Answers
Answer:
∠ X = 80° , ∠ V = 60°
Step-by-step explanation:
(a)
Since XY and WX are congruent then the triangle is isosceles and the 2 base angles are congruent, that is
∠ W = ∠ Y = 50° , so
∠ X = 180° - (50 + 50)° ← sum of angles in triangle
∠ X = 180° - 100° = 80°
(b)
Since the 3 sides are congruent then the triangle is equilateral with the 3 angles congruent, each 60°
∠ V = 60°
Related Questions
Find the value of x and y. Triangle MNP = triangle TUS
Answers
Answer:
x = 32, y = 51
Step-by-step explanation:
Since the triangles are congruent then corresponding sides and angles are congruent, that is
∠ U = ∠ N
∠ N = 180° - (142 + 24)° = 180° - 166° = 14° , then
2x - 50 = 14 ( add 50 to both sides )
2x = 64 ( divide both sides by 2 )
x = 32
and
NP = US
2x - y = 13
2(32) - y = 13
64 - y = 13 ( subtract 64 from both sides )
- y = - 51 ( multiply both sides by - 1 )
y = 51
Using the triangle theorem, the values of x and y is 32° and 51° respectively
From △MNP
∠M + ∠N + ∠P = 180° (Sum of interior angles in a triangle)
N = 180 - (142 + 24)
N = 180 - 168
N = 14°
Equate the expression :
2x - 50 = 14
2x = 14 + 50
2x = 64
x = 64 / 2
x = 32°
From ; 2x - y = 13 _____(1)
Substitute x = 32 into the expression ;
2(32) - y = 13
64 - y = 13
64 - 13 = y
51° = y
Therefore, the values of x and y is 32° and 51° respectively.
Learn more : https://brainly.com/question/8317316
Amelia can spend no more than $90 per day to rent a car. A car rents for $35 per day plus $0.22 per mile. How many miles can Amelia drive without going over her budget?
Which of the following inequalities best represents the given scenario?
A. 35+0.22m≤90
B
35m+0.22≤90
C
35+0.22m≥90
D
35m+0.22≥9
Answers
Answer:
c
Step-by-step explanation:
1. Which of the following natural numbers are perfect squares? Give reasons in support
of your answer.
(i) 729
(ii) 5488
(iii) 1024
(iv) 243
Answers
Answer:
729 and 1024
Step-by-step explanation:
If you take the square root of all of these numbers, only 729 and 1024 will give whole numbers.
Have a Great Day!
HELP I NEED HELP ASAP HELP I NEED HELP ASAP HELP I NEED HELP ASAP HELP I NEED HELP ASAP
HELP I NEED HELP ASAP HELP I NEED HELP ASAP HELP I NEED HELP ASAP HELP I NEED HELP ASAP
Answers
Answer:
The answer should be A I think
which one is greater 3/10 or 2/5
Answers
Answer:
2/5
Step-by-step explanation:
2/5=4/10
Answer:
2/5 is great because it's 40%
3/10 is 30%
so 2/5 is greater
i need help asap i wil mark brainliest if you get these for me pls
Answers
Answer:
5. 32 6. Don't know
Step-by-step explanation:
The lengths of a certain species of fish are approximately normally distributed with a given mean ll and standard
deviation. According to the Empirical Rule, what percentage of the fish will have lengths within 1 standard deviation
of the mean?
-34%
-47.5%
-68%
-99.7%
Answers
The percentage of fish which will have the lengths within 1 standard deviation of the mean is 68%.
What is Empirical Rule?Empirical rule is a rule for normally distributed data which defines that almost all the data observed ranges between three standard deviations from the mean.
According to empirical rule,
68% of the data lies in the standard deviation of ±1.
95% of the data lies in the standard deviation of ±2.
99.7% of the data lies in the standard deviation of ±3.
Given,
The lengths of a certain species of fish are approximately normally distributed with a given mean and standard deviation.
According to the Empirical Rule, 68% of the fish will have lengths within 1 standard deviation of the mean.
Hence the required percentage is 68%.
Learn more about Empirical Rule here :
https://brainly.com/question/30700783
#SPJ5
“28 is 40% of what number?” i got 70, is that correct?
Answers
Answer:
70
You got it correct :)
Step-by-step explanation:
[tex]\frac{28}{y} =\frac{40}{100}[/tex]
y × 40 = 100 × 28
40y = 2800
40y ÷ 40 = 2800 ÷ 40
y = 70
20 m
12 m
b
What is the perimeter?
meters
Answers
Answer:
if length is 20 and width is 12 then the perimiter is 64
Step-by-step explanation:
A certain bank offers a car loan with a fixed annual interest rate. Justine applied for the loan and used the entire amount to buy a car worth $43,000. He had to pay the bank for five years for a total amount of $51,600. How much would be the yearly interest if Justine borrowed $50,000 instead? *
0 points
Answers
Answer: $10000
Step-by-step explanation:
From the question,
Principal = $43000
Time = 5 years
Rate = Unknown
Simple Interest = $51,600 - $43000 = $8600
We need to calculate the rate of interest which will be:
Interest = PRT/100
8600 = (43000 × 5 × Rate) / 100
Cross multiply
8600 × 100 = 215000 × Rate
Rate = 860000 / 215000
Rate = 4%
Assuming Justine borrowed $50,000 instead, the yearly Interest will be:
= (50000 × 5 × 4%)
= 50000 × 5 × 0.04
= $10000
pls help asap no files though
Answers
Answer:
About 10 for A and B
Step-by-step explanation:
Just count the little boxes :)
8. A going out of business sale has the entire store marked 80% off. Which of the following is equivalent to
80%?
F.
3
4
G. 0.08
4
H
J. 8.0
ANSWER IF YOU CAN AND AS FAST AS YOU CAN NO LINKS!!!!!!! PLEASE HELP
Answers
Answer:
G. 0.08
Step-by-step explanation:
It is actually 0.8 but putting a zero before 8 is fine.
0.0008=0.8
0.8000=X
Help me please.. :) :) :) :) :) :)
Answers
Answer:
Reflection Waves(i think)
Step-by-step explanation:
When light bounces off something then that is reflection and music travels in sound waves so I would say waves.
20 people applied for a job. Everyone either has a school certificate or diploma or even both. If 14 have school certificates and 11 diplomas how many have a school certificate only
Answers
Given:
Either has a school certificate or diploma or even both = 20 people
Having school certificates = 14
Having diplomas = 11
To find:
The number of people who have a school certificate only.
Solution:
Let A be the set of people who have school certificates and B be the set of people who have diplomas.
According to the given information, we have
[tex]n(A)=14[/tex]
[tex]n(B)=11[/tex]
[tex]n(A\cup B)=20[/tex]
We know that,
[tex]n(A\cup B)=n(A)+n(B)-n(A\cap B)[/tex]
[tex]20=14+11-n(A\cap B)[/tex]
[tex]20=25-n(A\cap B)[/tex]
Subtract both sides by 25.
[tex]20-25=-n(A\cap B)[/tex]
[tex]-5=-n(A\cap B)[/tex]
[tex]5=n(A\cap B)[/tex]
We need to find the number of people who have a school certificate only, i.e. [tex]n(A\cap B')[/tex].
[tex]n(A\cap B')=n(A)-n(A\cap B)[/tex]
[tex]n(A\cap B')=14-5[/tex]
[tex]n(A\cap B')=9[/tex]
Therefore, 9 people have a school certificate only.
Hurry please I need it tonight thank u so much
Answers
-5 (the bubble shaded black), the arrow going left towards -9.
Hope this helps!
A car wash attendant counted the number of cars washed and the total amount of money earned. The
company charged the same price for each car washed and earned $165 for 15 cars, $231 for 21 cars, and $275
for 25 cars. Write an equation for the relationship between the number of cars washed, n, and the number of
dollars earned, m.
Answers
Answer:
total=n÷m $165÷15,$231÷21 and $275÷25
I really need help please I’ll mark Brainlest
Answers
answer for brainilest and 11 points
Answers
hope this helped
Answer and Step-by-step explanation:
y = 2.2x is the equation for the table.
When you plug in the values for x into the equation, we get the same numbers as the values shown in the y section of the table.
#teamtrees #PAW (Plant And Water)
Help asap! No links or weird answers, please :(
The question and answer choices are in the picture below. The question is about scatter plots.
Answers
Answer: b
Step-by-step explanation:
im guessing
WILL MARK FOR BRAINIEST!!!!
Find the area of the composite shape.
Answers
a=bh/2
6x10=60
7x6=42/2=21
Add together: 60+21=81
81 is your final answer
WILL MARK BRAINLIEST
Answers
Answer:
30
Step-by-step explanation:
60(highest) - 30(lowest) = 30(range)
Aubrey dinner cost 85$ she tips the waitstaff 30% for excellent service how much is Audrey's tip ?
Answers
Answer:
25.5 dollars
Step-by-step explanation:
Answer:
25.5
Step-by-step explanation:
you go 85 x 0.3 and get that as your answer
Due tonight.. *no links*
Answers
Answer:
angle z= 96°
angle x = 33
I hope it's helps you
Answer:
z = 96
x = 33
Step-by-step explanation:
Given that g and h are parallel, we can assume that 84 and z will be equal to 180.
[tex]84 + z=180\\z= 96[/tex]
Then we make the , simple algebra work!
[tex]96 = 6x - 102\\198 = 6x\\x = 33[/tex]
It's been like 2 years since I've touched geometry, but if I could remember I can explain this with proofs, sadly I can't.
determine whether a triangle with given side lengths will be a right triangle?
19.5,12,13
20.8,15,17
21.2,4,7
22.7,24,25
23.3,9,10
24.12,13,25
Answers
Answer:
Step-by-step explanation:
Apply the Pythagorean Theorrem. Find the sum of the squares of the two shortest sides and determine whether this sum equals the square of the longest side:
#19: 5^2 + 12^2 = ? = 13^2
25 + 144 = ? = 169 This is true, so you do have a right triange in #19.
#21: 2^2 + 4^2 = ? = 7^2, or 4 + 16 = ? = 49 This is false. Not a right
triangle.
Apply this same approach (Pythagorean Theorem) to the remaining problems.
A square sticky note has sides that are 7 centimeters long. What is the sticky note's area?
Answers
Answer:
side- 7
area of square - side x side
7 x 7 - 49² cm
square - all sides are the same length
area - length * width
7 * 7 = 49
49 cm^2Solve the quadratic equation
(x+2)^2=1
Answers
Answer: x = -1, -3
Step-by-step explanation:
Answer:
Step-by-step explanation:
Taking the square root of both sides leads to
x + 2 = ±1
which in turn comes out to x = -2 + 1, or x = -1, and x = -2 - 1, or x = -3
How do I solve for X?
Answers
All the angles should add up to 360°.
8x+10x+9+21x-12+90=360°
Group like terms together.
So,8x+10x+21x+9+90-12=360
39x+87=360
39x=360-87
39x=273
x=7
During a sale, a dress is marked down from a selling price of $90 to a sale price of $72. What is the percent markdown?
Answers
Answer:
20 %
Step-by-step explanation:
Can somebody help me with this! Please
Answers
Answer:
Step-by-step explanation:
3(x +2 ) = 18 {Use distributive property: a(b +c) =a*b + a*c}
3*x +3*2 = 18
3x + 6 = 18 {Subtract 6 from both sides}
3x = 18- 6
3x = 12 {Divide both sides by 3}
x = 12/3
x = 4
Dr. Seals borrows $15,000 to remodel her backyard. The interest rate is 3%. The interest is compounded twice a year for two years. How much is the total she pays? How much is the interest?
Answers
Answer:
$1688.26
interest= $188.26
Step-by-step explanation: