Answer:
[tex]\boxed {\boxed {\sf 1. \ 20 }}[/tex]
Step-by-step explanation:
An equilateral triangle has 3 equal sides and angles. Remember that equilateral sounds like equal.
The interior angles of a triangle must equal 180 degrees.
All 3 angles are the same.180/3= 60 All 3 angles in an equilateral triangle equal 60 degrees.The question tells us the angle is equal to (4x-20).
∠= 60°∠= (4x-20)°So, by substitution, we can set 60 and (4x-20) equal to each other.
[tex]60=4x-20[/tex]
Now, solve for x by isolating the variable on one side of the equation.
20 is being subtracted from 4x and the inverse operation of subtraction is addition. Add 20 to both sides of the equation.
[tex]20+60=4x-20+20 \\ 20+60=4x\\80=4x[/tex]
x is being multiplied by 4. The inverse operation of multiplication is division. Divide both sides of the equation by 4.
[tex]\frac{80}{4}=\frac{4x}{4}[/tex]
[tex]\frac{80}{4}=x \\\ 20=x[/tex]
x is equal to 20 and choice 1 is correct.
11. Find f(-1) for the function. f(x) = 3x - 4
Answer:
It is -7.
Step-by-step explanation:
Since x = -1, we can replace the x with -1 to get: -3 - 4 which is -7.
Answer: The answer is -7 for #11
Step-by-step explanation:f(x) = 3x - 4
f(x) = 3(-1) - 4 plug in -1 in x
-3-4 subtract both -3 and 4
-7 the answer
Solve the equation. y/8 = 5. y=
Answer:
y = 40
Step-by-step explanation:
Given
[tex]\frac{y}{8}[/tex] = 5 ( multiply both sides by 8 to clear the fraction )
y = 8 × 5 = 40
help pls !!!! order them from least to greatest
Answer: 3.5 , 2 1/2 , 5, 7, 11, π
Step-by-step explanation:
i hope i said those right
Question 7 of 10
Determine which postulate or theorem can be used to prove
that ASEA = APEN.
A. AAS
B.SAS
C.ASA
D.SSS
Answer:
Option C
Step-by-step explanation:
From the picture attached,
Given:
SE ≅ EP
∠ESA ≅ ∠ EPN
To Prove:
ΔSEA ≅ ΔPEN
Solution:
Statements Reasons
1). SE ≅ EP 1). Given
2). ∠ESA ≅ ∠ EPN 2). Given
3). ∠SEA ≅ ∠NEP 3). Vertical angles theorem
4). ΔSEA ≅ ΔPEN 4). By ASA postulate
Therefore, Option C is the correct option.
A company that makes hair products had 9000 people try new shampoo of the 9000 people 72 had a mild allergic reaction what percent of the people had a mild allergic reaction
Answer:
0.8%
Step-by-step explanation:
Number of people had mild allergic attack = 72
% of people who had mild allergic attack = 72/9000 × 100%
= 0.8%(Answer)
geometry:(
*image shown above*
Answer:
y-1=-7/2*(x+3)
Step-by-step explanation:
can u help me find the answer quickly
Answer:the second one
Step-by-step explanation: hope this helps
Write the number seven hundred and ninety four in figures
Answer: 56 785 is written as fifty six thousand, seven hundred and eight five. The number 406 090 is written as four hundred and six thousand and ninety. Numbers with seven, eight or nine digits, are millions. 46 758 442 is forty six million, seven hundred and fifty eight thousand, four hundred and forty two.
Step-by-step explanation:
The number would be 794 in figure form which represents seven hundred and ninety-four.
What is the number system?A number system is defined as a way to represent numbers on the number line using a set of symbols and approaches. These symbols, which are known as digits, are numbered 0 through 9. Based on the basic value of its digits, different types of number systems exist.
Calculating the number of quantities for an object or the Number of things left in the container are only two examples of the types of mathematical operations that utilize the Number System.
We have to write the number seven hundred and ninety-four in figures
As per the given statement, the expression would be:
⇒ 700 + 94
⇒ 794
Therefore, the number seven hundred and ninety-four in figure form would be 794.
Learn more about the number system here:
https://brainly.com/question/21751836
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1. The difference of five times a number and 6 is -2.
Answer:
13
Step-by-step explanation:
5-x+6=-2
X=13
Solve. Express your answer as a mixed number. 5 feet= ______ yards Solve. I need an explanation on how to put it as a mixed number and how to solve it.
Answer: 5 feet= __5/3 0r 1 2/3____ yards
Step-by-step explanation:
Step 11 yard = 3 feet
3 feet = 1 yard
5 feet = 5feet x 1 yard/ 3feet
= 5/3yards
Step 2 To convert 5/3 yards to a mixed fraction,
1. We first Divide the numerator, 5 by the denominator, 3 giving us a whole number and a remainder
5/3 = 1 remainder 2
2.then we write the whole number and put the remainder 2 above the denominator 3 giving us
5/3 = 1 2/3
such that when you multiply the mixed fraction 3 x 1 and add 2 it gives back the improper fraction of 5/3
Circle the "best buy."
4 for $1.50
35 cents each
6 for $2.00
Consider the system of equations: y=3x & y=3x+12. How many solutions does the system have?
A) One Solution
B) No Solution
C) infinite Solutions
The temperature was 80 °F and then fell 20 °F. What is the new temperature?
Please help me due today
What is the decimal multiplier to decrease by 0.6%?
Step-by-step explanation:
0.6/100= 0.006 should be multiplied to decrease by 0.6%
Three of the vertices of quadrilateral MARY are M (-3,1), A(3,3), and R(5,7). Find the
coordinates of Y, such that, quadrilateral MARY is a parallelogram.
Use coordinate geometry to prove that MARY is a parallelogram.
9514 1404 393
Answer:
Y = (-1, 5)
Step-by-step explanation:
The diagonals of a parallelogram bisect each other, so have the same midpoint. That is ...
(M +R)/2 = (A +Y)/2
Y = M + R - A . . . . . . multiply by 2 and subtract A
Y = (-3, 1) +(5, 7) -(3, 3) = (-3 +5 -3, 1 +7, -3) . . . . . substitute point coordinates
Y = (-1, 5)
Coordinate geometry was used to find Y that makes MARY a parallelogram. The fact that there is a solution is proof enough that MARY is a parallelogram.
_____
Your teacher may expect the "proof" to be either or both of ...
showing opposite sides have the same slopeshowing opposite line segments have the same lengthGiven the method used above, both of these are unnecessary. However, in the interest of completeness, we will demonstrate.
Slope and Length of MA
slope = (3 -1)/(3 -(-3)) = 2/6 = 1/3
length = √(2²+6²) = √40
Slope and Length of AR
slope = (7 -3)/(5 -3) = 4/2 = 2
length = √(4² +2²) = √20
Slope and Length of RY
slope = (5 -7)/(-1 -5) = -2/-6 = 1/3 . . . . same as opposite side MA
length = √((-2)²+(-6)²) = √40 . . . . . . . same as opposite side MA
Slope and Length of YM
slope = (1 -5)/(-3 -(-1)) = -4/-2 = 2 . . . . same as opposite side AR
length = √((-4)² +(-2)²) = √20 . . . . . . same as opposite side AR
Opposite sides have the same slopes, so the figure is a parallelogram.
Opposite sides have the same lengths, so the figure is a parallelogram.
4+1/4 x + 3 = 10 pls help me
Answer:
= 1 2
Step-by-step explanation:
Combine multiplied terms into a single fraction
Multiply by 1
Add the numbers
Subtract 7 from both sides of the equation then Simplify
A butcher has 3 1 3 pounds of ground beef that will be priced at $1.35 per pound. He divides the meat into 8 equal packages. To the nearest cent, the price of each package is $ .
Answer:
$0.56
Step-by-step explanation:
Cost of 3 1/3 pounds of beef at $1.35 per pound
= 3 1/3 × 1.35
= 10/3 × 1.35
= $4.5
He divides the meat into 8 equal packages. To the nearest cent, the price of each package is $
= $4.5 / 8
= $0.5625
Approximately $0.56 to the nearest cent
Alise separated her pictures into 3 piles. Each pile contained 9 pictures. How many pictures did she have in all? Write and solve an equation to represent the problem. State the answer to the problem.
Answer:
3x9=27
Step-by-step explanation:
There are 27 pictures in all
A shoe store buys a shipment of nike shoes that cost $70 each to the purchases. They want to markup their prices for the customers by 30%. How much would the customer pay for a pair of nikes
Given :
A shoe store buys a shipment of Nike shoes that cost $70 each to the purchases.
They want to markup their prices for the customers by 30%.
To Find :
How much would the customer pay for a pair of Nikes.
Solution :
C.P = $70 .
It is given that selling price is 30% more than the S.P.
So, S.P = C.P + C.P×0.30
S.P = C.P×1.30
S.P = 70×1.30
S.P = $91.
Therefore, the customer would pay $91 for a pair.
Find the value: 3/2 ÷ 5/8 (write your answer as a fraction AND as a decimal number)
Answer:
Decimal : 2.4
Fraction: 2 4/10 or 2 2/5
Step-by-step explanation:
hope this helps :) plz mark brainliest to help my rank
3 5
/ ÷ /
2 8
To solve this, the first step would be to make the reciprocal of 5 / 8 which is 8 / 5, then change the division sign to a multiplication sign.
3 8
/ x /
2 5
3 x 8 = 24
2 x 5 = 10
24 / 10 = 12 / 5 or 2 2/5
12 divided by 5 = 2.4
Ahhhh sorry i misread it the first time and flipped the wrong equation
-5x2y - 3x4
What’s the answer
You have to multiply properties of exponents and simplify it
Answer: -2x(5y+6)
Step-by-step explanation:
Lucas has a goal to practice his violin for 300 minutes per week. How many more minutes does Lucas needs to practice in order to meet his goal ? On Saturday he practice for 45 minutes On Sunday he practice for 50 minutes
Answer:
205 minutes
Step-by-step explanation:
Step one:
given data
We are told that Luca's goal is to practice violin for 300 minutes in a week
He has practiced 45 minutes and 50 minutes for Saturday and Sunday already
that is in all, 45+50= 95minutes
Required
The remaining minutes of practice
Step two:
the deficit in practice is
300-95= 205 minutes
Melanie bought 4 gallons of slime and plans to sell
them in small jars that each hold 1/4 of a gallon. How
many small jars will Melanie fill with slime?
Can somebody help me with this thank you.
help please need this answer quickly!!
Answer:
m<4 = 83
m<1 = 97
Step-by-step explanation:
bduruhrie
What is 1 • (4/5) • (4/5) • (4/5) • (4/5) • (4/5)
Answer:
1024/3125 = 0.328
Step-by-step explanation:
Which side has a length of 10 units?
Answer:
I'm not honestly for sure but i'm guessing the side G, J because it is the longest!
Hope this helps,
0Drink0Milk0
it is Gj your welcome it has to be
I NEED THIS ASAP PLSS
Answer:
2 1/2
Step-by-step explanation:
Answer:
2 1/2
Step-by-step explanation:
Since P is at -4 and you want a number that is 6 1/2 units away from it. You are either adding 6 1/2 to it or subtracting 6 1/2 to that number.
-4 + 6 1/2 = 2 1/2
-4 - 6 1/2 = -10 1/2
Also if you count 6 and 1/2 notches in either directions from -4, you will also get both of those answers.
The multiple choice only gives you the 2 1/2 option so that is the one they are looking for.
In the first event, the eighth graders are running a baton relay race with three other classmates. The team’s top speed for each leg is 56.81 seconds, 59.22 seconds, 57.39 seconds, and 60.11 seconds. Use the information to predict the team’s best time for the race. (2 points)