Find x and y
Show all the work
Answer:
x=27°
y=4 units
Step-by-step explanation:
To find x:
The sum of all the angles in a quadrilateral is 360°. In a rhombus (you know it's a rhombus because it's a quatrilateral where all the sides are congruent), opposite angles are congruent. Because you're given that the measure of ∠T is 127°, you also know that m∠V=127°. You also know that m∠U=m∠S=(2x-1)°.
Using this information, set up an equation.
127+127+(2x-1)+(2x-1)=360
You can just divide both sides by 2 to get:
127+(2x-1)=180
Then, just solve for x.
127+2x-1=180
2x+126=180
2x=54
x=27°
To find y:
All the sides are given to be congruent. That's what the little marks on the sides mean, and that's how we knew it was a rhombus earlier.
So SV=VU=UT=TS
SV=6y-5
VU=3y+7
Since SV=VU:
6y-5=3y+7
Solve for y.
3y=12
y=4
Hope I could help!
Can someone help me on this plzzz
Answer:
b=15
How I got it:
32 + (7x4) = 32 + 28 = 60
60 divided by 4 = 15
Checking:
15 - 7 = 8
8 x 4 = 32
32 = 32
You can tell b = 15 is the correct answer.
PLEASE DONT WASTE MY POINTS ITS THE 5TH TIME POSTING
An economist calculates that the cost of living in Westminster is currently $44,000 per year and is increasing by 5% per year. What will the cost of living be in 20 years? Round to the nearest cent.
Given:
Initial cost of living = $44,000
Rate of increase = 5% = 0.05
To find:
The cost of living in 20 years.
Solution:
The exponential growth model is:
[tex]y=a(1+r)^t[/tex]
Where, a is the initial value, r is the growth rate and t is the number of years.
Putting [tex]a=44000,r=0.05, t=20[/tex] in the above model, we get
[tex]y=44000(1+0.05)^{20}[/tex]
[tex]y=44000(1.05)^{20}[/tex]
[tex]y=116745.099026 [/tex]
[tex]y\approx 116745.10 [/tex]
Therefore, the cost of living in 20 years is about $116745.10.
Estimate the values to complete the table.
Answer:
Step-by-step explanation:
For angle C,
cos(∠C) = [tex]\frac{\text{Adjacent side}}{\text{Hypotenuse}}[/tex] = 0.97
sin(∠C) = [tex]\frac{\text{Opposite side}}{\text{Hypotenuse}}[/tex] = 0.26
tan(∠C) = [tex]\frac{\text{Adjacent side}}{\text{Adjacent side}}[/tex] = 0.27
Therefore, from the triangle ABC,
cos(∠A) = cos(90° - ∠C)
= sin(∠C)
= 0.26
sin(∠A) = sin(90 - ∠A)
= cos(∠A)
= 0.97
tan(∠A) = [tex]\frac{\text{sinA}}{\text{cosA}}=\frac{0.97}{0.26}[/tex]
= 3.73
Angle [tex]\frac{\text{Adjacent side}}{\text{Hypotenuse}}[/tex] [tex]\frac{\text{Opposite side}}{\text{Hypotenuse}}[/tex] [tex]\frac{\text{Opposite side}}{\text{Adjacent side}}[/tex]
A 0.26 0.97 3.73
what power do I need to raise both sides of the following equation to? x^4=81
Answer:
Rise it to 2
( x ^2 ) ^2 − 9 ^2 = 0
Step-by-step explanation:
A graph of is shown on the grid.
What are the zeros of f?
Answer:
no graph is provided, the zeros of f cannot be found without a graph
Step-by-step explanation:
Find the area of the following shapes.
Area of small rectange = 7 cm × 4 cm = 28 cm sq
Area of bigger rectangle = 4cm×10 cm = 40 cm sq
Area of traingle = 1/2 × 8*3 cm sq = 12 cm sq
total area of polygon = ( 28 + 40 + 12 ) cm sq
area of polygon = 80 cm sq
write an equation of the line in slope-intercept form of each line given slope and y intercept m=2;b2
Answer:
[tex]y = 2x + 2[/tex]
Step-by-step explanation:
Given
[tex]m = 2[/tex]
[tex]b = 2[/tex]
Required
Write equation in slope intercept form
An equation in slope intercept form is:
[tex]y = mx + b[/tex]
Substitute values for m and b
[tex]y = 2x + 2[/tex]
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Please help me i dont understand this
Answer:
209.3
Step-by-step explanation:
V=πr^2h / 3
= 3.14 x 25 x 8 /3
= 209.3
i have no idea what to do, someone pleasehelp.. please just give the straight forward equation and answer. thank you, 33 points to whoever does it
Answer:
Coordinates (1,6)
Equation x=1
Step-by-step explanation:
Center of highest point is 1 on the x and 6 on the y
Which expression is equivalent to2(t-4)+1
Answer:
2t-7
Step-by-step explanation:
2(t-4)+1
2t -8+1
2t - 7
Two people start biking from the same point. One heads east at 13 mph, the other south at 18 mph. What is the rate at which the distance between the two people is changing after 25 minutes and after 35 minutes? What is the rate at which the distance between the two people is changing after 25 minutes?
Answer:
[tex]22.21\ \text{mph}[/tex]
[tex]22.2\ \text{mph}[/tex]
Step-by-step explanation:
[tex]\dfrac{da}{dt}=13\ \text{mph}[/tex]
[tex]\dfrac{db}{dt}=18\ \text{mph}[/tex]
[tex]\dfrac{dc}{dt}[/tex] = Rate at which the distance between the two people is changing
At 25 minutes
[tex]a=13\times \dfrac{25}{60}=5.417\ \text{miles}[/tex]
[tex]b=18\times \dfrac{25}{60}=7.5\ \text{miles}[/tex]
[tex]c=\sqrt{5.417^2+7.5^2}\\\Rightarrow c=9.25\ \text{miles}[/tex]
Distance between the two people is
[tex]c^2=a^2+b^2[/tex]
Differentiating with respect to time we get
[tex]c\dfrac{dc}{dt}=a\dfrac{da}{dt}+b\dfrac{db}{dt}\\\Rightarrow \dfrac{dc}{dt}=\dfrac{a\dfrac{da}{dt}+b\dfrac{db}{dt}}{c}\\\Rightarrow \dfrac{dc}{dt}=\dfrac{5.417\times 13+7.5\times 18}{9.25}\\\Rightarrow \dfrac{dc}{dt}=22.21\ \text{mph}[/tex]
Distance between the two people is changing at a rate of [tex]22.21\ \text{mph}[/tex].
At 35 minutes
[tex]a=13\times \dfrac{35}{60}=7.583\ \text{miles}[/tex]
[tex]b=18\times \dfrac{35}{60}=10.5\ \text{miles}[/tex]
[tex]c=\sqrt{7.583^2+10.5^2}\\\Rightarrow c=12.95\ \text{miles}[/tex]
Distance between the two people is
[tex]c^2=a^2+b^2[/tex]
Differentiating with respect to time we get
[tex]c\dfrac{dc}{dt}=a\dfrac{da}{dt}+b\dfrac{db}{dt}\\\Rightarrow \dfrac{dc}{dt}=\dfrac{a\dfrac{da}{dt}+b\dfrac{db}{dt}}{c}\\\Rightarrow \dfrac{dc}{dt}=\dfrac{7.583\times 13+10.5\times 18}{12.95}\\\Rightarrow \dfrac{dc}{dt}=22.2\ \text{mph}[/tex]
Distance between the two people is changing at a rate of [tex]22.2\ \text{mph}[/tex].
What are the solutions to the quadratic equation 2x2 - 8x-24 = 0?
A. X = -2 and x = 6
B. X=-3 and x = 8
C. X= -6 and x = 4
D. x= -4 and x = 6
Answer:
it is A . I hope its helpful
If p=9 and q=30, evaluate the following expression:p−q/3
Answer:
-1
Step-by-step explanation:
p = 9
q = 30
p - q/3
9 - 30/3
9 - 10
-1
The area of the rectangle below is 18 square units. What is the width of the rectangle? Write and solve a division equation to find the width of the rectangle.
Answer:
24/5 or 4 and 4/5
Step-by-step explanation:
3 and 3/4=15/4
18 divided by 15/4=4 and 4/5
4 and 4/5=24/5
24/5 times 15/4=18
Answer:
I agree with the person above but I'm not so sure.
Find the area of the smaller sector.
brainlest
Answer:
44.68 m²
Step-by-step explanation:
Area of a sector = θ/360*πr²
Where,
θ = 80°
r = 8 m
Plug in the values into the equation
Area of the sector = 80/360*π*8²
= 44.6804288 ≈ 44.68 m² (nearest hundredth)
Vertical lines have _________ slope.
I thought I could do this myself but failed, can someone please help me answer this and show work so I can know what to do for future reference. I would like to complete this seeing how this is my last question of the week.
Answer:
area: 1070
perimeter: 434 units
Step-by-step explanation:
area:
- use pythagoream theorem to find the height, which is gonna be 84
- from there, you're gonna wanna find the area of the rectangle and then the two triangles. the way i do it is by just finding the area of the rectangle first, 100x84 = 8400, and then finding the area of the triangles (35x84/2 = 1470 and 20x84/2 = 840)
- you have the area of all shapes, now just add them together (8400+1470+840 = 10710)
perimeter:
just add all the lengths given together.
Thank you to anyone who answers .
Answer:
last one
Step-by-step explanation:
what is the equivalent ratio for 3:4
Answer:
A ratio of 1/2 can be entered into the equivalent ratio calculator as 1:2. 2/10 would be 2:10, 3/4 would be 3:4 and so on.
What is the arc length of the shaded region of the circle to the newest centimeter?
You have 7 donuts to share evenly among you and your three brothers. Which equation describes how many donuts each of you will receive? Choose 1 answer: Choose 1 answer: 7÷4= 7/4 7÷3=7/3 3÷7=3/7 4÷7=4/7
Answer:
7/3
Step-by-step explanation:
Since you have seven donuts to share with three brothers, you can calculate that each one of you will get 2 donuts and there will be a spare one left. You know that you also have to share that one so you split it into thirds. 7/3 = 2 1/3
Hope I helped!
Brainliest? :o
Keywords: donuts, donut, brother, equation, receive
Find the Mean absolute deviation
45, 60,55, 20,15,10,30
Answer:
The mean is 30
Solve the equation: 5.4 -7.5 -6.3 = Solve the equation:
The answer would be -8.4.
Answer:
[tex]5.4 - 7.5 - 6.3 = 5.4 - 13.8 \\ = - 8.4[/tex]
write 20.5×10^-5 in standard form. please help
Answer:
the answer is 2.05×10^-4
How does the value of the digit 3 in the number 63,297 compare to the value of the digit 3 in the number 60,325? Be sure to include what you know about the place value in your answer. How does the value of the digit 3 in the number 63,297 compare to the value of the digit 3 in the number 60,325? Be sure to include what you know about the place value in your answer.
Answer: See explanation
Step-by-step explanation:
The value of the digit 3 in the number 63,297 is 3,000 while the value of the digit 3 in the number 60,325 is 300.
The difference between value of the digit 3 in the number 63,297 and the value of the digit 3 in the number 60,325 will be:
= 3000 - 300
= 2700
Jack invested $2,900 in an account paying an interest rate of 8 % compounded
annually. Anthony invested $2,900 in an account paying an interest rate of 82%
compounded continuously. After 10 years, how much more money would Anthony
have in his account than Jack, to the nearest dollar?
Answer: $628
Step-by-step explanation:
Determine which equation has the same solutions as the given equation.
x – 10k- 11=0
O A. (x-10)2 = 36
B. (x - 10)2 = 21
OC. (x - 5)2 = 21
OD. (x - 5)2 = 36
Answer:
D
Step-by-step explanation:
Ms. Nelson has 8 pounds of ground beef. She is making burgers that are ¼ pound each.
Answer:
she will make 32 burger patties.
One way:
8 x 4 = 32
the fraction will get reversed so it turns to 4.
Second way(basically the same as the first way):
8 divided by 1/4 = 8 x 4= 32
You just have to divide 8 by 1/4. The fraction gets reversed in divisions so it turns to 4.
Answer:
ok the answer is...
Step-by-step explanation:
32!!
the reason for this is because 1/4 + 1/4 + 1/4 + 1/4 = 4!
so do that again all over again 8 times and you have your answer.