5y - 16 + 3y + 20 = 180 degrees
Combine like terms on the left side
8y + 4 = 180
Subtract 4 from both sides.
8y = 176
Divide both sides by 8
y = 22
Plug 22 into y for each angle.
3y + 20 = 3(22) + 20 = 66 + 20 = 86 degrees
5y - 16 = 5(22) - 16 = 110 - 16 = 94
The angle opposite 5y - 16 also equals 94 because they are vertical angles.
The angle opposite of 3y + 20 also equals 86 because they are vertical angles
Which of the equations below is the simplified version of 3[2 - 2(3x + 1)] = 4(3x - 5)
Answer:
option 4) -18x = 12x-20
Step-by-step explanation:
3[2-2(3x+1)] = 4(3x-5)3[2-6x-2] = 12x - 203[-6x] = 12x - 20-18x = 12x-20If a car is traveling at 50kph, how long would it take for the car to travel 12.5km?
Answer:
4 km
Step-by-step explanation:
T = time
D = distance
S = speed
the forumla to find the distance is
T * S = D
manipulate the equation for this problem:
D/S = T
Plug-in the known values
D = 12.5 km
S = 50kph
12.5km/50kph
cancel units and simplify
4 km
Select all sets in which the number -3/4
is an element
A. rational numbers
B. integers
C. natural numbers
D. whole numbers
E. irrational numbers
Freal numbers
Answer:
Rational numbers is the correct answer for this.
Step-by-step explanation:
Rational numbers is the best and correct answer.
Solve by factoring
0 = x² - 4x + 4
Which are perfect square trinomials? Select two options. x2 − 9 x2 −100 x2 − 4x + 4 x2 + 10x + 25 x2 + 15x + 36
PLS HELP!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
C and D
Step-by-step explanation:
i just took the quiz
From the given options, only x² - 4x +4 and x² +10x +25 are perfect square trinomials. The correct options are the third and forth options - x² - 4x +4 and x² +10x +25
Determining perfect square trinomialsRecal that,
An expression is a perfect square trinomial if it takes the form ax² + bx + c and satisfies the condition b² = 4ac
For x² -9a = 1, b = 0, c = -9
0² ≠ 4(1)(-9)
0 ≠ -36
∴ x² - 9 is NOT a perfect square trinomial
For x² - 100a = 1, b = 0, c = -100
0² ≠ 4(1)(-100)
0 ≠ -400
∴ x² - 100 is NOT a perfect square trinomial
For x² -4x +4a = 1, b = -4, c = 4
(-4)² = 4(1)(4)
16 = 16
∴ x² - 4x +4 is a perfect square trinomial
For x² +10x +25a = 1, b = 10, c = 25
(10)² = 4(1)(25)
100 = 100
∴ x² +10x +25 is a perfect square trinomial
For x² +15x +36a = 1, b = 15, c = 36
(15)² ≠ 4(1)(36)
225 ≠ 144
∴ x² - 4x +4 is a NOT perfect square trinomial
Hence, from the given options, only x² - 4x +4 and x² +10x +25 are perfect square trinomials. The correct options are the third and forth options - x² - 4x +4 and x² +10x +25
Learn more on Determining perfect square trinomials here: https://brainly.com/question/2514855
Problem ID: PRABG4QG
How many inches of snow will fall in 24 hours if it continues to snow at this rate?
Do not include units (inches) in your answer.
Type your answer below as a number (example: 5, 3.1, 4 1/2, or 3/2):
Submit Answer
to search
Answer:
the answer is 48
Step-by-step explanation:
Which is the most reasonable way to estimate 26% of 88?
One-fifth(90)
One-fifth(80)
One-fourth(90)
One-fourth(80)
Answer:
1/4(90)
Step-by-step explanation:
The most reasonable way to estimate 26% of 88 is one-fourth of 90. Therefore, the correct option is C.
What is percentage?Percentage is defined as a given part or amount in every hundred. It is a fraction with 100 as the denominator and is represented by the symbol "%".
Given that, 26% of 88.
Now, 26/100 ×88
= 0.26×88
= 22.88
A) 1/5 ×90
= 18
B) 1/5 ×80
= 16
C) 1/4 ×90
= 22.5
D) 1/4 ×80
= 20
Therefore, option C is the correct answer.
To learn more about the percentage visit:
brainly.com/question/24159063.
#SPJ2
Which answer is the simplified version of this : 5 exponent 3 x 25
Answer:
3,125
Step-by-step explanation:
[tex] {5}^{3} \times 25 \\ = {5}^{3} \times {5}^{2} \\ = {5}^{2 + 3} \\ = {5}^{5} \\ = 3,125[/tex]
please help meee. i honestly do not get what is being posted and need help
Chapters: 1.Integers
Answer the following questions:
1. Complete the pattern:
a) 8,3, -2, -7,
b) 20, 12, 4,
c) -14, -10, -6,
Answer:
a) -12
b) -4
c)-2
Step-by-step explanation:
a) pattern is minus 5
b) pattern is minus 8
c) pattern is plus 4
(9+33-6)-3-7?
can someone also explain it i don't really understand :( thx!
Answer:
26
Step-by-step explanation:
APPLY PEMDAS:
Evaluate the numbers in the parentheses before evaluating the whole equation.
[tex](9+33-6)-3-7\\\\36 - 3 -7\\\\33-7\\\\\boxed{26}[/tex]
Hope this helps.
Identify the range of the function shown in this graph
Answer:
[tex]0 \leqslant y \leqslant 5[/tex]
NEED HELP ASAP SHOW WORK PLSSSS
Answer:
Hey there!
6x+1+3=8x+1
6x+4=8x+1
6x+3=8x
3=2x
x=1.5
6(1.5)+1
10
SR is 10 units long.
Let me know if this helps :)
6 less than twice a number.
Answer:
X × 2 - 6
Step-by-step explanation:
"Twice a number" means that it needs to be multiplied by two and "6 less than" means you need to subtract 6 at the end.
can someone help mee :(((?
Step-by-step explanation:
2√48= 13.86
3√147= 36.37
Perimeter: 13.86+13.86+36.37+36.37= 100.46
Pls help!!!!!!! Determine the lowest common denominator for each sum or difference.
X
7/6 + (-5/12)
Common Denominator: 10
Common Denominator: 12
Common Denominator: 24
X
13/24 + 7/12
3/2 - 4/5
x
1/8-5/3
x
-3/4+ (-2/3)
x
5- 7/10
Answer:
Common Denominator 10: 5-7/10 and 3/2-4/5
Common Denominator 12: -3/4 + (-2/3) and 7/6 + (-5/12)
Common Denominator 24: 1/8-5/3 and 13/24+7/12
Hopefully This Helps You :)
Answer:
Common Denominator 10: 5-7/10 and 3/2-4/5
Common Denominator 12: -3/4 + (-2/3) and 7/6 + (-5/12)
Common Denominator 24: 1/8-5/3 and 13/24+7/12
Step-by-step explanation:
please hurry!! the graph of y= 2/x - 1 is shown which statement about the graph is accurate
A. the x-intercept or the graph (2, 1)
B. the graph has no y-intercepts
C. the y-intercept of the graph is (2, 0)
D. the graph has no x-intercepts
Answer:
B. The graph has no y-intercepts
Step-by-step explanation:
We see that we have vertical and horizontal asymptotes.
We also see that the right side of the graph has an x-intercept of (2, 0).
Therefore, A and D are incorrect.
We use the vertical asymptote x = 0 to get our answer B, as we will never cross the y-axis as x approaches negative and positive infinity.
Aaron wants to make as many gluten-free, low-carb cupcakes as he can for a bake sale. His recipe for 12 such cupcakes requires ⅜ of a cup of cocoa. Assuming Aaron has enough of the remaining ingredients, which of the following is closest to the number of cupcakes that he could make if he has 2 cups of cocoa? A)10 B)30 C)60 D)100
Answer:
I believe it is C
Step-by-step explanation:
First, I decided to use the proportion method. (Before I use this method, let's change [tex]\frac{3}{8}[/tex] into a decimal. So, that will be 0.375.
We know that we can cross multiply in a proportion
[tex]\frac{0.375 cups}{12 cupcakes} = \frac{2cups}{x}[/tex]
0.375x = 24
x = 64
round to tens
60
The number of cupcakes that he could make if he has 2 cups of cocoa is C) 60.
What is proportion?A proportion is an equation in which two ratios are set equal to each other.
Now, it is given that,
12 such cupcakes requires ⅜ of a cup of cocoa
So ratio, cup of cocoa : cupcakes = ⅜ : 12
⇒ cup of cocoa / cupcakes = ⅜ / 12
Now, let x be the number of cupcakes that he could make if he has 2 cups of cocoa
So ratio,cups of cocoa : number of cupcakes = 2 : x
Hence,By proportionality we get,
cup of cocoa : cupcakes = cup of cocoa : cupcakes
⅜ : 12 = 2 : x
⅜ / 12 = 2 / x
⇒ 0.375/12 = 2 / x
⇒ x = (2x12)/0.375
⇒ x = 24/0.375
⇒ x = 64
hence it is closest to the number 60.
So,The number of cupcakes that he could make if he has 2 cups of cocoa is C) 60.
More about proportion :
https://brainly.com/question/27960888
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A square has a perimeter of 28 ft. What is the length of each side? and it is in ft
Answer: 7 feet
Step-by-step explanation:
Since all 4 sides of a square are equal, you do 28 / 4 = 7 feet, which is the answer.
Answer:
d
Step-by-step explanation:
Evaluate. 7 x (-7 + 15)
Answer:
56
Step-by-step explanation
Find the distance between points (-1,-4) and (2,2)
Answer:
5
Step-by-step explanation:
Factor k^2-81...............
Answer:
[tex](k+9)(k-9)[/tex]
Step-by-step explanation:
[tex]k^2-81[/tex]
[tex]k^2-9^2[/tex]
Apply the difference of squares formula: [tex]x^2-y^2=\left(x+y\right)\left(x-y\right)[/tex]
Thus, [tex]k^2-9^2=\left(k+9\right)\left(k-9\right)[/tex]
Karina and Perry are cleaning up litter in the park for community service hours. Karina and Perry both claim they have covered the greatest area. Who is correct? Justify your answer using mathematical reasoning.
Answer:
Perry is correct, she covered the greatest area = 18 square units.
Step-by-step explanation:
Looking at the attached diagram, the shapes are rectangular and they are on grid or graph
Note that on a graph:
1 square box = 1 unit
Area of rectangle = Length × Width
For Karina
The Width = 3 units
The length = 4 units
The area which Karina covered = 3 units × 5 units
= 15 square units
For Perry
The Width = 9 units
The length = 2 units
The area perry covered = 9 units × 2 units
= 18 square units
Therefore, Perry is correct, she covered the greatest area = 18 square units.
FIRST TO ANSWER GETS BRAINLIEST!!!
Answer:
x = 3
y = 2
Step-by-step explanation:
f(x) = 2x and h(x) = 2x^2;Find f • h(3)
Answer:
36
Step-by-step explanation:
start by finding x for h(x)
2(3)^2
18
f(x) = 2(18)
36
Solve for n.
F=9/5(n-67)
Divide both sides by 9/5
9/5 F = N - 67
Add 67 to both sides
9/5 F + 67 = N
Hope this helped
Si una pulgada equivale a 2,54cm, ¿Cuantas pulgadas mide una barra de 31,75 cm?
Answer:
12.5 pulgadas
Step-by-step explanation:
31,75 cm * (1 pulgada)/(2,54 cm) = 12.5 pulgadas
r + 4 > 8 ; r= 2 i need help asap
Answer:
Step-by-step explanation:
2 + 4 > 8
6 > 8
not true
Need help with this 8/4+3/4=?
Answer:
11/4 or 2 3/4
Step-by-step explanation:
add numerators keep the same denominator
Answer: 2.75
8/4+3/4
this will give you 2.75 hope this helped
(let me know if it did)
Help please I don’t know the answer and the teacher didn’t explain
Answer:
Step-by-step explanation:
[tex]\frac{-4d^{2}+15d^{2}}{5}=\frac {11d^{2}}{5}\\\\=\frac{11*1^{2}}{5}\\\\=\frac{11}{5}\\\\=2\frac{1}{5}[/tex]