6
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:
https://brainly.com/question/25950519
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Related Questions
find the product of 11 and -2
Answers
Answer:
-22
Step-by-step explanation:
Hope that helped!
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
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Answer:
Im not 100% sure but i believe its M6?
Step-by-step explanation:
can someone help me?
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Answer:
I hope this helps!
Step-by-step explanation:
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so
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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?
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Answers
Answer:
78
Step-by-step explanation:
do 9 x 8= 72
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subtract (5z^6-3v)-(-3z^6)
Answers
Answer:
[tex]8z^6-3v[/tex]
Step-by-step explanation:
A relation is
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Answer:
A relation between two sets is a collection of ordered pairs containing one object from each set.
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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)
What is the key thing you have to remember when multiplying or dividing by a negative number in inequalities?
Answers
Answer: You must switch the direction of the sign
Step-by-step explanation: When multiplying or dividing by a negative number, the signs reverse.
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Answer:
Ye you got it right
Step-by-step explanation:not that hard
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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!!
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A book weighing 1.0 newton is lifted 2 meters. How much work was done?
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Power= work/time or power= (force × distance)/time
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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:
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What is an equation in slope-intercept form of the line that passes through (6, -7) and is perpendicular to the line shown below?
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Answer:
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Step-by-step explanation:
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Saba and Hena saved up Rs. 81.75 and Rs 45.25 respectively to buy a gift for
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Rachel's school play started at 9:20 AM.
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Answer:
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Find the slope of the linear function that passes through the points (−1, 5) and (8, 11).
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Answer:
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Step-by-step explanation:
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Answer:
can u make a new one because i have a to download the pdf and go back and fourth
Step-by-step explanation:
Answer:
Yes
Step-by-step explanation:
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.
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°}
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{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).
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Answers
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Answers
Answer:
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Step-by-step explanation:
Answer:
m= 9/5
Step-by-step explanation:
What is the image point of (-1,1)(−1,1) after a translation right 2 units and down 1 unit?
Answers
Answer:
it should be (1,0) (1,0) but make sure cuz im learning this right now and im not the best at it, heres my notes if u want them
Step-by-step explanation:
lol this took me forever to upload my notes
May someone tell me what the value of x is ?
Answers
Answer:
maybe 11? because it says to Subtract the sum of the two angles from 180 degrees. The sum of all the angles of a triangle always equals 180 degrees. Write down the difference you found when subtracting the sum of the two angles from 180 degrees. This is the value of X.
Step-by-step explanation:
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
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Answer:
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Step-by-step explanation:
So how are 1/2 and 4/8 Similar?
Answers
Answer:They both equal 1 half
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Answer:
1/2 is 4/8. 1/2 is just 4/8 but simplified. So 12/36 simplified is 1/3, 24/48 is 1/2
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
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Now the formula is as follows
= (Future value × rate of interest) ÷ (1 + rate of interest)^time period - 1
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= $50,000 ÷ 1.0975675791
= $45,555
Hence, the amount of each deposit is $45,555
Tina's Jack Russell weighed 19.5 pounds. This week, her dog weighed 21.8 pounds. Find the percent of change in the weight of her dog?
Answers
Answer:
90%
Step-by-step explanation:
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Answers
Answer:
B
Step-by-step explanation:
Which equation represents the line that passes through (2, -1) and is
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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),
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