The side AC of the triangle is included between angles A and C.
What is an Included Side?An included side is a side that is in between two angles in a triangle, where the rays of the angles overlap.
Given is a triangle, we need to determine the angles which includes the side AC,
Since angle A and angle C forms side AC, AC is included between: A. ∠A and ∠C.
Thus, in triangle ABC, side AC lies in between angle A and angle C.
Therefore, since angle A and angle C forms side AC, AC is included between ∠A and ∠C.
Hence, the side AC of the triangle is included between angles A and C.
Learn more about included side on:
brainly.com/question/3168048
#SPJ5
Chris and Eric are competing on a game show. Together they answer 22 questions correctly. Chris’ score was 8 less than twice Eric’s score. How many did each of the guys answer correctly?
Answer:
eric = 15
chris 7
Step-by-step explanation:
Let the questions Chris answered correctly be represented by c
Let the questions Eric answered correctly be represented by e
They both got 22 questions right. This can be represented by this equation :
c + e = 22 --- eqn 1
Chris scored 8 less than Eric. This can be represented by this equation :
c = e - 8 --- eqn 2
Substitute for c in eqn 1
e - 8 + e = 22 .
collect like terms
2e = 30
solve for e
e = 15
Substitute for e in eqn 2
c = 15 - 8 = 7
Which measurement is closest to the volume of the triangular prism in cubic meters
Answer:
1632cm^2
Step-by-step explanation:
Volume=1/2x
Given》A=8 C=12 B=34
V=1/2 × 8 ×12 ×34
=1632 CM^2
hope it helps you
have a great day!!!
Simplify the following expression by combining like terms
4 + 5x + 2 =
Answer:
5x + 6
Step-by-step explanation:
4 + 2 is 6 and there is no other number with x so you leave the 5x alone
Carly made $10 in interest by placing $500 in a savings account with simple interest for 1 year. What was the interest rate?
Use the formula i = prt, where i is the interest earned, p is the principal (starting amount), r is the interest rate expressed as a decimal, and t is the time in years.
Answer:
2% or 0.02
Step-by-step explanation:
I=prt
10=500*x*1
10=500x
divide 500 by both sides
rate=0.02 or 2%
is sebastian or sasha right?
Answer:
Sebastian
Step-by-step explanation:
The surface area of a cylinder is equal to 2πrh+2πr²
have a great day :D
Please answer and thank you
Whenever he visits Belleville, Andrew has to drive 15 miles due north from home. Whenever he visits Fairfax, he has to drive 8 miles due east from home. How far apart are Belleville and Fairfax, measured in a straight line?
Answer:
17 miles away
Step-by-step explanation:
if you draw, you get a right angle triangle.
use pythagorean theorem
c² = a²+b²
c² = 15² + 8²
c² = 225 + 64
c= sqrt(289)
c = 17
Enter a letter.
Line is a transversal.
Answer:
c
Step-by-step explanation:
Answer:
Line c
Step-by-step explanation:
Transversal means an intersecting a system of lines. The only line that intersects the parallel lines is line c so that is the transversal line.
ј
m
4
3
12 9
20
15
Write an equation to describe the relationship
between j and m.
Answer:
Step-by-step explanation:
M = ¾J
If you look at the numbers M is always 3/4 of J so the equation is M = ¾J
HOPE IT HELPED YOUAnswer two questions about Equations A and B:
A. 5x = 3x
B. 5 = 3
1) How can we get Equation B from Equation A?
a) add/subtract the same quantity to/from both sides
b) add/subtract a quantity to/from only one side
c) multiply/divide both sides by the same non-zero constant
d) multiply/divide both sides by the same variable expression
2) Based in the previous answer, are the equations equivalent? In other words, do they have the same solution?
a) Yes
b) No
Answer: D multiply/divide both sides by the same variable expression , Then it’s B
Step-by-step explanation:
An equation is formed of two equal expressions. The correct options are D and A, respectively.
What is an equation?An equation is formed when two equal expressions are equated together with the help of an equal sign '='.
1.) We can get equation B from equation A, by dividing both sides of the equation by x.
5x = 3x
5x / x = 3x /x
5 = 3
Hence, We can get equation B from equation A, by multiplying/dividing both sides by the same variable expression. The correct option is D.
2.) For the previous equations, the two sides of the equation or the two expressions on both sides of the equation are not equal, because 5 is not equal to 3.
Although, the equation may become, true if the value of x is 0, otherwise it is not possible.
Hence, the correct option is A.
Learn more about Equation here:
https://brainly.com/question/14686792
#SPJ2
CORRECT ANSWER GETS BRAINLIESST
A 160z bottle of orange juice says it contains 200mg of Vitamin C. This is
250% of the daily recommended allowance of vitamin C.
fill in the blank
1. 100% of vitamin C is ___ mg
2. ___ mg is 50% of the daily recommended value
3. 120mg is ___ % of the daily recommended value
4. 200 percent of vitamin C is ___ mg
5. 200mg will provide ___ percent of Vitamin C
Answer:
1. 80
2. 40
3. 96
4. 160
5. 250 percent of daily recommended vitamin C
Step-by-step explanation:
What is 21.8 rounded to the nearest tenth
Answer:
its already rounded to nearest tenth
A city bus collected $1,140 in fares on a given day. The regular fare is $1.50, and the reduced fare is $0.75. If 1,042 total fares were paid, which system of linear equations can be used to find x, the number of regular fares paid, and y, the number of reduced fares paid?
Answer:
x + y = 1042
1.50x + 0.75y = 1140
Step-by-step explanation:
If there was a total of 1,042 fares paid then x + y would be equal to that because x is the number of regular fares paid and y is the number of reduced fares paid.
If there was a total of $1,140 made from the fares then we can use 1.50x + 0.75y. We put the 1.5 in front of the x because each fare paid costs $1.50, same with Y each reduced fare paid is $0.75. So both of those need to be added up to get $1,140.
Frank weighs 105 pounds and is gaining 3 pounds a week for wrestling season. James weighs 175 pounds and is losing 2 pounds a week for wrestling season. When will the wrestlers weigh the same? How much will they each weigh?
a. Define your variables and write an equation for each wrestler.
Let =
Let =
Frank:
James:
b. Frank and James will both weigh
pounds in
weeks.
Answer:
Step-by-step explanation:
PLEASE HELP WILL GIVE THANKS OR BRAINLIEST!!!
Answer:
y = -1/2x + 1
Step-by-step explanation:
question tells you the y-intercept which equals 1
you can find the slope by subtracting 2 and 0, over the difference of -1 and 3
m = -2/4 or -1/2
Once you have slope and y-intercept, you have enough info to write the equation
a) .25
b) .30
c) .45
d) .50
Answer:
0.45
Step-by-step explanation:
Since the percent to pull a ball with a 2 is 30% and the percent to pull a ball with a 4 is 15%, that means that the chance of pulling a ball with an even number is 0.45, or 45%. (0.30+0.15=0.45)
Select the correct answer.
The four folded parts of an envelope are opened up to create this figure. What is the surface area of one side of the unfolded envelope?
Answer:
C 50 square centimeters
Step-by-step explanation:
in this question the answer is C) 50
Solve the equation, Write one solution, No solution, Infinitely Many Solution
4. 8x + 10 = 8x - 7
Answer:
x=5.3125
One solution
Answer:
[tex]no \: solution[/tex]
Step-by-step explanation:
1) Cancle 8x on both sides.
[tex]10 = - 7[/tex]
2) Simplify 10 = -7 is false, there's no solution.
[tex]no \: solution[/tex]
Therefor, the answer is Option B) No solution.
100 POINTS! I WILL GIVE BRAINLIEST! SHOW ALL WORK PLEASE!
Factor each polynomial:
1] 12x^2 - 26x + 12
2] 18x^2 + 51x + 15
3] 16x^2 - 36x - 10
4] 16x^2 + 64x +28
5] 30x^2 - 65x - 25
6] 18x^2 - 33x - 21
7] 45x^2 - 3x - 18
8] 28x^2 - 78x + 20
9] 28x^2 - 54x + 18
10] 40x^2 - 68x - 44
11] 5x^2 + 50x - 120
12] x^2 - 9x + 8
13} The equation, x(x + 5) = 36, is equal to:
14} Expand 2(x+9)(x-4)
15} Solve (x-2)(x-3) = 2
PLEASE SHOW ALL WORK AND EXPLANATIONS! THANK YOU!
Answer:
1. 2(3x−2)(2x−3)
2. 3(3x+1)(2x+5)
3. 2(4x+1)(2x−5)
4. 4(2x+1)(2x+7)
5. 5(3x+1)(2x−5)
6. 3(3x−7)(2x+1)
7. 3(5x+3)(3x−2)
8. 2(7x−2)(2x−5)
9. 2(7x−3)(2x−3)
10. 4(5x−11)(2x+1)
11. 5(x−2)(x+12)
12. (x−1)(x−8)
15. x=1 or x=4
Step-by-step explanation:
1. Factor 12x2−26x+12
12x2−26x+12
=2(3x−2)(2x−3)
2. 3(3x+1)(2x+5)
3. Factor 16x2−36x−10
16x2−36x−10
=2(4x+1)(2x−5)
4. Factor 16x2+64x+28
16x2+64x+28
=4(2x+1)(2x+7)
5. Factor 30x2−65x−25
30x2−65x−25
=5(3x+1)(2x−5)
6. Factor 18x2−33x−21
18x2−33x−21
=3(3x−7)(2x+1)
7. Factor 45x2−3x−18
45x2−3x−18
=3(5x+3)(3x−2)
8. Factor 28x2−78x+20
28x2−78x+20
=2(7x−2)(2x−5)
9. Factor 28x2−54x+18
28x2−54x+18
=2(7x−3)(2x−3)
10. Factor 40x2−68x−44
40x2−68x−44
=4(5x−11)(2x+1)
11. Factor 5x2+50x−120
5x2+50x−120
=5(x−2)(x+12)
12. Let's factor x2−9x+8
x2−9x+8
The middle number is -9 and the last number is 8.
Factoring means we want something like
(x+_)(x+_)
Which numbers go in the blanks?
We need two numbers that...
Add together to get -9
Multiply together to get 8
Can you think of the two numbers?
Try -1 and -8:
-1+-8 = -9
-1*-8 = 8
Fill in the blanks in
(x+_)(x+_)
with -1 and -8 to get...
(x-1)(x-8)
15. Let's solve your equation step-by-step.
(x−2)(x−3)=2
Step 1: Simplify both sides of the equation.
x2−5x+6=2
Step 2: Subtract 2 from both sides.
x2−5x+6−2=2−2
x2−5x+4=0
Step 3: Factor left side of equation.
(x−1)(x−4)=0
Step 4: Set factors equal to 0.
x−1=0 or x−4=0
x=1 or x=4
Sorry I wasn't able to do 13 and 14 but hope this helps! :)
Factor y =`x^{2}\ +\ 3x\ -\ 10`
Write each in point-slope form
Answer:
Step-by-step explanation:
point slope is (y-y1 = m (x-x 1)
it would be: y- 5= 2 (x- 3)
i think, i'm pretty sure
CAN someone PLZ help !?
no entiendo hingles......pero puedo puedo tener esos 5 puntos
A rhombus with four 90° angles can also be called _____.
a. square
b. trapezoid
c. heptagon
d. rectangle
Answer:
square is the answer...
HELP I will give. Brainliest
Answer:
Almost 8 times greater
Step-by-step explanation:
113.1 is the original volume if you double both dimensions the new volume is 904.78
A baker has 18 boxes for donuts he ended up making 763 donut and splitting them evenly between the boxes how many extra do nuts did he end up with
Answer:
you can get 18 and add it to something
Help with this please
Need help ASAP! It’s #15 pls and thx
13.27= t - 24.45 show your work
The low temperature for the morning is -3.9°F. If the temperature rises to 24°F in the afternoon, what is the change in temperature?
Answer:20.1 will be the temp
Step-by-step explanation:
All you do is add -3.9 and 24 together to get your answer
answer both for ( brain list, thanks, 5 star review)