4} =\frac{27}{16}[/tex]
PLZ HELP DUE TODAY MARK BRAINLLEST AND GIVE 25 POINTS
Answers
Answer:
592 divided by 16=37
Answer:
592 divided by 16 is 37
3 boxes on top:
5 tens + 92 = 592
Step-by-step explanation:
:)
HELP HELP HELP HELP HELP
Answers
Answer:
C
Step-by-step explanation:
7x+ 11x=90
because the whole angle is
90 which makes it the answer Wich make the X a number we don't know what it is but know it helps make the exaction =90
Answer:
option c is correct
Step-by-step explanation:
7x + 11x =90 degree (being perpendicular)
18x=90
x=90/18
x=5
HELP pleaseee..!!!!!!!!!!!!!
Answers
Answer:
a) 9yd
b) 12ft
Step-by-step explanation:
a) find the square root
b) divide 48 by 4
Sarah uses 3/4 pound of blueberries to make 2/3 cup of jam. How many pounds of blueberries does she need to make one cup of jam
Answers
Answer:
1/12
Step-by-step explanation:
i belive this is the answer
Volume & surface! May I please have help
Answers
Answer:
D
Step-by-step explanation:
surface area of cylinder
=(area of base)×2 + (area of curved surface)
[tex]=(\frac{20}{2} )^{2} \pi[/tex]× 2 + [tex]20\pi[/tex] × 25
=2 × [tex]\pi[/tex] × [tex]10^{2}[/tex] + 2 × [tex]\pi[/tex] × 10 × 25
On Saturday, the fruit and juice bar was selling 20 glasses of fruit punch an hour. By 7 p.m., they had sold 180 glasses. If their goal was to sell more than 240 glasses of fruit punch, find the number of hours, h, they must stay open past 7 p.m. to make their goal.
Answers
======================================================
Explanation:
h = number of hours past 7 pm
20h = the number of glasses sold after h hours
20h+180 = adding on the 180 glasses already sold
20h+180 > 240 is the inequality to set up
Let's solve for h
------------------
20h+180 > 240
20h > 240-180
20h > 60
h > 60/20
h > 3
They must remain open more than 3 hours past 7 pm in order to sell more than 240 glasses of juice.
The earliest that they can close is 11 pm (since 4+7 = 11).
--------------------
If h = 3, then
20h+180 = 20*3 + 180 = 240
meaning that they haven't reached their goal of getting over 240
So they have to stay open that extra hour to get past 240.
What is the equation of a circle with center (7, 2) and radius 2?
Answers
Answer:
(x - 7)² + (y - 2)² = 4
Step-by-step explanation:
The equation of a circle in standard form is
(x - h)² + (y - k)² = r²
where (h, k) are the coordinates of the centre and r is the radius
Here (h, k ) = (7, 2 ) and r = 2 , then
(x - 7)² + (y - 2)² = 2² , that is
(x - 7)² + (y - 2)² = 4 ← equation of circle
(Trigonometry) The ladder leaning against a building makes an angle of 78° with the ground. The foot of the ladder is 5 feet from the building. How many feet long is the ladder? Round your answer to the nearest whole number. (Hint: DRAW A PICTURE)
Answers
10
feet away from the base of the wall. [Ans]
