Step-by-step explanation:
Since ABC is a triangle,
Angle A + Angle B + Angle C = 180 (Sum of angles in a triangle)
given Angle A = 3x + 1
Angle B = 4x - 17
Angle C = 5x - 20
[tex]3x + 1 + (4x - 17) + (5x - 20) = 180 \\ 3x + 4x + 5x + 1 - 17 - 20 = 180 \\ 12x - 36 = 180 \\ 12x = 180 + 36 \\ 12x = 216 \\ x = 216 \div 12 \\ = 18[/tex]
Now substitute x into all 3 angles.
A = 3(18) + 1 = 54 + 1 = 55 degrees
B = 4(18) - 17 = 72 - 17 = 55 degrees
C = 5(18) - 20 = 90 - 20 = 70 degrees
Since Angle A = Angle B but not equal to Angle C,
Triangle ABC is a isosceles triangle as 2 angles must be the same for it to be a isosceles triangle.
Answer:
it is C
Step-by-step explanation:
Mr. Frederick teaches 4 math classes. Which class period has the most students? Use the bar graph to answer the question.
Answer:
The class in the second and longest bar graph (the one labeled 3) has the most students.
Step-by-step explanation:
When looking for the largest amount of something in bar graphs, the largest bar graph is correct. In this case the second bar graph is the longest, and we can see it indicates the class contains 28 students.
Find the equation the line with the given information below:
slope = 3, y-intercept = (0, 2).
Answer:
y=3x+2
Step-by-step explanation:
y=mx+b
b=2
m=3
plug in
y=3x+2
Move point C and observe how the
angle measures change.
When AC changes,
m_ABC and mŁADC
vand are
to each other.
Answer:
[tex]\angle ABC[/tex] and [tex]\angle ADC[/tex] will change
[tex]\angle ABC[/tex] equal [tex]\angle ADC[/tex]
Step-by-step explanation:
Given
See attachment for complete question
Required
What happens when AC changes
(a) [tex]\angle ABC[/tex] and [tex]\angle ADC[/tex] are formed from points A and C. So, a change in AC will result to a change in the measures of [tex]\angle ABC[/tex] and [tex]\angle ADC[/tex].
(b) [tex]\angle ABC[/tex] and [tex]\angle ADC[/tex] are in the same segment, meaning that they will always have the same measure
Does the point (0, 1) satisfy the equation y = 4x?
yes or no?
Answer:
No.
Step-by-step explanation:
Here i put it in a graph for you to see.
Hello!
What's Eri's teddys name?
Answer:
Werid I don’t know
Step-by-step explanation:
Find 8.76 - 10.91. Write your answer as a decimal.
Answer:
-2.15
Step-by-step explanation:
Plug it into the calculator and it should give you the same answer.
Answer:
The answer is -2.15.
Step-by-step explanation:
Hope this helped Mark BRAINLIEST!!!
Help please I’m a little confused
Answer:
answer is a . x²-8x+16=32
x²-8x=32-16
Select the correct answer.
What is the domain of the function shown on the graph?
A. -∞ < x < ∞
B. x ≤ 2
C. x ≤ 1
D. -10 < x < 2
Option B is correct, x ≤ 2 is the domain of the function shown on the graph.
What is a function?A relation is a function if it has only One y-value for each x-value.
We have to find the domain of the given graph.
Graph is a mathematical representation of a network and it describes the relationship between lines and points.
The domain refers to the set of possible input values, the domain of a graph consists of all the input values shown on the x-axis.
The graph has x values less than or equal to two.
x ≤ 2 is the domain of the given function.
Hence, option B is correct, x ≤ 2 is the domain of the function shown on the graph.
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Slove the system of linear equations by graphing y=-x+7 y=x-1
Answer:
no
Step-by-step explanation:
DELL 5+5
what's a girl Raymond
U is the set of integers. G is the set of negative integers. What is the complement of set G in universive U?
Pls help fast
Answer:
Wouldn't the answer be C) Positive Integers?
Step-by-step explanation: Because the complement of a set include all of the elements not included in the indicated set. I hope I'm making some sense. :)
Oatmeal is packaged in a right circular cylindrical container that has a radius of 7 centimeters and a height of 16 centimeters.
What is the surface area of this container in terms of pi?
a. 176
b. 254
c. 322
d. 440
Answer:
c. 322
Step-by-step explanation:
Surface area of cylinder = 2πr² + 2πrh.
SA in terms of π = π(2r² + 2rh) →
π(2(7)² + 2(7)(16)) →
π(2(49) + 2(112)) → π(98 + 224) → π(322)
Hello um I need help if anyone could help me with this that would be perfect:))!!
Answer:
1. If D= whole numbers then the answer is B.0 if it is integers the answer is A.-10
2. The answer is D. That number is an irrational number.
Step-by-step explanation:
Im pretty sure that #1 is B.0, but since there are no labels and i haven't done this in a while, I wasn't quite sure. Sorry.
what is the slope and y intercept of -5x+3y=-9
Answer:
slope = 5/3
y-intercept = (0,-3)
Step-by-step explanation:
Make the equation in slope-intercept form:
-5x+3y=-9
add 5x on both sides
3y=5x-9
divide by 3 on both sides
y=5/3x-3
slope = 5/3
y-intercept = (0,-3)
What’s 1/5 divided by 1/12?
help with this please lol
Answer:
x = 107
Step-by-step explanation:
44+29+107=180
a triangle equals 180 with all the degrees added together :)
William is building a planetary path for people to walk through the planetary path will have a model of the sun and model of the planet William uses two different scales He uses 1 cm to 1000 km for the diameter of each planet and 1m to 1000000km for the distance of the sun to each planet William makes a model of planet Venus the model has a diameter of 12.1 work out the real diameter of venus
Answer:
The actual diameter of Venus is 12,100 kilometers.
Step-by-step explanation:
Since William is building a planetary path for people to walk through, and the planetary path will have a model of the sun and model of the planet, and William uses two different scales, he uses 1 cm to 1000 km for the diameter of each planet and 1m to 1000000km for the distance of the sun to each planet, if William makes a model of planet Venus and the model has a diameter of 12.1, to work out the real diameter of Venus the following calculation must be performed:
1 cm = 1000 km
12.1 cm = X km
1 = 1000
12.1 = X
12.1 x 1000/1 = X
12,100 = X
Thus, the actual diameter of Venus is 12,100 kilometers.
Two sides of a right triangle have lengths of 46 centimeters and 23 centimeters. The third side is not the hypotenuse. How long is the third side? Round your answer to the nearest centimeter.
Answer:
about 40 cm.
Step-by-step explanation:
I know the length of the third side is 40cm because I used the Pythagorean theorem.
a^2+b^2=c^2 The "a" and "b" values are the lengths of the legs of the triangle, while "c" is the length of the hypotenuse. We know the third side of this triangle is not the hypotenuse.
* The longest side of a right triangle is the hypotenuse, so we know the length of the hypotenuse is 46cm.
Therefore, we plug our values into the Pythagorean theorem.
23^2+b^2=46^2
529+b^2=2116
Next, we subtract 529 on both sides.
b^2=1587
Next, find the square root of 1587, so we can find the true value of b.
b=39.8371685741
Rounded to the nearest centimeter is 40.
In conclusion, the length of the third side is 40cm.
When solving the equation x/5 - 12 = 10, what is your last step?
A. Multiply by 5 on each side.
B. Add 12 to each side.
C. Divide by 5 on each side.
D. Subtract 12 from each side.
+10 points!
Answer:
c
Step-by-step explanation:
-0.5f - 5 < -1
help please asap!!
Step-by-step explanation:
-.5f -5 < -1
-.5f < 4
f > -8
hope this helps
1. In which number does the 6 have a value that is one-tenth the value of the 6 In 34,7612
A 16,305
B. 28,695
C. 51,364
D. 78,426
Answer:
ok
Step-by-step explanation:
Solve the inequality.
- 5x > 25
Answer and Step-by-step explanation:
Divide -5 from both sides of the inequality.
x < -5 is the answer.
Here's Why:
If you were to add 5x to both sides, it results in this:
0 > 25 + 5x
Now, we subtract 25 from both sides.
-25 > 5x
When we divide 5 from both sides, we see that it results in -5 > x, which is the same as x < -5.
#teamtrees #PAW (Plant And Water)
What is the value of y when
IN
The value of y varies directly with x. When y = 75, x =
x is 2
A 84
B 337
С
- 162
D 168
4
В.
Answer:
I think that the answer is B , 337/5 i mean .
Good luck ^^
Help Me Please Quick Will Mark Brainliest if correct : - )
Answer:
y=2x+3
Step-by-step explanation:
Lets verify
[tex]\\ \sf\longmapsto -1=2(-2)+3=-4+3=-1[/tex]
[tex]\\ \sf\longmapsto 1=2(-1)+3=-2+4=1[/tex]
Hence verified
Answer:
C): y = 2x + 3
Step-by-step explanation:
• when x is -2:
[tex]{ \tt{y = 2(- 2) + 3}} \\ { \tt{y = - 1}}[/tex]
• when x is -1:
[tex]{ \tt{y = 2( - 1) + 3}} \\ { \tt{y = 1}}[/tex]
• since y holds for -2 and -1, it'll hold for other positive integers.
Brainlest for correct awnser :D
Answer:
24 inches
Step-by-step explanation:
Find the 82nd term of the following sequence.
-32, -27, -22, ....
Yoko received a $90 gift card for a coffee store. She used it in buying some coffee that cost $8.23 per pound. After buying the coffee, she had $40.62 left on her card. How many pounds of coffee did she buy?
Answer: 6
Step-by-step explanation:
Step 1: Set up equation:
90=40.62+8.23p
^ the 'p' represents pounds.
Step 2: Subtract 40.62 from both sides
49.38 = 8.23p
Step 3: Divide both sides by 8.23 (We do this to get the variable "p" by itself)
6=p
Trust Milky. Milky Smart
The Spirit Team will be selling popcorn as a fundraiser at the next basketball game to earn funds to go to Orlando for a competition. If they need the volume of the popcorn container to be under 220 cubic inches per serving, select all of the following dimensions of a cylinder they could use.
3 inch radius and 4 inch height
4 inch radius and 4 inch height
9 inch radius and 9 inch height
4 inch diameter and 9 inch height
6 inch diameter and 9 inch height
9 inch diameter and 4 inch height
Answer:A and b
Step-by-step explanation:
The dimensions of cylinders that have a volume under 220 cubic inches per serving are:
3-inch radius and 4-inch height
4-inch diameter and 4-inch height
4-inch diameter and 9-inch height
Volume is defined as the mass of the object per unit density while for geometry it is calculated as profile area multiplied by the length at which that profile is extruded.
Here,
We can use the formula V = πr²h to find the volume of each cylinder.
For a cylinder with a 3-inch radius and 4-inch height:
V = π(3)²(4) ≈ 113.1 cubic inches
For a cylinder with a 4-inch radius and 4-inch height:
V = π(4)²(4) ≈ 200.96 cubic inches
For a cylinder with a 9-inch radius and 9-inch height:
V = π(9)²(9) ≈ 2289.0 cubic inches
For a cylinder with a 4-inch diameter and 9-inch height (radius is 2 inches):
V = π(2)²(9) ≈ 113.04 cubic inches
For a cylinder with a 6-inch diameter and 9-inch height (radius is 3 inches):
V = π(3)²(9) ≈ 254.5 cubic inches
For a cylinder with a 9-inch diameter and 4-inch height (radius is 4.5 inches):
V = π(4.5)²(4) ≈ 254.5 cubic inches
Therefore, the dimensions of cylinders that have a volume under 220 cubic inches per serving are:
3-inch radius and 4-inch height
4-inch diameter and 4-inch height
4-inch diameter and 9-inch height
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Question is in picture
Answer:
the answer will be 14,3 ok but check it
Which equation matches the table?
X 4 5 6 7 8
Y 8 10 12 14 16
y = x - 4
y = x ÷ 2
y = x + 4
y = 2 x
Answer:
y=2x
Step-by-step explanation