Answer:
1) measure angle T= 72, measure angle U=54
2)measure angle M=76, measure angle N=76
3)EF= 18 inches, measure angle F=134
4)measure angle P,Q,R= 60
Step-by-step explanation:
parallelogram ABCD with vertices A(6,8) B(10,9) C(9,3) and D(5,2): 90 counterclockwise rotation about P(4,1)
A ( , )
B ( , )
C ( , )
D ( , )
Answer:
A(-3 , 3) B(-4 , 7) C(2 , 6) D(3 , 2)
Step-by-step explanation:
Rotation of the parallelogram about the point P(4, 1), is done by taking
point P as the origin, and using relative coordinates for the rotation.
[tex]\underline{A(-3, \, 3)}[/tex][tex]\underline{B(-4, \, 7)}[/tex][tex]\underline{C(2, \, 6)}[/tex][tex]\underline{D(3, \, 2)}[/tex]Reasons:
The given parameters are;
Vertices of the parallelogram ABCD are;
A(6, 8), B(10, 9), C(9, 3) and D(5, 2)
Point about the parallelogram is rotated = P(4, 1)
Angle of rotation = 90°
Direction of rotation = Counterclockwise
90° rotation counterclockwise of (x, y) about the origin gives → (-y, x)
Therefore, we have;
The given points relative to the point P are;
A'(6-4, 8 - 1) = A'(2, 7)
B'(10 - 4, 9 - 1) = B'(6, 8)
C'(9 - 4, 3 - 1) = C'(5, 2)
D'(5 - 4, 2 - 1) = D'(1, 1)
Therefore, we get;
A'(2, 7) [tex]\underrightarrow {R_{180^{\circ}}}[/tex] A''(-7, 2)
B'(6, 8) [tex]\underrightarrow {R_{180^{\circ}}}[/tex] B''(-8, 6)
C'(5, 2) [tex]\underrightarrow {R_{180^{\circ}}}[/tex] C''(-2, 5)
D'(1, 1) [tex]\underrightarrow {R_{180^{\circ}}}[/tex] D''(-1, 1)
Which then gives;
The image location are;
A(-7 + 4, 2 + 1) = A(-3, 3)
B''(-8 + 4, 6 + 1) = B(-4, 7)
C''(-2 + 4, 5 + 1) = C(2, 6)
D''(-1 + 4, 1 + 1) = D(3, 2)
Therefore, we have;
A(-3, 3), B(-4, 7), C(2, 6), and D(3, 2)
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2(y−1)+6y = −10
Solve as Y=?
Answer:
0.111 hope that helps you
find the value of x
Two people wrote a book together. They agreed to share the royalties so that the senior author received twice as much as the
junior author. What is each author's share of a $2400 royalty check?
Answer:
Junior author = $800
Senior author = $1600
Step-by-step explanation:
The check is split between the senior author and junior author in the ratio of 2:1
2:1 = $2400
Add the ratios together:
2 + 1 = 3
3 parts = $2400
Find one part of the total check by dividing both sides by 3:
1 part = $800
The junior author would get $800, and the senior author would get double, $16007 pls pls pls help meeee!
...
PLEASE HELP!!
What is the equation of the line —3x – 2y = 30 in slope-intercept form?
I believe the first answer shown in the picture because y= mx + b so it's y=3x+30
hope this helps!
Which point is the vertex?
C
B
A
None of the above
Answer:
B
Step-by-step explanation:
Hope this helps you out! :)
Please help I really need help.
Sarah has $31,000 in a savings account. The interest rate is 8% per year. How much simple interest will she earn in 5 years?
Answer:
$12,400
Step-by-step explanation:
Interest = Principal x Rate x Time (in years)
I = 31000 x .08 x 5
I = 12,400
A dump truck can hold 2¼ tons of gravel. The pay loader loading the truck puts 750 pounds of gravel in the truck at one time. How many loads does the pay loader need to dump in the truck before it is full?
Answer:
6 loads would be required to fill the truck with 2¼ tons
Step-by-step explanation:
1 ton= 2000 pounds
2¼ tons= 4500 pounds
4500/750=6
Please allow me to know this helped by clicking thank you, rating or brainly.
Thank you,
Miss Hawaii
Answer:
6 loads
Step-by-step explanation:
3 x 100 + 5 x 10 +6⋅1 + 8 x .1 + 2 x .01
100 points AND crown to right answer
PLEASE HELP what is the next term what is A in the sequence and what is the common ratio for 2 4 8 16 32
Answer:
The next term is 64, a is 2, and the common ratio is 2.
Step-by-step explanation:
Look at what's happening from each number to the next. What do you need to do to get from 2 to 4, or 4 to 8? Multiply by 2. That's your common ratio. To get the next number in the sequence, multiply the last number by the common ratio of 2. 32 x 2 = 64, so the next number in the sequence is 64. "a" is just the very first term, meaning it's 2.
This is a 30-60-90 triangle.
What is the measure of x?
18
X
X
x = 9V [?]
Answer:
[tex] \huge\: x =9 \sqrt{ \boxed{3}} [/tex]
Step-by-step explanation:
Given is a 30°-60°-90° triangle and x is the length of side opposite to 60° angle.
[tex] \therefore \: x = \frac{ \sqrt{3} }{2} \times 18 \\ \\ \therefore \: x = \sqrt{3} \times 9 \\ \\ \huge\therefore \: x =9 \sqrt{ \boxed{3}} [/tex]
Answer:
3
Step-by-step explanation:
please help!
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Please provide the answer for the x and z as seen in the image
A hardware dealer has 168kg of nails, if one nail weighs 0.25kg, how many nails he have?
Answer:
He has 672 nails
Step-by-step explanation:
168/.25
Answer:
He has 672 nails.
Step-by-step explanation:
Weight of all nails=168
Weight of a nail=0 .25
Then,
Number of nails=168/0.25
=672
A truck can cover 126km in 12 hours.Find the distance
covered by the truck in 8 hours.
Answer:
[tex] |v| = \frac{d}{t} \\ |v| = \frac{126km}{12hr} = 10.5km. {hr}^{ - 1} \\ d = |v| \times t\\ d = 10.5km. {hr}^{ - 1} \times 8hr \\ \boxed{d = 84km}[/tex]
A car is traveling at a rate of 99 kilometers per hour. What is the car's rate in kilometers per minute? How many kilometers will the car travel in 15 minutes? Do not round your answers.
Answer:
it is going 1.65 kilometers per minute and it will travel 24.75 kilometers in 15 minutes
Step-by-step explanation:
What is the decimal equivalent of 2
- ?
3
Answer:
.666
Step-by-step explanation:
Multiply (x + 2y)(x2 − xy + 3y).
Answer:
[tex] {x}^{3} + {x}^{2} y + 3xy - 2x {y}^{2} + 6 {y}^{2} [/tex]
given the graphs of f and g below, find the following. give the exact if defined.
Answer:
looks like your understanding is pretty good! I'm not sure how you missed the first 2... you should check those two against your understanding.
Step-by-step explanation:
a) 2
b) 1
can somebody please help me with this, also show work so that way i can copy because this is due tmr and i have no clue how to do this at all, thank you so much! (also its 8th grade math)
Use the given figure to complete the statement below. is the bisector of ∠COA.
Answer:
45
Step-by-step explanation:
Which of the following best describes the line passing through (0, 1) with a slope of
-1/2?
Answer:
I would say A,B, or D
Step-by-step explanation:
if 0
prove:
a) a³
what is the answer?
I think you meant, if a = 0.
If a = 0, then,
a³ = 0³
a³ = 0 × 0 × 0
a³ = 0
Any number multiplied by 0 is 0.HELP HELP! Will give brainliest
Answer:
2347897876 my number
Step-by-step explanation:
Pls HelP Me ASAP!~!~!~!
Describe and correct the error
|-13|-|13|
=-13-13
=-26
Answer:
The error is that the question equals -13-13.
Step-by-step explanation:
This is absolute value, so anything inside of the bars is positive. Since the first -13 has bars around it it would be positive. But since the second - is outside of the 13 with bars, the 13 stays negative, so it would be 13-13. Hope this helps! :)
Does anyone know this please!!?!?
Answer:
5)3/2
6) 7
7)16
8)13
9)27
10)17
Step-by-step explanation:
5) 4x+3=10x-1
x=3/2
6)9x-25=38
x=7
7)5x-7=
Create a right triangle, in which A is the right angle, and mZC is approximately 60°. What is the approximate measure of _B? m_B = What is the sum of m_A, m_B, and m_C?
Answer:
The answer would be 30 the second one is 180
mark me brainlyest plz
Solve each system of linear equations using the elimination mehod
-8x + 10y = -22
8x - 15y = 17
Answer: y = 1 and x = 4
Step-by-step explanation:
-8x + 10y = -22
8x - 15y = 17
-----------------------
- 5y = -5 Add the two equations to eliminate x
y = 1 Solve for y
=====
8x - 15y = 17 (y = 1) Use y=1 in either equation
8x - 15 = 17
8x = 32
x = 4 Ta da
Answer:
solution: x = 4, y = 1 or (4, 1)
Step-by-step explanation:
To solve the system of linear equations using the elimination method, simply add both equations together (since the coefficeints of x have opposite signs):
-8x + 10y = -22
+ 8x - 15y = 17
- 5y = -5
Divide both sides by -5 to solve for y:
[tex]\frac{-5y}{-5} = \frac{-5}{-5}[/tex]
y = 1
Next, substitute the value of y into one of the equations to solve for x:
-8x + 10y = -22
-8x + 10(1) = -22
-8x + 10 = -22
Subtract 10 from both sides
-8x + 10 - 10 = -22 - 10
-8x = -32
Divide both sides by -8 to solve for x:
[tex]\frac{-8x}{-8} = \frac{-32}{-8}[/tex]
x = 4
Therefore, the solutions to the given systems of linear equations are: x = 4, y = 1 or (4, 1).