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.
The sum of a number x and 8
Ms. Storch is organizing a dance competition. She is charging a flat fee of 1 $18 for each group to enter the competition and an additional $2.75 per person in the group. If your dance group owes $70.25 for the competition, how many dancers participated?
The price of a toy usally costing 50 is increased to 65 work out percentage increase
Answer:
30%
Step-by-step explanation:
Increase in cost = 65 - 50 = 15
Percentage increase
[tex] = \frac{15 \times 100}{50} \\ \\ = 15 \times 2 \\ \\ = 30\%[/tex]
PLEASE HELP ITS DUE IN A FEW MINUTES
Answer:
a=5b-3a-4b
Step-by-step explanation:
We first need to move all terms that do not contain a to the right side of the equation. We cancel terms on the left side by adding -4b to both sides of the equation. a+4b-4b=5b-3a-4b
What value does point P represent on the number line given?
PLZZZ HURRY
A $40,000 car depreciates in value about 18% per year for the life of the car. Determine the value of the car after 7,8, and 9 years. What is the rate of decay?
Answer:
Value after:
7 years = $9971.42
8 years = $8176.56
9 years = $6704.78
Rate of decay = 18%
Step-by-step explanation:
A $40,000 car depreciates in value about 18% per year for the life of the car.
Determine the value of the car after 7,8, and 9 years. What is the rate of decay?
The formula for Depreciation is
FV = PV( 1 - r)^t
Where
FV = Future value
PV = Present value = $40,000
r = Depreciation rate = 18% = 0.18
t = time in years
a) After 7 years
$40,000 (1 - 0.18)⁷
= $9971.4188227
= $9971.42
b) After 8 years
$40,000 (1 - 0.18)⁸
= $8176.5634346
= $8176.56
c) After 9 years
$40,000 (1 - 0.18)⁹
= $6704.7820164
≈ $6704.78
= $9971.42
The Rate of decay = 18%
3(x-2)+1=
I have to turn this in, in 10 minutes. Help.
Answer:
3x-6+1
Step-by-step explanation:
I know algebraaaaaa
Marcos reads 3 1/2 books in 1 3/4 weeks. At this rate, how many books does Marcos read in 1 week
7.) One gallon is 4 quarts. Kai buys 2.5 gallons of milk at the store. How many quarts of milk did Kai buy?
Answer:
10 quarts
Step-by-step explanation:
Solve for the missing variable plzz
Answer:
3
Step-by-step explanation:
if you answer this u will get 10, and I will answer one of ur questions ONLY if ur right
Answer:c or 35
Step-by-step explanation:
Answer: 35%.
Step-by-step explanation:
35% of the students preferred hamsters as a favorite pet.
HELP ASAP EXPLAIN PLEASE
An equation is written below.
3/4x-4 = -19
What is the solution to the equation?
Answer:
x = -20
Step-by-step explanation:
3/4x - 4 = -19
multiply by 4 to eliminate denominator
3x - 16 = -76
3x = -60
x = -20
Which answer shows 0.00897 written in scientific notation?
0.897 x 10-2
8.97 x 10-3
8.97 x 10-2
8.97 x 20 3
Answer:A
Step-by-step explanation:
Help ASAP
5.(03.08)
Solve - 3x2 + 30% - 90 = 0. (2 points)
O x=5+216
O x=5715
X = 10+ 2115
O x= 10 + 15
Answer:
5 ± 2i√5
from the quadratic equation
Which of the following segments is a radius of OK?
Answer:
A. line KM
Step-by-step explanation:
radius is half of the diameter
Answer:
A
Step-by-step explanation:
The radius of a circle is a segment from the centre to the circumference.
KM is a radius as it satisfies this criterion.
helphelphelphelp im desperate
Answer: Option A.
Step-by-step explanation:
Simplifying
xy + -9z = 4
Solving
xy + -9z = 4
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '9z' to each side of the equation.
xy + -9z + 9z = 4 + 9z
Combine like terms: -9z + 9z = 0
xy + 0 = 4 + 9z
xy = 4 + 9z
Divide each side by 'y'.
x = 4y-1 + 9y-1z
Simplifying
x = 4y-1 + 9y-1z
12.07 divided by 0.71?
Answer:
The answer is 17
Step-by-step explanation:
Have a lovely day :)
Enter your answer and show all the steps that you use to solve this problem in
the space provided.
The two figures shown above are congruent. Identify the corresponding sides and
angles.
Answer:
Step-by-step explanation:
they're the same figure but turned 90 deg
congruent sides:
AD and RQ
BA and SR
BC and SP
PQ and CD
congruent angles:
D and Q
R and A
B and S
C and P
haven't done this in a minute sorry if this is wrong
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
name some underrated animes i should watch.
Answer:
one i have is samurai flamenco
Step-by-step explanation:
its cool to me
Answer:
personally I think Death Parade is underrated.
Step-by-step explanation:
You should watch it
please I BEG YOU! Find the ordered pair (x,y) if x+y=(5-x)+(5-y), x-y=(x-1)+(y-1).
Answer:
x=4, y=1
I think its that
Step-by-step explanation:
i’ll mark you brainliest
Answer:
thanks and it is 25
there are 4 prime numbers in the spinner
A 100% = 4
? = what about
100×1/4
= 25%
I need help please! Thank you
Answer:
2/5
Step-by-step explanation:
First, we substract the y variables.
y - 2 - y - 3 = 1
2(1) = 2
Then we subtract the bottom numbers.
5-2 = 3
The answer is 2/5
Answer:
y = 4
Step-by-step explanation:
HELP ASAP !!!Simplify.
(-2)^4(-2) -
Answer: -32
Step-by-step explanation: You can start by first changing the equation to (-2)^5. Then you just multiply -2 by itself 4 times to get -32.
The spinner shown is spun 300 times.
a) How many times would you expect the arrow
to stop on green if the spinner is fair?
The table below shows the number of times
the arrow stops on each colour.
Pink
Green
Colour
Frequency
Blue
45
Red
37
Purple
72
52
94
b) The spinner is spun once more.
Estimate the probability of landing on purple.
c) If the spinner is spun another 1000 times,
about how many times would you expect it to land on blue?
Answer:
A) 60
B) 72/300
C) 150
Step-by-step explanation:
A) P(green) = ⅕
⅕ × 300 = 60
B) purple: 72
45+37+52+94+72 = 300
Therefore, 72/300
C) 1000 × (45/300)
150
a, The number of times is 60.
b. The probability for landing should be [tex]72/300[/tex]
c. The number of times is 150.
Calculation of the number of times and probability:Since
a. The spinner shown is spun 300 times
and, the probability of green should be like [tex]1/5[/tex]
So here one-fifth of 300 should be 60.
b. The probability is
First the total be like
= 45+37+52+94+72
= 300
Now the probability is
= [tex]72/300[/tex]
C) The number of times should be
[tex]= 1000 * (45/300)[/tex]
= 150
Learn more about probability here: https://brainly.com/question/5680312
Amanda has 745 blueberries. She separated the blueberries into 5 equal groups. How many blueberries are in 2 of the groups?
Answer:
298
Step-by-step explanation:
5 equal groups of 745 would have 149 blueberries. You want to find how much is in 2 groups so you add 2 groups together, which is 149 + 149. That equals 298.
Maya makes trail mix by combining 1/2 cup of mixed nuts, 1/4 cup of dried fruit, and 1/8 cup of chocolate morsels. What is the total amount of ingredients in her trail mix? Explain how you solved the problem.
Answer:
7/8 of ingredients
Step-by-step explanation:
To calculate the amount of ingredients in Maya's trail mix, we should first come up with a common denominator to convert all the fractions to.
Our LCD here could be 8, because 8 is divisible by 2 and 4, our other denominators.
1/8 stays as 1/8.
1/2 = 4/8
since 1 x 4 = 4 and 2 x 4 = 8
1/4 = 2/8
since 1 x 2 = 2 and 4 x 2 = 8
1/8 + 4/8 + 2/8 gets us 7/8.
(( I assume you are looking for the total amount in fraction form ))
If n = 4, all of the following expressions are equivalent except _____.
16
n -2
Answer:16
Step-by-step explanation:
Answer:
The answer is 16.
Step-by-step explanation:
I hope this helps
A_____consists of two endpoints.
Line Segment
Plane
Line
Point