a side of the triangle below has been extended to form a exterior angle of 113 degrees find the value of x
Answers
Answer:
x = 23°
Step-by-step explanation:
x + 67° + 90 = 180°
x + 157° = 180°
x = 23°
Applying the exterior angle theorem, the value of x in the diagram given is: x = 23.
Given:
Exterior angle = 113 degreesTwo interior angles opposite to the exterior angle are: x and 90 degrees respectively.Based on the exterior angle theorem of a triangle, we will have the following:
x + 90 = 113 (exterior angle theorem)
Subtract 90 from each sidex + 90 - 90 = 113 - 90
x = 23
Thus, applying the exterior angle theorem, the value of x in the diagram given is: x = 23.
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Related Questions
−2x+y=0, −7x+3y=2 adding
Answers
Answer:
X= -2, y=-4
Step-by-step explanation:
hard to explain it
Find the volume of a pyramid with a square base, where the perimeter of the base is
17 cm and the height of the pyramid is 15 cm. Round your answer to the nearest
tenth of a cubic centimeter.
Answers
Answer:
90.3125 cm³
Step-by-step explanation:
Since the perimeter of the bottom square is 17, you can divide by four to find out what the lenght of each side is.
17/4=4.25 cm
We know the height of pyramid is 15 cm
The formula for the volume of a square pyramid is
V=a²(h/3)
V=a2(h/3)=4.252·15/3=90.3125 cm³
3
Natalie bought 3/4 pound flour for baking. She used 2/3 of the flour to make cookies. How many pounds of flour did she use?
Answers
Answer:
it blurry
Step-by-step explanation:
Write the word sentence as an equation.
The sum of a number x and 4 equals 12.
An equation that represents this sentence is
Answers
Answer: x+4 = 12
Step-by-step explanation:
if you wanted to solve X=8
Your friend Mel says he has an easier way to solve this problem. Here are the first steps in his method.
First, isolate all of the x-terms on the left side. This leaves a constant on the right that isn't equal to 0.
Factor the GCF out of the terms on the left side.
If there's a whole-number factor on the left side, divide both sides by that number. Notice that after you do this, one factor on the left is just x.
Apply Mel's steps to your equation in question 1. (5 points)
The original equation is 2x^2 +6x+4=24 ft.^2
Answers
Simplifying
2x2 + 6x + 4 = 24
Reorder the terms:
4 + 6x + 2x2 = 24
Solving
4 + 6x + 2x2 = 24
Solving for variable 'x'.
Reorder the terms:
4 + -24 + 6x + 2x2 = 24 + -24
Combine like terms: 4 + -24 = -20
-20 + 6x + 2x2 = 24 + -24
Combine like terms: 24 + -24 = 0
-20 + 6x + 2x2 = 0
Factor out the Greatest Common Factor (GCF), '2'.
2(-10 + 3x + x2) = 0
Factor a trinomial.
2((-5 + -1x)(2 + -1x)) = 0
Ignore the factor 2.
Subproblem 1
Set the factor '(-5 + -1x)' equal to zero and attempt to solve:
Simplifying
-5 + -1x = 0
Solving
-5 + -1x = 0
Move all terms containing x to the left, all other terms to the right.
Add '5' to each side of the equation.
-5 + 5 + -1x = 0 + 5
Combine like terms: -5 + 5 = 0
0 + -1x = 0 + 5
-1x = 0 + 5
Combine like terms: 0 + 5 = 5
-1x = 5
Divide each side by '-1'.
x = -5
Simplifying
x = -5
Answer:
Set the factor '(-5 + -1x)' equal to zero and attempt to solve:
-5 + -1x = 0
-5 + -1x = 0
Move all terms containing x to the left, all other terms to the right.
-5 + 5 + -1x = 0 + 5
Combine like terms: -5 + 5 = 0
0 + -1x = 0 + 5
-1x = 0 + 5
Combine like terms: 0 + 5 = 5
-1x = 5
x = -5
Step-by-step explanation:
the distance an asteroid travel is directly proportional to the amount of time it travels if an asteroid travels 112,000 miles in 2 hours how far will it travel in 24 hours
Answers
Answer:
1,344,000
Step-by-step explanation:
since 2 hours have gone by divide 112,000 by 2 you will get 56,000 meaning the asteroid is going 56,000 Miles Per Hour now Multiply 56,000(MPH) by 24 (Hours)
You're Answer: 1,344,000
Please answer 1-5.ASAP.
Answers
Answer:
Step-by-step explanation:
1) Function: y = 5x - 2
2) Slope: 1/2 Y-Int: 4
3) Function: y = 6
4) Slope: -4 Y-Int: 1
5) Function: y = -2x/3
Answer:
Step-by-step explanation:
(1). y = 5x - 2
(2). m = [tex]\frac{1}{2}[/tex] , b = 4
(3). y = 6
(4). m = - 4 , b = 1
(5). y = - [tex]\frac{2}{3}[/tex] x
What is 3(4r-2)+8x+ 18 equal
Answers
Answer:
12r+8x+12
Step-by-step explanation:
3(4r-2)+8x+18
12r-6+8x+18
12r+8x-6+18
12r+8x+12
What is x equal to in this problem?
Answers
Answer: x = 6
Step-by-step explanation:
All angles in a triangle = 180*
9x - 11 + 80 + 57 = 180
9x + 137 = 180
9x = 54
x = 6
Plug in to see if its correct
9 (6) - 11 + 80 + 57 = 180
54 + 126 = 180
180 = 180
Write the equation of a circle that has a diameter of 12 units if its center is at (4,7).
PLZ HELP ASAP! I will give you BRAINLIEST
Answers
9514 1404 393
Answer:
(x -4)^2 +(y -7)^2 = 36
Step-by-step explanation:
The equation of a circle with radius r and center at (h, k) is ...
(x -h)^2 +(y -k)^2 = r^2
When the diameter is 12, the radius is 6 (half the diameter). Then for your center point, the equation is ...
(x -4)^2 +(y -7)^2 = 36
please help giving BRAINLYEST and TONS of points. Put them in order
Answers
Answer:
3rd first then keep them in thier order
Step-by-step explanation:
Here are the values because you did not say largest to smallest or smallest to largest but whatever you get the values and put them in order.
The first equation is [tex]\frac{10\pi \sqrt{2} -8\pi \sqrt{2} }{2\sqrt{2} }=\pi[/tex]
Shocking the first one is 3.1415.
The second one is [tex]\frac{\sqrt{24} -\sqrt{54} }{\sqrt{6} } =1[/tex]
So the order isThe third one is [tex]\pi \sqrt{\frac{3}{5} } *\pi \sqrt{\frac{5}{3} } =\pi ^{2}[/tex]
The last one is [tex]\sqrt{\frac{9}{20} } *\frac{10\sqrt{2} }{9\sqrt{5} } =\frac{\sqrt{2} }{3}[/tex]
1))Evaluate the expression for d = 3.
4d + 6 =
Answers
Answer:
18
Step-by-step explanation:
4d+6=
you substitute 3 for d
4(3)+6=
12+6=
18
Answer:
4 x 3 + 6 = 18
Step-by-step explanation:
4 x 3 = 12
12 + 6 = 18
ITS A ANGLE QUESTON PLS HELP
Answers
This is a right angles triangle
(6x6)/2
18
Hope this helps :>From CambridgePlease give brainliestAnswer:
18 cm²
Step-by-step explanation:
The area (A) of a triangle is calculated as
A = [tex]\frac{1}{2}[/tex] bh ( b is the base and h the perpendicular height )
Here b = 6 and h = 6 , then
A = [tex]\frac{1}{2}[/tex] × 6 × 6 = 3 × 6 = 18 cm²
tom and Tamir applied to the same university. They looked up the average SAT score of students admitted to that university. Tom’s SAT score was 260 points above the average score. Tamir’s SAT score was 20 points below the average score. Which expression represents the difference in their scores? -❘260 - 20❘ ❘-20 - 260❘ ❘260 - 20❘ -❘260❘ - ❘20❘
Answers
Answer:
|260 -20|
Step-by-step explanation:
The difference between their scores is 240 which is always positive +
CAN AN EXPERT< ACE< MODERATOR OR GENIUS HELPP ME WITT THIS PLSSSSSSSSSSSSSS!!!!!!!!!!!!!!!!!!!!!!!!
Answers
Answer:
(a+b)(a^2+ab+b^2)
Step-by-step explanation:
use difference of cubs a^3-b^3=(a-b)(a^2+ab+b^2)
(a-b)(a^2+(a)(b)+b^2)
remove parentheses
(a-b)(a^2+ab+b^2)
Answer: a³- b³=(a - b) × (a²+ab+b²)
Step-by-step explanation: This should be the sum/difference of cubes formula. The polynomial in the form a³ + b³ is the sum of cubes. But if it's a³ - b³, it will be the difference of cubes.
Let me know if you have any questions.
~ Lily, from Brainly.
Jordan has more than 25 coins in his collection
which inequality shows the number of coins in jordens collection
Answers
Step-by-step explanation:
Given
Jordan has more than 25 coins in his collection.
So the inequality which shows the number of coins in Jordan's collection is
C x > 25
Hope it will help :)❤
Is -6 a solution for the equation 3(2x - 8)= -4(-6 +21)?
Answers
Answer:
YeS, it is a solution
Step-by-step explanation:
Here, we want to check if -6 is a solution to the question
What we have to do is to replace x by -6
If what we have on the left equals that on the right, then -6 is a solution
Thus, we have it that;
3(2(-6) -8)
= 3(-12-8)
= 3(-20) = -60
for the right hand side
-4 (15) = -60
This means both sides are equal and that -6 is a solution
Wayne is hanging a string of lights 45 feet long around the three sides of his patio, which is adjacent to his house. The length of his patio, the side along the house, is five feet longer than twice its width. Find the length and width of the patio.
Answers
Answer:
The length and width of the patio are 18¹/₃ feet and 6²/₃ feet respectively.
Step-by-step explanation:
Let L and W be the length and width of the patio respectively. Since the patio is a rectangle, its perimeter, P = 2(L + W). This perimeter equals the length of string of lights which is 45 ft.
Now, the length of his patio, the side along the house, is five feet longer than twice its width implies that L = 2W + 5.
Substituting L into P, we have
P = 2(L + W)
= 2(2W + 5 + W)
= 2(3W + 5)
= 6W + 5
Since P = 45 feet,
6W + 5 = 45
6W = 45 - 5
6W = 40
W = 40/6
W = 20/3 feet
W = 6²/₃ feet
Since L = 2W + 5, substituting W = 20/3 into L, we have
L = 2W + 5
= 2(20/3) + 5
= 40/3 + 5
taking the L.C.M, we have
= (40 + 15)/3
= 55/3 feet
= 18¹/₃ feet
So, the length and width of the patio are 18¹/₃ feet and 6²/₃ feet respectively.
Evaluate x-(-11) for x = 14.
Answers
Step-by-step explanation:
x-(-11)
= x+11
= 14+11
= 25
does anyone know how to solve for the range?
Answers
Answer:
{-3,0,2,5}
Step-by-step explanation:
range consists of all y-values from each ordered pair in the relation shown
The price of gold is often reported per ounce. At the end of 2005, this price was $520. At the end of 2020, it was $1,775. By what percentage did the price per ounce of gold increase? (rounded to the nearest hundredth of a percent followed by a percent symbol)
Answers
Answer: 66% I think.
Step-by-step explanation: 550 is way less that 1.000
12. The base angles of an isosceles triangle are represented by (5x + 10) and 50°. Find x.
Answers
Answer:
x = 8
Step-by-step explanation:
Base angles of isoceles triangle are equal
5x + 10 = 50
5x = 40
x = 8
work out 23% of 42 give your answer correct to one decimal point
Answers
Answer:
the answer is 9.66 probably
Step-by-step explanation:
Answer:
the answer is 9.66 but after you correct to one decimal point it will be 9.7
Franky and Francesca applied to the same college. They looked up the average SAT score of students admitted to that college. Franky’s SAT score was 140 points above the average score. Francesca’s SAT score was 40 points below the average score. Which expression represents the difference in their scores?
❘-40 - 140❘
-❘140❘ - ❘40❘
-❘140❘ + ❘-40❘
❘140 - 40❘
Answers
Answer:
❘-40 - 140❘
Step-by-step explanation:
Given that,
Franky’s SAT score was 140 points above the average score.
Francesca’s SAT score was 40 points below the average score.
We need to find the expression that represents the difference in their scores. It can be calculated as follows :
d = ❘-40 - 140❘
= -180
Hence, the correct option is (A) "❘-40 - 140❘".
The graph of f(x) = 1/x has been transformed to create the graph of g(x) = a/x
What is the value of a?
2
-3
3
-2
Answers
Answer:
2/x
Step-by-step explanation:
The easy way:
take point (2,1) on graph g
subst the values into g(x)=a/x
1=a/2
a=2
thus -> 2/x
The value of a is 2 for the transformed function g(x) = a/x.
What is a graph?
A graph is the representation of the data on the vertical and horizontal coordinates so we can see the trend of the data.
The value of a is calculated as,
Take point (2,1) on graph g and substitute the values into g(x)=a/x
1=a/2
a=2
Therefore, the value of a is 2 for the transformed function g(x) = a/x.
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Write the equation of the line parallel to y = 0 which passes through (-2, 4).
Answers
Answer:
y = 4
Step-by-step explanation:
Example :
3X+4 X=2
3(2)+4
6+4
10
1. 2X-5 X= 7
2. X2 - 15 X= 5
3. X/9 +6 X = 81
4. 8X -4. X = 13
Answers
Answer:
1) 9
2) -5
3) 15
4) 100
those are the answers
9514 1404 393
Answer:
91015100Step-by-step explanation:
As in the example, put the value where the variable is and do the arithmetic.
1. 2·7 -5 = 9
2. 5^2 -15 = 10
3. 81/9 +6 = 15
4. 8·13 -4 = 100
Your calculator can do the math.
Expand the expression 3(x - 5)
Answers
Answer:
3×-15=0
3×=0+15=15
Divide by 3
3×=15
×=5
Help ASAP. This is vital to my math grade. I will award 100 points and Brainly to whoever can give me the correct slope. I need this question correct in order to pass my math class. This is for a dual enrollment class. This is timed
Answers
Answer:
-2/2
Step-by-step explanation:
I think the slope is -2/2 I hope I got this right, sorry if I got it wrong. Anyway, you solve this by plotting your two points, then doing rise over run (down 2 and over to the right).
Your welcome :D.
Answer:
Slope: -1
Step-by-step explanation:
( 3, -6) and (5, -8)
m= (y2-y1)/(x2-x1)
m = ( -8 + 6)/ (5-3)
m = (-2)/2
m = -1
Solve for each variable x & y.
Answers
Answer:
x=4 and y=7. did this help