if the measure 3= (2y+20) degrees, and the measure of 5= (210-4y) degrees, what is the measure of 4?
Answers
Answer:
110°
Step-by-step explanation:
y = 25
Angle 5 equals Angle 4 because of the Alternate Angles Postulate.
Angle 4 equals 110°
The measure of angle ∠4 is 110 degrees.
What are supplementary angles?Two angles whose sum is 180° are called supplementary angles. If a straight line is intersected by a line, then there are two angles form on each of the sides of the considered straight line.
Given that the measure Angle 3= (2y+20) degrees, and the measure of Angle 5= (210-4y) degree
Then ∠3 + ∠5 = 180, By Co-interior angles are supplementary
2y + 20 + 210 - 4y = 180
2y - 4y + 20 + 210 = 180
-2y + 230 = 180
Now Subtract 230 from both sides;
-2y = 180 - 230
-2y = -50
Then Divide both sides by (-2);
y = -50/-2
y = 25
Now, ∠5 = 210 - 4y
= 210 - 100
∠5 = 110
∠4 = ∠5 { by Alternate interior angles are equal}
∠ 4 = 110°
Learn more about supplementary angles here:
https://brainly.com/question/2882938
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Related Questions
Vanessa and Zack are playing a game where the player with the lower score wins. At the end of the game, Vanessa has a score of Negative 3 and StartFraction 5 over 8 EndFraction and Zack has a score of Negative 3 and two-thirds. Which statement explains who won?
Answers
Answer:
Zack wins.
Step-by-step explanation:
Vanessa's score = [tex]-3\frac{5}{8}[/tex]=-3.625
Zack's score = [tex]-3\frac{2}{3}[/tex]=-3.667
Answer: the answer is D: Comparing the decimal equivalents of their scores shows that Zack won because Negative 3.Modifying Above 6 with bar is less than –3.625.
Step-by-step explanation: i got it right on the test Hope it helps! :)
Write true or false for each,
The Aztecs lived before the Mayans.
2) The Aztecs lived on rafts in the sea.
3) During the Aztec Empire, the Aztec people were always on the move to find food.
4) The Aztecs were ruled by a powerful emperor.
5) The sun was an important aspect of the Aztec religion.
6) Some Aztec people helped the Spanish colonizers to defeat the Aztec Empire.
Answers
True
False
True
True
No sure
In a ten pin bowling the highest possible score in a single game is 300. At one point in the season, John had an average score of 177. In his next game he obtained a score of 199 which caused his average to increase to 178. After one more game John would like his average to be 183. is it possible for him to accomplish this. If so what score does he need to make his next game if not explain why not.
Answers
Answer:
John need to get 293 in his next game to bring his average up to 183.
Step-by-step explanation:
John starts with N games played and averaging 177 points per game.
In game N+1, John scored 199 points.
[tex]\frac{177N + 199}{N+1}=178\\177N+199=178N+178\\N=21\\[/tex]
So, John has now played (N+1) = 22 games.
We need to know what score John needs in game 23 to bring his average to 183.
[tex]\frac{177*21 + 199+Y}{23}=183\\3916+Y=4209\\Y=293\\[/tex]
If AB ≅ DE , BC = EF, and ∠ACB ≅ ∠DFE, then ΔABC ≅ ΔDEF.
WILL MARK BRAINLIEST
PLZ ASAP
Answers
Explanation: AB is approximately equal to DE. BC is equal to EF and angle ACB is approximately equal to angle DEF, therefore triangle ABC is approximately equal to triangle DEF.
Hope this helps :)
Answer:
Cannot be determined
Step-by-step explanation:
It can't be determined because AB=DE, BC=EF, and <ACB=<DFE not <DEF which makes the rule SSA which doesn't prove congruency.
April purchased 20 3/8 lb of potatoes for a picnic. The potatoes cost $2.95/lb. What was the total cost of the potatoes?
help
Answers
Answer:
$55.25
Step-by-step explanation:
20 3/8=163 163 divided by $2.95= $55.25
Question 121 pts
Daniel had $30 to spend at the fair. If the admission to the fair is $8 and the rides cost $1.25 each, what is the greatest number of rides Daniel can go on?
Answers
Answer:
17 rides
Step-by-step explanation:
30-8=22
22 divided by 1.25=17.6 and then you cant go on without 1.25 so 17
1a. A club has 11 members. How many different 3-member committees could the club form?
a) 165
OR
b) 990
1b. in how many ways a club president can a club president, treasurer and secretary be chosen?
a) 165
OR
b) 990
Answers
Answer:
1a is 165
1b is 990
Step-by-step explanation:
So the first one is basically asking the possibility of each member being chosen for one of each role.
While the second one is asking the possibility of the person being in one specific role and making that be considered a possibility.
In other words, it's basically easier to get into one of the three roles rather than being in one specific role.
A scale drawing of a rectangular flag is 12 inches long and 8 inches wide. If the scale is 1 inch: 2.4 feet, what is the length and width of the actual flag?
Answers
Answer: length = 28.80 feet
Width = 19.20 feet
Step-by-step explanation:
Scale used = 1 inch:2.4 feet
Length or scale drawing = 12 inches
Width of scale drawing = 8 inches
Length of actual flag = (12 × 2.4 feet) = 28.80 feet
Width of actual flag = (8 × 2.4 feet) = 19.20 feet.
Answer:Answer: length = 28.80 feet
Width = 19.20 feet
Step-by-step explanation
Scale used = 1 inch:2.4 feet
Length or scale drawing = 12 inches
Width of scale drawing = 8 inches
Length of actual flag = (12 × 2.4 feet) = 28.80 feet
Width of actual flag = (8 × 2.4 feet) = 19.20 feet.
p+q=1 and pq=-20. What are the values of p and q?
Answers
Answer:
Step-by-step explanation:
5, -4
5-4=1
5(-4)=-20
Write the equation of the line that passes through the points (14,8) and (11, 2)
Answers
1/4(z 3z) 7=−z 1 please help with this ive been stuck
Answers
Answer:
z=0
Step-by-step explanation:
if the equation was 1/4(3z)7=-1z
Reggie plans to have a garden with 36 plants. He wants the ratio of tomato plants to cucumber plants to be 4:5. How many cucumber plants will be in Reggie's garden?
Answers
Answer:
20
Step-by-step explanation:
Total no of plants in a garden = 36
The ratio of tomato plants to cucumber plants to be 4:5.
Let tomato plants are 4x and cucumber plants is 5x.
ATQ,
4x+5x=36
9x = 36
x = 4
For cucumber plant, 5x = 5(4) = 20
So, there are 20 cucumber plants will be in Reggie's garden
Yo can someone help me out
Answers
Answer:
The answer is 1/20
Step-by-step explanation:
Answer: 1/20 in fraction form. 0.05 in decimal form.
Step-by-step explanation:
1/5 ÷ 4 = 1/20 in fraction form. 1/5 ÷ 4 = 0.05 in decimal form.
(180-x)+(90-x) = 124
Answers
Answer:
x = 73
General Formulas and Concepts:
Order of Operations: BPEMDASStep-by-step explanation:
Step 1: Define equation
(180 - x) + (90 - x) = 124
Step 2: Solve for x
Combine like terms: 270 - 2x = 124Subtract 270 on both sides: -2x = -146Divide -2 on both sides: x = 73Step 3: Check
Plug in x to verify it's a solution.
Substitute: (180 - 73) + (90 - 73) = 124Subtract: 107 + 17 = 124Add: 124 = 124Charlie has a $50 gift card to Smoothie World. He purchased the same smoothie 8 times and has $14 left on it. What was the price of each smoothie?
Answers
Answer:
Each smoothie was $4.5.
Step-by-step explanation:
We know that he has $50 to use, and after he used it he had $14 left. That means he used $36.
If you divide 36 by 8, you get 4.5
Hope this helped! :D
The price of each smoothie was 4.5
50-14=36
36/8=4.5
Is this function linear or nonlinear?
Answers
Answer:yes
Step-by-step explanation:0 and 0 means that those numbers dont move that distance apart 1 that 1 X 1 it seems so it would equal 1 2 and 4 2 x 2 = 4 and 3 X 3 equals 9
If the scale on a map is = inches/feet 2/10 , how would the following lengths be represented?
a. 15 feet b. 30 feet c. 55 feet
Answers
Answer:
Read below
Step-by-step explanation:
a)3 inches
b)6 inches
c)11 inches
Just cross multiply stuff and boom, those are your answers.
What is the 75th term of the arithmetic sequence -1, 5, 11
Answers
Answer:
75th term = 443
Step-by-step explanation:
[tex]a_{n}=a_{1}+d(n-1) \\a_{n}=-1+6(n-1) \\a_{75}=-1+6(75-1) \\a_{75}=-1+6(74)\\a_{75}=-1+444\\a_{75}=443 \\\\[/tex]
HeLPPPPp!!! The area of a square is numerically equal to three times its perimeter. Find the length of a side of the square.
Remember to only enter a number.
Answers
Answer:
12 Units
Step-by-step explanation:
Area of square = A^2
3 times its perimeter = 3(4A)
A^2= 12A
A=12
Plz help me agh! It’s linear stuff
Answers
Answer:
(1/2)x - y = -2
General Formulas and Concepts:
Pre-Alg
Equality PropertiesAlg I
Slope-Intercept Form: y = mx + b
m - slope b - y-interceptStandard Form: Ax + By = C
Step-by-step explanation:
Step 1: Define equation
Slope-Intercept Form: 2 + (1/2)x = y
Step 2: Find Standard Form
Rewrite: y = (1/2)x + 2Subtract 1/2x on both sides: y - 1/2x = 2Factor negative: -(1/2x - y) = 2Divide both sides by -1: 1/2x - y = -2PLEASE HELP!! WILL GIVE BRAINLIEST!!
An archer shoots an arrow into the sky where the motion of the arrow can be modeled by the equation:
f(t) = -16t² + 80t
where t is time in seconds and f(t) is height in feet.
Find how long it will take the arrow to hit the ground using an algebraic method
Show all of your reasoning/steps used with this algebraic method.
Answers
Answer:
this is unsolvable because you dont know what the height in feet is
P(x) = 3x³+ 2x²-x what is the value of P(2)
Answers
Answer:
polynomial is -1
so answer is-1
It takes 12 people to mow Richard Richerson's lawn. If his lawn is 600,000 square yards, what is the average number of square yards each person will mow?
Answers
Answer:
each person will mow 50,000 square yards
Step-by-step explanation:
Given;
mow Richard Richerson's lawn = 600,000 square yards
number of people, = 12 people
The average number of square yards each person will mow is given by;
= 600,000 square yards / 12 people
= 50,000 square yards / person
Therefore, each person will mow 50,000 square yards
Solve the inequality: 10x<2x+12
Answers
Answer:
10x<2x+12
-2x -2x
8x<12
-- --
8 8
x<1.5
WILL GIVE 5 STARS
Drag and drop each pair of lines into the correct category to indicate whether the pair of lines are parallel, perpendicular, or neither.
Answers
Answer:
Step-by-step explanation:
to know:
-to be paralel the lines have to have the same slope
-to be perpendicular the slope has to be negative invers of thhe other
-to be neither has to be none of the above two
equation to compare to is
y=mx+b where m is the slope
if your equation does not have this form make it have this form
2y=3x+1 so divide by 2
y=[tex]\frac{3}{2}[/tex] x+1 so here the slope is [tex]\frac{3}{2}[/tex]
4x+6y=14 so subtract 4x and then divide by 6 to isolate y
6y= -4x+14
y=[tex]\frac{-4}{6}[/tex] x + [tex]\frac{14}{6}[/tex] symplify
y=[tex]\frac{-2}{3}[/tex] x + [tex]\frac{7}{3}[/tex] so the slope here is [tex]\frac{-2}{3}[/tex]
So if you compare the slopes you can see that are negative reciprocal of eachother so the lines are perpendicular
and so on...
The table below shows the number of each item sold at the concession stand. What might the ratio of 5:4 represent?
popcorn sold 20
nachos sold 15
hotdog sold 25
candy bar sold 30
Answers
The price of of the hotdog to the price of popcorn is in the ratio 5:4
25:20 is 5:4
Complete the proof for the following Algebraic Equation:
3x + 6 = 2(x-1)
Select the answer for x below and show the proof on your page for uploading.
O x - 4
Ox= 1
O x=8
O x--7
Answers
x= -8
Step-by-step explanation:
3x + 6 = 2(x-1)
3x + 6 = 2x - 2
3x - 2x = -2 -6
x = -8
What is the expected value of the random variable with the given probability distribution? If necessary, round your answer to the nearest hundreth.
A) 0.62
B) 1.62
C) 3.70
D) 4.33
Answers
EX: 4.33
The sport of wrestling is becoming more popular among girls. The ratio of girls to boys in wrestling is 1 to 5. If there are 200 boys in a wrestling league, how many girls are there? *
Answers
Answer:
40
Step-by-step explanation:
200 divided by 5 is 40, and 40 times 1 is 40.
Answer:
40 girls
Step-by-step explanation:
Please answer correctly !!!!!!!!!!!!!!!!!! Will mark brainliest !!!!!!!!!!!!!!!!!!!
Answers
Answer:
The answer is 79 degrees
Step-by-step explanation:
Vertically opposite angles are exactly the same. In this case M<AED and M<IEF are vertically opposite from each other.
Answer:
79°
Step-by-step explanation:
[tex] m\angle AED = 79\degree \\ .... (given) \\\\
\because m\angle IEF = m\angle AED \\ ... (Vertical \:\angle 's) \\ \\
\therefore m\angle IEF = 79\degree[/tex]