1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
mojhsa [17]
3 years ago
14

I need urgent help, I can't figure out this last question. PR=35, PT= 10x-1 solve for x

Mathematics
1 answer:
LenKa [72]3 years ago
5 0

9)

Answer:

X=37/20

Explanation:

In a kite, one of the diagonals will bisect the other. So, 2(PT)=PR

By substitution, this becomes the equation

2(10x-1)=35

20x-2=35

20x=37

x=37/20

10)

Answer:

Angle TQR is 52 degrees

Explanation:

A kite only bisects one set of opposite angles, so angle TQR is congruent to angle TQP. To find angle TQP use this equation:

Angle TPQ+Angle TQP=90

This is possible because angle QTP is right(diagonals of kites are perpendicular) and because all triangles have interior angles that add up to 180 degrees. The remaining amount of degrees apart from the right angle should be 90 degrees(180-90=90).

Substitute:

38+ angle TQP= 90

Angle TQP= 52 degrees

Angle TQP is congruent to angle TQR, so

Angle TQR=52 degrees

You might be interested in
What two simpler problem can you use to find 9×38?
elena55 [62]
Just a shot in the dark: 9*30 and 9*8?
8 0
3 years ago
Plzzzzz help right answer gets a brainly!
Ivenika [448]

Answer:

8

Step-by-step explanation:

16 divided by 8 equals 2 then 24 divided by 8 equals 3 Answer: 8

6 0
3 years ago
Pls help!!!!!!! plssss ahhhhhhhhhhh
Law Incorporation [45]

Answer:

ummmmm. I can not see the question...

3 0
3 years ago
Read 2 more answers
A store was selling lawn mowers for $69. The repair
Natali5045456 [20]

Answer:

$84.87

Step-by-step explanation:

The mover costs $69

23% of 69 is $15.87

add the two together to get $84.87

(or just multiply 69 by 1.23)

5 0
3 years ago
Read 2 more answers
A Norman window is a window with a semi-circle on top of regular rectangular window. (See the picture.) What should be the dimen
Vikki [24]

Answer:

bottom side (a) = 3.36 ft

lateral side (b) = 4.68 ft

Step-by-step explanation:

We have to maximize the area of the window, subject to a constraint in the perimeter of the window.

If we defined a as the bottom side, and b as the lateral side, we have the area defined as:

A=A_r+A_c/2=a\cdot b+\dfrac{\pi r^2}{2}=ab+\dfrac{\pi}{2}\left (\dfrac{a}{2}\right)^2=ab+\dfrac{\pi a^2}{8}

The restriction is that the perimeter have to be 12 ft at most:

P=(a+2b)+\dfrac{\pi a}{2}=2b+a+(\dfrac{\pi}{2}) a=2b+(1+\dfrac{\pi}{2})a=12

We can express b in function of a as:

2b+(1+\dfrac{\pi}{2})a=12\\\\\\2b=12-(1+\dfrac{\pi}{2})a\\\\\\b=6-\left(\dfrac{1}{2}+\dfrac{\pi}{4}\right)a

Then, the area become:

A=ab+\dfrac{\pi a^2}{8}=a(6-\left(\dfrac{1}{2}+\dfrac{\pi}{4}\right)a)+\dfrac{\pi a^2}{8}\\\\\\A=6a-\left(\dfrac{1}{2}+\dfrac{\pi}{4}\right)a^2+\dfrac{\pi a^2}{8}\\\\\\A=6a-\left(\dfrac{1}{2}+\dfrac{\pi}{4}-\dfrac{\pi}{8}\right)a^2\\\\\\A=6a-\left(\dfrac{1}{2}+\dfrac{\pi}{8}\right)a^2

To maximize the area, we derive and equal to zero:

\dfrac{dA}{da}=6-2\left(\dfrac{1}{2}+\dfrac{\pi}{8}\right )a=0\\\\\\6-(1-\pi/4)a=0\\\\a=\dfrac{6}{(1+\pi/4)}\approx6/1.78\approx 3.36

Then, b is:

b=6-\left(\dfrac{1}{2}+\dfrac{\pi}{4}\right)a\\\\\\b=6-0.393*3.36=6-1.32\\\\b=4.68

3 0
3 years ago
Other questions:
  • each face of cabinet 413S is in the shape of a rectangle. What is the volume of Model 413S in cubic feet? Dimension are 24 by 72
    14·1 answer
  • What is the common number between 1, and 100?
    6·1 answer
  • The bases of a right prism are parallelograms with length of one of its sides a=8.5 cm and altitude to that side ha = 4 cm. Find
    9·1 answer
  • The U.S. Center for Disease Control reports that the mean life expectancy was 47.6 years for whites born in 1900 and 33.0 years
    12·1 answer
  • What is 123 times 35?
    6·1 answer
  • I need help on my math
    10·1 answer
  • Can some help me please??? its confusing ​
    5·1 answer
  • Mr. custom is correcting the class's math homework on customary units. which of the following measurements is reasonable
    12·1 answer
  • What is the reciprocal of 3/2?<br><br> please text it and not upload a pic thank you
    14·1 answer
  • A number is equal to twice a smaller number plus 3. The same number is equal to twice the sum of the smaller number
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!