Answers
Here, we will apply the concept of Vertically Opposite angle property and central angle property ;
So here, as b is vertically opposite to the angle whose measure is 20° . So , b will also be 20°
And, if we see the angle c, so angle vertically opposite to c will also be c, and as central angle is of 360° , so ;
[tex]{:\implies \quad \sf c+c+20^{\circ}+20^{\circ}=360^{\circ}}[/tex]
[tex]{:\implies \quad \sf 2c+40^{\circ}=360^{\circ}}[/tex]
[tex]{:\implies \quad \sf 2c=360^{\circ}-40^{\circ}}[/tex]
[tex]{:\implies \quad \sf 2c=320^{\circ}}[/tex]
[tex]{:\implies \quad \sf c=\dfrac{320^{\circ}}{2}=160^{\circ}}[/tex]
Hence, we can conclude that ;
[tex]{\bf{c=160^{\circ}}}[/tex] [tex]{\bf{b=20^{\circ}}}[/tex]Related Questions
Write your answer as an ordered pair (x,y)
Answers
See both lines are parallel
Means
Slopes are equal .If slopes are equal then x and y coefficients are equal.
So No solutions
A construction company makes cement stairs from a wooden mold. The construction company must calculate the volume of the mold to determine how much cement they need to create the stairs.
What is the volume of the wooden mold?
A.
7,000 in3
C.
6,000 in3
D.
9,000 in3
Answers
Considering the volume of a rectangular prism, it is found that the volume of the wooden mold is given by:
C. 6,000 in³
What is the volume of a rectangular prism?The volume of a rectangular prism of length l, width w and height h is given by:
[tex]V = lwh[/tex]
In this problem, the wooden mold is composed by two rectangular prisms:
The first has dimensions of 25 in, 10 in and 12 in.The second has dimensions of 20 in, 12 in and 12 in.Hence the volume in cubic inches is given by:
[tex]V = 25(10)(12) + 20(12)(12) = 5880[/tex]
Rounding, it is closest to 6000 in³, hence option C is correct.
More can be learned about the volume of a rectangular prism at https://brainly.com/question/17223528
What are the solutions to the equation below:
4x^x+1 = 5^-x
Answers
Answer:
I think it's E?
Step-by-step explanation:
hope this is right, if so then...
Pls, choose me as brainliest!
find the value of x
Answers
Answer:
x = 3
Step-by-step explanation:
When chords intersect inside a circle, the product of the lengths of the two segments of one chord equals the same product of the other chord.
10x = 5 × 6
10x = 30
x = 30/10
x = 3
PLEASE HELP QUICK! MARKING BRAINLYEST!
You want to find out the height of a tree, so you hold a square cardboard so that the edges line up with the top and bottom of the tree, as shown in the diagram below. Your friend measures the horizontal distance from you to the tree, and the vertical distance from the ground to your eye.
What is the height of the tree to the nearest tenth of a foot?
Answers
The height of the tree to the nearest tenth of foot is 20.5 ft
Right angle triangle:
A right angle triangle has one of its angles as 90 degrees. The sides can be found using Pythagoras theorem.
The side of the base triangle can be found using Pythagoras theorem.
c² = a² + b²
c² = 9.2² + 5.8²
c² = 84.64 + 33.64
c = 10.9 ft
using similar triangle ratio,
5.8 / 10.9 = 10.9 / x + 5.8
5.8x = 118.81 - 33.64
x = 85.17 / 5.8
x = 14.6844827586
x = 14.7 ft
The height of the tree to the nearest foot is 14.7 + 5.8 = 20.5 ft
learn more on right angle triangle here: brainly.com/question/26909069
Where are earthquakes generally more violent violent
(a) along a plate boundary where tension is released frequently or
(b)along a boundary where tension builds up over a greater period of time
Answers
Answer:
B
Step-by-step explanation:
Earthquakes are formed when a plate is stuck and it later releases (which creates the shaking). The more tension, the greater an earthquake is.
Hope this helps :)
Have a nice day
Can someone please explain system of equations to me?
I’m struggling
Answers
2x+5y=19
-2x+3y=2
You would subtract the two equations straight across to eliminate one of the variables (either x or y). Because -2 and 2 are opposites of each other, if you add them, they equal zero, which leads to you eliminating a variable! Then, you would add 5y+3y=8y and 19+2=21 and then do 8y=21 and you get your answer for y, which in this case is 21/8.
If you want to find the x value next, you would plug in your y value into the equation and solve for x! Example:
2x+5(21/8)=19!
Nicole deposits $600 into an account that pays simple interest at a rate of 3% per year. How much interest will she be paid in the first 5 years?
Answers
Answer:
Donna will be paid
$
80
as interest.
Explanation:
S
I
=
P
×
R
×
T
100
Applying the formula for simple interest we get:
S
I
=
800
×
2
×
5
100
S
I
=
8
00
×
2
×
5
1
00
S
I
=
8
×
2
×
5
S
I
=
80
Step-by-step explanation:
Answer:
$80
Step-by-step explanation:
Did this question in class before ;D
Question b keeps telling me I’m wrong
Answers
Answer:
negative 5
Step-by-step explanation:
1. Based on the graph and the
situation, which domain make sense
for function S?
a.) Domain: all numbers from 0 to 170.
b. Domain: whole numbers only from 0 to 60.
c. Domain: all numbers from 0 to 60.
d. Domain: whole numbers only from 0 to 170.
2. Based on the graph and the situation, which range make sense for function S?
a. Range: all numbers from 0 to 170.
b. Range: whole numbers only from 0 to 60
Range: whole numbers only from 0 to 170.ds word op die
d. Range: all numbers from 0 to 60.
Answers
Answer:
a.) Domain: all numbers from 0 to 170 and d. Range: all numbers from 0 to 60
Step-by-step explanation:
The domain is all of the numbers that the graph is on, over the x-axis. Looking at the x-axis, the graph only spans across 0-170, so the answer would be a.) Domain: all numbers from 0 to 170.
The range is all of the numbers that the graph is on, over the y-axis. Looking at the y-axis, the graph only spans across 0-60, so the answer would be d. Range: all numbers from 0 to 60.
Vanessa deposits $24,000 into each of two savings accounts. • Account I eams 2.4% interest compounded annually. • Account II eams 2.4% annual simple interest • There are no additional deposits or withdrawals. What is the sum of the balances of these accounts at the end of 5 years? I WILL GIVE BRAINLIEST JUST ANSWER ME WITH THE RIGHT ANSWER AND FAST/ASAP
A. $53,760.00
B.$53,901.59
C. $54,043.20
D. $56,640.00
Answers
Answer:
B
Step-by-step explanation:
I just took the test. Sorry for the late response.
Keiko will run less than 25 miles this week. So far, she has run 12 miles. What are the possible numbers of additional miles she will run?
Use t for the number of additional miles she will run. Write your answer as in inequality solved for t.
Answers
Answer:
Step-by-step explanation:
12 ≤ t ≤ 25
t ≤ 13 miles
Does anyone know how to do this?
Answers
Answer:
y = - 3x - 4
Step-by-step explanation:
the equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
y = 10 - 3x = - 3x + 10 ← is in slope- intercept form
with slope m = - 3
y = - 6x - 4 ← is in slope- intercept form
with y- intercept c = - 4
then equation of required line is
y = - 3x - 4
Hello!
The slope of the first line is -3.
The y-intercept of the second line is -4.
How did I identify the slope & y-intercept?
Let me share my "secret"
Well, both equations are written in slope-intercept form (y=mx+b)
where m = slope & b = y-intercept.
Now you know ;-)
Anyway, the new line should have the same slope as the first line (-3)
And the y-intercept of the second line is -4.
So the equation is
y=-3x-4
Hope everything's clear!
#KeepLearning
"Ready
Vicki sketches a right triangle with legs of lengths x and y and a hypotenuse of length z. She writes an equation that
relates x, y, and z. Then, she writes an expression for the length of the hypotenuse. Which expression does she write?
x² + y²
C
x? + 22
/xty
Answers
Answer:
sqrt(x^2+y^2)
Step-by-step explanation:
x^2+y^2=z^2 (Pythagorean theorem)
sqrt(x^2+y^2)=sqrt(z^2)
sqrt(x^2+y^2)=z
Write an equation you can use to find the value of x.
The perimeter of square: 30 mm
Each side of the square is x mm
Answers
Answer:
56.25
Step-by-step explanation:
7.5x7.5=56.25
If mZT = (2x + 85), m ZV = (5x + 29)", and
the sum of the measures of the angles is
930, find the measure of each angle.
Answers
Answer:
Solving for x;
2x + 85 + 5x + 29 = 930
combine like terms:
7x + 114 = 930
-114 -114
7x = 816
/7 /7
x = 116.57, now we replace the x with it's actual value:
∠ZT = 2(116.57) + 85 = 318.14°
∠ZV = 5(116.57) + 29 = 611.85°, lets double check if they both equal 930;
318.14 + 611.85 = 929.99, which is close to 930 so we are correct.
Find the surface area. HELP PLEASE!!!
Answers
answer:
219
Step-by-step explanation:
(base * height) + length (4 + 5 + 6)
24 + 13 (15)
219
During a record setting rainfall, 0.057 inch of rain fell every
minute for 35 minutes. How much rain fell in 10 minutes?
Answers
Answer:
0.57 inches
Step-by-step explanation:
To find the quantity, multiply the rate by the time.
(0.057 in/min) × (10 min) = 0.57 in
At the given rate, 0.57 inches fell in 10 minutes.
1
21 points
Define each sequence as Geometric (common ratio r), Arithmetic (common difference d), or Neither.
-25,-18,-11,-4
Answers
Answer:
Its an Arithmetic progression
Step-by-step explanation:
d1= -18-(-25)= 7
d2= -11-(-18)= 7
d1 = d2
r1 = -18/25=0.72
r2 = -11/-8= 0.611
r1 isnt = r2
Can the side lengths of 3, 10, and 13 form a triangle?- quoara
Answers
Answer:
No, it can not.
Step-by-step explanation:
For a triangle to exist. The two sides of length of every triangle added up must be greater than the other length.
Here,
13 + 3 > 10
13 + 10 > 3
but,
3 + 10 > 13 is false
so, the side lengths 3, 10, 13 can not form a triangle.
The population of Florida has increased, on average, at a rate of 8% per year since 1953. In 1993, the population of Florida was 13 million.
What was the population in 1953?
Answers
Answer: The human population in 1953 was 598 people.
Using the Pythagorean Identity find the cos(0) if the sin(0) =20/29 given that the terminal side is in the 2nd
quadrant. You must show all work.
Answers
The value of cosθ from the trigonometric identity is equal to -21/29
Data;
sin(0) = 20/29quadrant = 2nd quadrantPythagorean TheoremThis formula is used to find the missing side of a right angle triangle.
This is given as
[tex]hypothenuse^2 = adjacent^2 + opposite^2[/tex]
But in trigonometric ratio, the sine ratio is
[tex]sin \theta = \frac{opposite}{hypothenuse}[/tex]
This implies that
opposite = 20hypothenuse = 29adjacent = ?Let's find the adjacent using Pythagorean theorem
[tex]x^2 = y^2 + z^2\\29^2 = 20^2 + z^2 \\z^2 = 29^2 - 20^2\\z^2 = 441\\z = \sqrt{441} \\z= 21[/tex]
Now that we know the value of adjacent,
The value of cos(0) will be
[tex]cos \theta = \frac{adjacent}{hypothenuse} \\cos \theta =- \frac{21}{29}\\[/tex]
Note: The negative sign in front of the ratio indicates the fact that in the second quadrant, only sine theta is positive, the rest are negative.
The value of cosθ is equal to -21/29
Learn more on Pythagorean theorem here;
https://brainly.com/question/343682
what is 16 to the 16th power + 92 cubed?
Answers
Answer:
348
Step-by-step explanation:
16*16=256
256+92=348
I WILL GIVE 20 POINTS TO THOSE WHO ANSWER THIS MATH QUESTION RIGHT NOOOO SCAMS PLEASE AND PLEASE EXPLAIN WHY THAT IS THE ANSWER. To the nearest whole number what is the area of the regular hexagon?
______units squared
Answers
Answer: 42
Step-by-step explanation:
What is the height of a right circular cylinder that has a volume of 48 cubic centimeters and a radius of 2 centimeters
Answers
Answer:
the answer will be 3.82 . Hope this helped
Step-by-step explanation:
27 points please help me out which are equivalent
Answers
Answer:
a)
[tex]8(x + 5)[/tex]
b)
[tex]13y + 10[/tex]
Step-by-step explanation:
Hope it helps you<3Answer:
(a) 1st, 2nd
(b) 4th
Step-by-step explanation:
(a) Option 1: Expanding with the distributive property, we have
[tex]8(x+5)=8x+8\cdot 5\\~~~~~~~~~~~~=8x+40,[/tex]
which is equivalent.
Option 2: Multiplying the terms gives
[tex]8\cdot x+8\cdot 5= 8x+40[/tex],
which is equivalent.
Option 3: We don't know what x is, so there is no way to write [tex]48x[/tex] as [tex]8x+40[/tex]. This is not equivalent.
Option 4: Expanding with the distributive property gives
[tex]8(5x+1) = 8\cdot 5x+8\cdot1\\~~~~~~~~~~~~~=40x+8,[/tex]
which is not equivalent.
(b) First, we combine like terms in the given expression:
[tex]12+14y-2-y=12-2+14y-y\\~~~~~~~~~~~~~~~~~~~~~~~=10+(14-1)y\\~~~~~~~~~~~~~~~~~~~~~~~=10+13y.[/tex]
Looking at the given answer choices, only the fourth option is equivalent.
A triangle has sides with lengths of 60 miles, 75 miles, and 45 miles. Is it a right triangle?
Answers
Answer:
I don't think it is
Step-by-step explanation:
tell me if I'm wrong
Answer:
yes it is a right triangle
Step-by-step explanation:
tell me if im wrong
Jack splits 28 muffins among 4 baskets. He puts the same number of muffins in each basket.
How many muffins are in each basket?
Answers
Answer:
7
Step-by-step explanation:
28/4=7
Hope this helps! :)
Have a blessed day and good luck on your assignment
Please mark me as brainliest I really want to level up
So you know that there are 7 muffins in each basket.
Find the slope of the line that passes through A(0,−5) and B(3,−4) .
Answers
Answer:
1/3
Step-by-step explanation:
m=(y2-y1)/(x2-x1)
m=(-4-(-5))/(3-0)
m=(-4+5)/3
m=1/3
Please someone explain me how can I find that
Answers
Answer:
fu
Step-by-step explanation: