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a The diagonals of a rectangle intersect at 76°
Find the angle that a diagonal makes with a longer side of the rectangle.
b The diagonals of a rectangle intersect at xº.
Find the angle that a diagonal makes with a longer side of the rectangle.
Answers
Explanation: A diagonal of a rectangle cuts the rectangle into 2 right triangles with sides equal to the sides of the rectangle and with a hypotenuse that is the diagonal. All you need to do is use the pythagorean theorem: where a and b are the sides of the rectangle and c is the length of the diagonal.
The angle that a diagonal makes with a longer side of the rectangle is 38°.
The angle that a diagonal makes with a longer side of the rectangle is (x/2)°.
What is a triangle?It is a two-dimensional figure which has three sides and the sum of the three angles is equal to 180 degrees.
We have,
a)
The diagonals of a rectangle intersect at 76°.
This means,
From the figure Triangle AOB.
AOB + OAB + OBA = 180
(180 - 76) + x + x = 180
2x = 180 - 180 + 76
2x = 76
x = 38
This means,
The angle with the longer side of the rectangle is 38.
b)
Similarly,
The diagonals of a rectangle intersect at xº.
This means,
AOB + OAB + OBA = 180
(180 - x) + y + y = 180
2y = 180 - 180 + x
2y = x
y = x/2
This means,
The angle with the longer side of the rectangle is x/2.
Thus,
The angle with the longer side of the rectangle is 38°.
The angle with the longer side of the rectangle is (x/2)°.
Learn more about triangles here:
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Related Questions
I don’t know the answer Someone pls help
Answers
Answer:
Ye you got it right
Step-by-step explanation:not that hard
ITS RIGHT
Answer:
Step-by-step explanation:
4 x 7/8 = 28/8 or 3 4/8 or 3 1/2
(4x7=28)
Denominator stays the same.
You totally got it right!! Don't doubt yourself!!
Wyatt is going to a carnival that has games and rides. Each game costs $1.25 and each ride costs $2.75. Wyatt spent $20.25 altogether at the carnival and the number of rides he went on is twice the number of games he played. Determine the number of games Wyatt played and the number of rides Wyatt went on.
Answers
Answer:
Wyatt played 3 games and went on 6 Rides
Step-by-step explanation:
Let games be represented as x
Let ride be represented as y
Each game cost $1.25
Each ride cost $2.75
Total money spent by Wyatt= $20.25
x1.25 + y2.75 = 20.25 ..... Equation 1
the number of rides he went on is twice the number of games he played
Y= 2x ... Equation 2
Substituting the value of y into equation 1
x1.25 + y2.75 = 20.25
x1.25 + 2(x)2.75 = 20.25
x1.25 + x5.5 = 20.25
x6.75= 20.25
x= 20.25/6.75
X= 3
Y= 2x
Y= 2(3)
Y= 6
Wyatt played 3 games and went on 6 Rides
Find Slope the
of (-3,-1), (2,8)
Answers
Answer:
9/5
Step-by-step explanation:
Answer:
m= 9/5
Step-by-step explanation:
Rachel's school play started at 9:20 AM.
It lasted 2 hours and 10 minutes.
What time did the play end?
Answers
Answer:
11:30
learn how to count you bozo
can someone help me?
Answers
Answer:
I hope this helps!
Step-by-step explanation:
1. M is .25
b is 20
so
y= .25x+20
2. y= 3x+2
A sinking fund is established to discharge a debt of $20,000 in 15 years. If deposits are made at the end of each 6-month period and interest is paid at the rate of 5%, compounded semiannually, what is the amount of each deposit? (Round your answer to the nearest cent.)
Answers
Answer:
the amount of each deposit is $45,555
Step-by-step explanation:
The computation of the each deposit is shown below:
Given that
Future value be $20,000
Time period = 15 × 2 = 30
And, the rate = 5% ÷ 2 = 2.5%
Now the formula is as follows
= (Future value × rate of interest) ÷ (1 + rate of interest)^time period - 1
= ($20,000 × 2.5) ÷ (1 + 0.025)^30 - 1
= $50,000 ÷ 1.0975675791
= $45,555
Hence, the amount of each deposit is $45,555
27. Use Structure Use the table at the right. Yolanda is planning a party that will take place in three rooms. a. Write an expression that can be used to represent the total amount Yolanda will need to rent all three rooms and the sound system for t hours. b. How can you use a property to write a simplified equivalent expression?
Answers
Answer:
25t+95 or 5(5t + 19)
Step-by-step explanation:
The total of the sound fee = $25
The total of the rental fee = $95
Write is as an equation and you can get 25t + 95 or 5(5t + 19)
please help this is due at 12:20
Answers
Answer:
B
Step-by-step explanation:
The price of n tickets to a concert is is 9n + 6 dollars. What is the cost, in dollars, for 8 tickets to the play?
The cost for 8 tickets to the play is
Answers
Answer:
78
Step-by-step explanation:
do 9 x 8= 72
then 72 + 6= 78
A relation is
i don't know this answer somebody please help
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Answer:
A relation between two sets is a collection of ordered pairs containing one object from each set.
Which equation represents the line that passes through (2, -1) and is
perpendicular to the graph of y=-2x +1. (Please show all your work)
Answers
Answer:
y=(1/2)x-2
Step-by-step explanation:
Remember y=mx+b equation.
If is perpendicular to y=-2x+1 that has the slope -2, then the slope is negative reciprocal so is 1/2
Use the (x-x1)m= (y-y1) equation and the given point (2, -1),
so (x-2)1/2=(y+1); x-2=2y+2; 2y=x-2-2; 2y=x-4; y=(1/2)x-2
For what values of x is the trigonometric equation tan(x − 180°) − sin(x − 180°) = 0, where 0 ≤ x < 360°, true?
{0°, 90°}
{0°, 180°}
{90°, 180°}
{90°, 270°}
Answers
Answer:
It's the second option {0°, 180°}
Explanation:
Given a trigonometric equation in degrees where tan(x − 180°) − sin(x − 180°) = 0 .
Since this is multiple choice, you can use the process of elimination to get rid of the incorrect answers.
You can think of sin as the y or vertical component of a rotation, cos as the x or horizontal component of a rotation, and tangent as we know to be sin/cos. Remember, this rotation is oriented in the counterclockwise direction so it is going leftward starting at (1,0). We also know that 360° is a full rotation so the rotation rule for each interval of 90 degrees counter clockwise is 0° or 360° (x,y) → 90° (-y,x) → 180° (-x,-y) → 270° (y,-x).
So if sin(90°) is 1, cos must be 0 as (1,0) → (0,1) , which means tan is N/A (undefined) since 1/0 = N/A. And undefined + 1 ≠ 0 so anything with 90° is incorrect. That leaves us with the second option {0°, 180°} because it is the only one that excludes 90°.
The answer is B. {0°, 180°}
May someone tell me what the value of x is ?
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Answer:
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Step-by-step explanation:
subtract (5z^6-3v)-(-3z^6)
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Answer:
[tex]8z^6-3v[/tex]
Step-by-step explanation:
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Answer:
A
Step-by-step explanation:
it is y=-1/2x-4 for sure.
Given that the following statement is true
"If a shape is a polygon, then it is a closed figure."
Which of the following statements must also be true?
A. If a shape is a closed figure, then it is a polygon.
B. If a shape is not a polygon, then it is not a closed figure
C. If a shape is not a closed figure, then it is not a polygon
D. If the shape is not a polygon, then it is a closed figure.
Answers
Answer:
C IS THE ANS COS ALL POLYGONS ARE CLOSED AND IF IT NOT CLOSED IT NOT A POLYGON
Why would you need inequalities?
plz, help me write a paragraph answering this question ^^^
I really really need help
I will mark brainiest or whatever just plz plz plz help me
has to be at least 3 sentances
Answers
Answer:
An inequality is a mathematical expression that contains inequality signs. For example, y≤ 12x is an inequality. Inequalities are used to tell us that an expression is either larger or smaller than another expression. Equations and inequalities can contain both variables and constants.
Step-by-step explanation:
find the product of 11 and -2
Answers
Answer:
-22
Step-by-step explanation:
Hope that helped!
What is the key thing you have to remember when multiplying or dividing by a negative number in inequalities?
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Step-by-step explanation: When multiplying or dividing by a negative number, the signs reverse.
the bellah's pool is leaking. The pool leaked 3/4 gallon in 20 minutes, or 1/3 hour. how many gallon is the pool leaking each hour?
Answers
Answer:
9/4 gallons
Step-by-step explanation:
If the rate is 3/4 gallon per 1/3 of an hour, we need to figure out how to make the 1/3 into 1 hour.
Since it's 1/3, you have to multiply it by 3 to get 1. So, multiply 1/3 and 3/4 by 3:
The rate will be 3(3/4) gallons per 3(1/3) hour
The rate will be 9/4 gallons per 1 hour
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Answer:
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Step-by-step explanation:
Answer:
Yes
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Click on the PDF file link - your browser will automatically launch the Adobe Acrobat reader.
Click the download icon - usually located in the top left or right corner of the screen dependent on which version you have installed.
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Answer:
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Answer:
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Step-by-step explanation:
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Answer:
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Step-by-step explanation:
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Answer:
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Step-by-step explanation: