Answers
Answer:
The set of values are described below:
[tex]v = 25\,cm[/tex], [tex]w = 25^{\circ}[/tex], [tex]x = 25^{\circ}[/tex], [tex]y = 65^{\circ}[/tex] and [tex]z = 10\,cm[/tex].
Step-by-step explanation:
Since [tex]\triangle JPO \cong \triangle SMR[/tex], then [tex]OJ \parallel RS[/tex] and [tex]OP \parallel RM[/tex]. By Alternate Internal Angles, we find that [tex]\angle R \cong \angle O[/tex]. In addition, the sum of internal angles in triangles equals 180°. Then, we have the following system of linear equations:
[tex]m\angle R + m\angle M + m\angle S = 180^{\circ}[/tex] (1)
[tex]m \angle O + m \angle P + m\angle J = 180^{\circ}[/tex] (2)
[tex]m\angle S = 65^{\circ}[/tex] (3)
[tex]m \angle M = m\angle P = 90^{\circ}[/tex] (4)
The solution of this system is [tex]m\angle R = 25^{\circ}[/tex], [tex]m \angle O = 25^{\circ}[/tex] and [tex]m \angle J = 65^{\circ}[/tex].
Lastly, the remaining sides are found by definition of congruence
Segment RS
Since [tex]\triangle JPO \cong \triangle SMR[/tex], then [tex]\overline {RS} \cong \overline {OJ}[/tex]. Hence, [tex]RS = 25\,cm[/tex]
Segment JP
Since [tex]\triangle JPO \cong \triangle SMR[/tex], then [tex]\overline{SM} \cong \overline {JP}[/tex]. Hence, [tex]JP = 10\,cm[/tex]
The set of values are described below:
[tex]v = 25\,cm[/tex], [tex]w = 25^{\circ}[/tex], [tex]x = 25^{\circ}[/tex], [tex]y = 65^{\circ}[/tex] and [tex]z = 10\,cm[/tex].
Related Questions
A shipping crate is packed with unit cubes the length of the crate is four units the width is two units and a height is four units find the volume of the shipping crate
Answers
Answer:
32 unit cubes
Step-by-step explanation:
Volume = length x width x height
Volume = 4 x 2 x 4
Answer:
32 unit cubes
Step-by-step explanation:Volume = length x width x height
Volume = 4 x 2 x 4
330 six graders were asked what their favorite sport is. 20% said baseball, how many students said baseball
Answers
Answer:
66
Step-by-step explanation:
10% of 330 = 33
another 10% of 330 = 33
therefore, 20% of 330 = 66
Is (–3, –10) a solution to this system of inequalities? y ≥ 7x − 2 y < 4x + 7
Answers
Answer:
No, it is not a solution
Step-by-step explanation:
Given the inequality y ≥ 7x − 2 and y < 4x + 7, they can be combined and written as;
7x-2≤y<4x+7
Equate both values of y, the point of intersection occurs when;
7x-2 = 4x+ 7
7x - 4x = 7 + 2
3x = 9
x = 9/3
x = 3
Substitute x = 3 into y = 7x - 2
y = 7(3) - 2
y = 21 - 2
y = 19
Hence the possible solution will be at (3, 19). Hence the solution (-3, -10) is incorrect
which relation is not a function? A. {(2, 3), (4, 5), (10, 12), (15, 16) B. {(-5, 20), (6, 13), (8,20),(11,8) C. {(0, 8), (0, -4), (7, 4), (12, 1) D. {(4, 1/4), (9, 1/9), (17, 1/7), (18, 1/8)
please help
Answers
Answer:
C. {(0, 8), (0, -4), (7, 4), (12, 1)
Step-by-step explanation:
hope it help
good luck
?????????????????????????????
Answers
SA=240sq.cm
have an amazing day <3
How much time does it take for a bird flying at a speed of 45km/h to travel a distance of 1800km?
Answers
Answer:
40 hours
Step-by-step explanation:
Time=Distance/Speed
Time=1800/45
Time=40 hrs
Answer:
[tex]40h[/tex]
Step-by-step explanation:
[tex]speed = \frac{distance}{time} \\ time = \frac{d}{s} \\ = \frac{1800km}{45kmh ^{ - 1} } \\ = 40h[/tex]
hope this helps you.
Can I have the brainliest please?
Have a nice day!
Brody deposited $500 into a savings account that earns 2.1% simple interest. What is the total amount in his account after 7 years?
Answers
Answer:
73.5
Step-by-step explanation:
Part/whole=percent/100
?/500=2.1%/100
500 divided by 100 is 5, so 2.1% times 5 is 10.5, which is the amount of interest made per year.
So, 10.5 times 7 is 73.5
HELP!(WILL GIVE BRAINLIEST) I ALSO HAVE LOTS OF POINTS IN MY PROFILE.
Julie Fargus deposits $450 in a savings account at City Bank. The account pays an annual interest rate of 3.125 percent. She makes no other deposits or withdrawals. After nine months the interest is calculated. How much simple interest does her money earn?
Answers
Answer:
$10.55
Step-by-step explanation:
what two numbers add to 13 and subtract to 3?
Answers
Answer:
8 and 5.
Step-by-step explanation:
x - y = 3
x + y= 13
by elimination method ,we get
2x = 16
x = 16/2
x = 8
8 + y = 13
y = 13 - 8
y = 5
x = 8 ,y = 5
Answer:
8 and 5
Step-by-step explanation:
Mr. Glass solved a system of equations using substitution and got the following result:
12= -4
What should he write as his final answer?
Answers
Answer: no solution
Step-by-step explanation:
HELPPPP!!!! ASAPPPP!!!
Answers
Answer:
It's 110°
Step-by-step explanation:
180 +70 = 250.
360-250=110
Which item is discounted by more than 15%
A. $199.99 smartphone on sale for $167.99
B. $28,100 car on sale for $24,750
C. $58 jeans on sale for $50
D. $1.99 song download on sale for $1.75
Answers
Answer:
A
Step-by-step explanation:
In a cookie jar, ¼ of the cookies are chocolate chip, and ½ of the rest are peanut butter. What fraction of all the cookies is peanut butter?
Answers
imagine you divide the jar into 4 parts and one of those parts is filled with chocolate chip. then, you divide all those four parts in half and end up with eight parts. one of those parts is filled with peanut butter cookies.
solve the following
x^2-2x-24=0
X^2-11+18=0
Answers
Answer:
x=-11
Step-by-step explanation:
Someone help plz make sure it’s right will mark brainiest if it is :)
Answers
Answer:
23
Step-by-step explanation:
Study the function below and then answer the questions that follow. Equation What is the domain of f(x)? What is the range of f(x)?
Answers
Answer:
(a) Domain: All real numbers except -2
(b) [tex]f(x) > -4[/tex]
Step-by-step explanation:
Given
See attachment for f(x)
Solving (a): The domain
From the attached image, we have:
[tex]f(x) = -x - 2, x <-2[/tex]
[tex]f(x) = -x^2, -2 < x < 0[/tex]
[tex]f(x) = x, x \ge 0[/tex]
To get the domain, we consider the inequalities attached to each of the piece-wise function
[tex]x < -2[/tex]
This implies that the values of x is less than -2 i.e.
[tex]x = \{.......,-4,-3\}[/tex]
[tex]-2< x<0[/tex]
This implies that x is greater than -2 and less than 0 i.e.
[tex]x = \{-1\}[/tex]
[tex]x \ge 0[/tex]
This implies that x is greater than or equal to 0 i.e.
[tex]x =\{0,1,2,3,....\}[/tex]
If these values of x are merged, we have:
[tex]x = \{.......,-4,-3,-1,0,1,2,3.....\}[/tex]
[tex]x = \{-\infty,..,-4,-3,-1,0,1,2,3,...,\infty\}[/tex]
-2 is not included in the above values of x.
Solving (b): The range
From the attached image, we have:
[tex]f(x) = -x - 2, x <-2[/tex]
[tex]f(x) = -x^2, -2 < x < 0[/tex]
[tex]f(x) = x, x \ge 0[/tex]
Substitute the greatest value of x in each piece-wise function.
[tex]f(x) = -x - 2, x <-2[/tex]
[tex]x=-2[/tex]
So;
[tex]f(-2) = -2-2 = -4[/tex]
[tex]f(x) = -x^2, -2 < x < 0[/tex]
[tex]x = -2[/tex]
So:
[tex]f(-2) = -2^2 = -4[/tex]
[tex]f(x) = x, x \ge 0[/tex]
[tex]x = \infty[/tex]
So;
[tex]f(\infty) = \infty[/tex]
We have:
[tex]f(-2) =-4[/tex]
[tex]f(-2) =-4[/tex]
[tex]f(\infty) = \infty[/tex]
The smallest value of f(x) is -4
Hence, the range is:
[tex]f(x) > -4[/tex]
Answer:
Domain is
B)
(-infinity, -2) U (-2, infinity)
Range is (-4, infinity)
Step-by-step explanation:
go it correct
edge2022
Which type of triangle is formed given the following angle measurements?
Angle 1: 60 degrees
Angle 2: 60 degrees
Angle 3: 60 degrees
Answers
Answer:
equilateral
Step-by-step explanation:
all angles are the same size. Has to be equilateral
help ls will give brainliest to the first person with a good answer
Answers
Answer:
I think its 90 degrees or 60 degrees
Find the volume of the regular prism
Answers
Answer:
64
Step-by-step explanation:
Here is why:
The formula for Volume is Length * Width * Height
In this case 4*8*2.
Any Questions?
The correct answer is 64 square cm.
The formula to find the volume of a rectangular prism is length x height x width (i.e., lwh).
Input the values first:
4 x 8 x 2
Then calculate the expression:
4 x 8 x 2 = 64
I hope this helps; have a wonderful day!
Find m<1, m<2, and m<3
Answers
Answer:
<1 = 113
<2 = 67
<3 = 113
Step-by-step explanation:
m<2 = 67 (because of vertical angles)
<1 + 67 = 180
<1 = 113
<1 = <3 because of vertical angles
HELP ME PLS PLS PLS OH PLS
Answers
Answer:
49 - 49 = 0
Step-by-step explanation:
PLEASE MARK AS BRAINLIEST
plz help will mark brainlist
Answers
Answer:
1. 1/7
2. 1/4
Step-by-step explanation:
maths
Give brainliest! F (x) = x³ + x² - x + 2 and G (x) = x² + 5 What is (FG)(x)?
Answers
Answer:
Step-by-step explanation:
My guess is x^5+x^4-X+7
Answer:
(F ° G)(x) = x⁶ + 16x⁴ + 84x² + 147
Step-by-step explanation:
Assuming that (FG)(x) = F ° G (x) = F(G(x))(F ° G) (x) = f(g(x)) = (x² + 5)³ + (x² + 5)² – (x² + 5) + 2
_________________________________
(a + b)³ = a³ + 3a²b + 3ab² + b³
(a + b)² = a² + 2ab + b²
_________________________________
(F ° G) (x) =
((x²)³ + 3(x²)²(5) + 3(x²)(5)² + (5)³) + ((x²)² + 2(x²)(5) + (5)²) + (-x² – 5) + 2 =
(x⁶ + 15x⁴ + 75x² + 125) + (x⁴ + 10x² + 25) + (-x² – 5) + (2) =
x⁶ + 16x⁴ + 84x² + 147
8X=35
WHAT IS THE VALUE FOR X THAT MAKES THE EQUATION TRUE?
Answers
Answer:
x= 35/8 or 4 3/8
Step-by-step explanation:
8X=35
/8 /8
x= 35/8
x= 4 3/8
Solve for x.
One side = 10
Another side = 9
One side = x
(It's a right triangle.)
Answers
Answer:
x = 4.3588989435406
I hope it's helps you
Can someone help me with this problem? Its due today plz i need help! I will give brainlist if it is right!
Answers
Answer:
A (-4,0), B (0,3) and C (-6,5)
Step-by-step explanation:
The coordinates for A are (-4,-3) B (0,0) and C (-6,2)
From there just add 3 to all theY values
The coordinates of the translated triangle would be A (-4,0), B (0,3) and C (-6,5)
Hope that helps!
9. a) In a school of 800 students, 5/8 are boys and rest girls.
1) Find the number of boys and girls.
2) Find the percentage of boys and girls.
Answers
A.) we know,
=》
[tex] \dfrac{5}{8} \: \: of \: total \: students \: = boys[/tex]
=》
[tex] \dfrac{5}{8} \times 800 [/tex]
=》
[tex]5 \times 100[/tex]
=》
[tex]500 \: \: boys[/tex]
now,
number of girls :
=》
[tex]800 - 500[/tex]
=》
[tex]300 \: girls[/tex]
Answer:
There are 500 boys and 800 girls
I hope it helps
have a nice day
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# 캡틴 파워
#Captainpower
Baking flour mixture was made by combining 4 ounces of bleached flour which costs $8 per
ounce with 16 ounces of unbleached flour which costs $3 per ounce. What is the cost per ounce
of the mixture?
Answers
4 ounces x $8 per ounce = $32
16 ounces x $3 per ounce = $48
4 ounces + 16 ounces = 20 total ounces
$32 + $48 = $80 total cost
$80 / 20 ounces = $4 per ounce cost
A cylinder has a height of 17 inches and a radius of 8 inches what is the use π = 3.14 and round your answer to the nearest hundredth
Answers
Answer:
3418.05
Step-by-step explanation:
John wants to rent some office space for 8 years. The lease states that the annual rent is $62,000 for the first year and will increase by 4% each additional year of the lease. What will the total rent be for the entire 8-year lease? Round your answer to the nearest hundredth.
Group of answer choices
$496,000.00
$84,851.28
$571,282.03
$515,840.00
Answers
Answer:
The correct answer is $515,840.00
Step-by-step explanation:
Answer:
The total rent for the entire 8-year lease to the nearest hundredth is $84,851.28.
Step-by-step explanation:
The increment is 4% each year.
What is increment?
Increment is the amount or degree by which something changes especially the amount of positive or negative change in the value of one or more of a set of variables.
What is lease?
A lease is a legal, binding contract outlining the terms under which one party agrees to rent property owned by another party.
What is hundredth?
In arithmetic, a hundredth is a single part of something that has been divided equally into a hundred parts.
We use the formula,
[tex]A=P(1+\frac{R}{100})^{n}[/tex]
[tex]=62000(1+\frac{4}{100}))^{8} \\=62000(\frac{104}{100})^{8}\\ =84851.28[/tex]
The total rent for the entire 8-year lease to the nearest hundredth is $84851.28.
To know more about lease, hundredth, increment here
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