Answers
Answer:
XZ > XY > YZ
Step-by-step explanation:
1. Approach
To solve this problem, one must find the value of (x), then the measure of every angle in the triangle. Remember, the sum of all angles in a triangle is equal to 180 degrees. Another property of a triangle is that the largest side of a triangle will be opposite the largest angle of the triangle, conversely, the smallest side of a triangle will be opposite the smallest angle in the triangle.
2. Find the value of (x)
The sum of all angles in a triangle is equal to 180 degrees. Using this theorem, one can state,
m<X + m<Y + m<Z = 180
Substitute,
(50) + (5x + 10) + (5x) = 180
Simplify,
10x + 60 = 180
Inverse operations,
10x + 60 = 180
-60 -60
10x = 120
/10 /10
x = 12
3. Find the measure of each angle
Now substitute the value of (x) into the expressions given to represent the value of each angle.
m<X = 50
m<Y = 5x + 10 = 5(12) + 10 = 60 + 10 = 70
m<Z = 5x = 5(12) = 60
4. Now apply this to find the comparative lengths of the sides
One property of a triangle is that the side opposite the largest angle in the triangle is the largest side. Moreover, the side opposite the smallest angle in a triangle is the smallest side. In this problem, it is impossible to find the exact lengths of the sides of the triangle, but one can find out which side is larger or smaller than the other side.
m<Y = 70
m<Z = 60
m< X = 50
m<Y > m<Z > m<X
Side XZ is opposite m<Y
Side XY is opposite m<Z
Side YZ is opposite m<X
This means,
XZ > XY > YZ
Related Questions
what do you understand by resultant of a force
Answers
Answer:
When a system of forces is acting on an object, the difference between the forces is called the Resultant force. For example, a 3N force to the left and 10N force to the right gives a resultant force of 7N to the right.
Step-by-step explanation:
Simplify the expression by combining like terms:
-3m-8(m+1)
Answers
Answer: -11m-8
Step-by-step explanation: first you would distribute (m+1) into -8 causing it to be -3m-8m-8 you then combine like terms getting you -11m-8
Answer:
16m
Step-by-step explanation:
-3m -8 (m+1) any variable has 1.
-8 (-2m)
16m
Find the length below using the triangle given???asap
Answers
Answer:
PV = 8
VT = 4[tex]\sqrt{3}[/tex]
Step-by-step explanation:
in a 30-60-90° Δ, the ratio of sides, respectively, is 1: [tex]\sqrt{3}[/tex]: 2
if PT = 4 then PV is twice that, or 8
VT = PT·[tex]\sqrt{3}[/tex]
Patty buys a carpet that is made up of 9 parallelograms. Each parallelogram has a base of 12 inches and a height of 20 inches.
The area of each parallelogram is
square inches.
The area of the carpet is
square inches.
Answers
Answer:
Patty buys a carpet that is made up of 9 parallelograms. Each parallelogram has a base of 12 inches and a height of 20 inches.
The area of each parallelogram is
✔ 240
square inches.
The area of the carpet is
✔ 2,160
square inches.
An antique chair was purchased in the year 2013 for $500. At the time of purchase, an appraiser estimated that the value would increase by 10% per year. According to the appraiser's estimate about the value of the chairwhich statements are true?
Select ALL that apply
A. Alinear model provides the best of the estimated values.
B. The value will increase by 30% in the first 3 years.
C. After 2 yearsthe value will be $605.
D. The rate of change of the value will decrease over time
E.The value will increase by $50 in the first year
Answers
Answer:
C and E
.................
The true statements are (C) After [tex]2[/tex] years the value will be $[tex]605[/tex] and (E) The value will increase by $[tex]50[/tex] in the first year.
Compound Interest:Compound interest (or compounding interest) is the interest on a loan or deposit calculated based on both the initial principal and the accumulated interest from previous periods.
In the first year, the value[tex]=[/tex] $[tex]500+500\times \frac{10}{100}[/tex]
[tex]=500\left ( 1+\frac{10}{100} \right ) \\ =\left ( 500\times 1.1 \right )[/tex]
[tex]=[/tex]$[tex]550[/tex]
Change in price=$[tex]50[/tex]
After 2 years, the price is=$[tex]550+[/tex]$[tex]550 \times\frac{10}{100}[/tex]
=$[tex]550\times(1+\frac{10}{100} )[/tex]
=$[tex]550\times(1.1)[/tex]
=$[tex]605[/tex]
After 3 years, the price=$[tex]605+605\times\frac{10}{100}[/tex]
[tex]=605(1+\frac{10}{100} )[/tex]
[tex]=(605\times1.1)[/tex]
[tex]=[/tex]$[tex]665.5[/tex]
Rate of change[tex]=\frac{(665.5-500)}{500} \times100[/tex]%
[tex]=\frac{165.5}{5}[/tex]%
[tex]=33.1[/tex]%
[tex]\neq 30%[/tex]%
According to the problem, an exponential pt model provides the best fit.
Therefore, the true statements are an option C and E.
Learn more about the topic Compound Interest: https://brainly.com/question/26574136
(1 + )1⁄3 + (1 − )1⁄3 = 21⁄3
Answers
Jim has 1/3 of a cup of milk he adds 2/3 to it. How much milk does the cup have know.
Answers
Answer:
3/3 (1)
Step-by-step explanation:
1/3 plus 2/3 is 3/3.
Since the denominators are the same, you just keep the number the same and add the numerators (top numbers)
DO THIS FOR BRAINLIEST PLEASE
Joey wants to find out what sport 7th grade girls like the most. He asks "Is basketball your favorite sport?"
This question is biased.
True OR False
Answers
Answer:
True
Step-by-step explanation:
I hope I'm right
Answer:
False
Step-by-step explanation:
No 7th grade girl likes basketball the most unless they're going through their tomboy phase of life.
find the value of s in rectangle
Answers
Answer:
s + 1 = 2s
s = 1
WILL MARK BRAINLIEST! Solve for x and each angles measure. Only asking for #5. Thank you!
Answers
Answer:
Step-by-step explanation:
2x + 3x + 135 = 180 Every triangle has 180 degrees
5x + 135 = 180 Subtract 135 from both sides.
5x = 45 Divide by 5
x = 9
2x = 18
3x = 27
Other angle 135
Total 280
10 cm
a
6 cm
What is the length of the missing leg?
a =
centimeters
Answers
Answer:
10×6
= 60
Step-by-step explanation:
maaf kalau salah
Mia buys 4 ¼ pounds of plums. Her total cost after using a coupon for 55 cents off her entire purchase was $3.23. Write an equation to represent this situation.
Try to answer these
What is the total?
What will make the total - in words (be precise)
Write the words out as an equation
What don’t you know?
Write the algebraic equation.
Answers
Answer: I tried to help but i just got confused
Sorrry I didnt know the answer
Select the equivalent expression that shows the fewest possible terms.
Answers
Answer:
Step-by-step explanation:
7a-10c-2a-0.5c+5
5a-10.5c+5
it is your first choice
7a - 10c - 2a - 1/2c + 5
7a -2a - 10c - 1/2c + 5
5a -10.5c + 5
what if 1/3 years = -------- month
Answers
Answer: 1/3 of a year equals 4 months
Step-by-step explanation: This is because there are 12 months in a year and 1/3 years is 12/3, which is 4
Hope you are having a nice day and please tell me If got anything wrong
Answer: 4 months
Step-by-step explanation:I believe it would be four months because 12 months in a year divided by 1/3 would be 4 months. Hope this helps!
The volume of a right rectangular prism can be found by using the product 9(4)(1.1). Which expression could also be used to determine the volume of this prism?
O 11(9)(4)
O 9(4) + 1
0 32(11)
O 9 + 4 + 11
plss help fast
Answers
Answer:The answer is A)11(9)(4)
Step-by-step explanation:
If you have 9(4)(11) then is would be the one that look just like it but the number are moved like 11(9)(4)
Answer:
The Answer is 11 (9 + 4)
Since 2005 the amount of money spent at restaurants in a certain country has increased at a rate of 8% each year. in 2005, about $280 billion was spent at restaurants. if the trend continues, about how much will be spent at restaurants in 2015?
Answers
pleaseeee help please
Answers
Answer: It will be 60m^2
Find the value of x.
to
4
42°
60°
-
Answers
Answer:
Step-by-step explanation:
The missing angle of the triangle is 180°-42°-60° = 78°.
x° = 180°-78° = 102°
what is dangerous about living for seven days on just one can of sardines?
Answers
Answer:
because you cant survive without enough food.
Step-by-step explanation:
a small business estimates that the value V(t) of a copy machine is decreasing according to the function
V(t)=4000(4)^0.13t
where t is the number of year's that have elapsed since the machine was purchased and V(t) is in dollars.
Answers
Answer:
ZujADADA
Step-by-step explanation: 1+2=3
Could somebody help me with this please
Answers
Answer:
x = 19°
Step-by-step explanation:
.........................
Forgive me if wrong
HELPPP MEEE THE VALUEEEE
Answers
p = 180 - 48 - 42 + 39 = 129
Find the value of y if the mean is 22 and 18 ( 2y+1), 10 and 20 is 15
Answers
Answer:
2
Step-by-step explanation:
Mean = sum of data/sample size
Sum of data = 22 + 18 + 2y+1 + 10 + 20
Sample size = 5
Mean = 15
Substitute
15 = 22 + 18 + 2y+1 + 10 + 20/5
15*5 = 22 + 18 + 2y+1 + 10 + 20
75 = 70+2y+1
2y = 75-71
2y = 4
y = 4/2
y = 2
Hence the value of y is 2
if m<1 equals 35 what’s is m<3
Answers
Answer: 159
Step-by-step explanation: 53x3
Answer:
Step-by-step explanation:
m < 1 = 53°
then
m< 3 = m<1 + 90° ( exterior angle of a triangle is equal to the sum of two opposite interior angles )
m<3 = 53° + 90°
= 143°
hope it will help :)
The gross income, in dollars, that a company makes from
selling x items can be modeled by the expression 3x2 + 2x
+ 4. It costs the company x2 - 3x + 2 dollars to make x
items. Which expression represents the company's profit if
it makes and sells x items?
Answers
Answer:
x sells x
Step-by-step explanation:
$$$$$$$
write the sum using summation notation -1+2+5+8+...+44
Answers
Answer:
[tex]\sum_{i=0}^{15} (3i-1)[/tex]
Step-by-step explanation:
for i=0 you have the first term, 3*0-1 = -1
for i=1 you have the second term, 3*1-1 = 2
...
for i=15 you have the last term, 3*15-1 = 44
Find the area of this circle. Use 3 for pi
Answers
Answer:
area = 108 cm^2
Step-by-step explanation:
area = Pi(r^2)
using Pi = 3
r = D/2 = 12/2 = 6
area = 3(6^2) = 3(36) = 108 cm^2
A box contains 57 red marbles, 40 white marbles, and 70 blue marbles.
If a marble is randomly selected from the box, what is the probability that it is blue? Express your answer as a simplified fraction or a decimal
rounded to four decimal places.
Answers
Glados drew a triangle with the base of 9.6 centimeters. It's area was 30.72 square centimeters. What was it's height (nearest tenth)
Answers
Answer:
the answer is 98.3cmsquared
Which number is not a factor of 42?
2 3. 4 7
Answers
Answer:
3
by using divisibility test
Answer: Its 3
Step-by-step explanation: This is because 42 can be divided by 2 4 and 7 and still be a whole number but when you divide 3 by 42 you get 10.5
Hope this helps and have a nice day