Ask question

Ask question

All categories

2 years ago

14

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

1 answer:

LenKa [72]2 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

If the length of a rectangle is increased by 120%, and its width is decreased by 20%, what is the percentage change in the area

velikii [3]

Answer:

The area of the rectangle is increased in 76 percent.

Step-by-step explanation:

The area of a rectangle ( $A$ ) is represented by the following formula:

$A = w\cdot l$

Where:

$w$ - Width.

$l$ - Length.

If length is increased by 120 %and width is decreased by 20 %, the percentage change in the area of the rectangle is: ( $l = 2.2\cdot l_{o}$ , $w = 0.8\cdot w_{o}$ )

$A = (2.2\cdot l_{o})\cdot (0.8\cdot w_{o})$

$A = (2.2)\cdot (0.8)\cdot w_{o}\cdot l_{o}$

$A = 1.76\cdot A_{o}$

The area of the rectangle is increased in 76 percent.

6 0

2 years ago

Kim is creating a mosaic in her garden. She finds the tile below and wants to know the missing side length ‘x’. Calculate the mi

GrogVix [38]

Answer:

x = 7.99 cm

Step-by-step explanation:

By applying cosine rule in the given triangle,

AC² = AB² + BC² - 2(AB)(AC)cosC

Substitute the measures of the sides and the angle in this formula,

x² = 6² + 10² - 2(6)(10)cos(53°)

x² = 36 + 100 - 72.217

x² = 63.782

x = √(63.782)

x = 7.99 cm

8 0

2 years ago

You purchased $132.49 worth of wheels and bearings for your skateboards. The shop charges $15 per board to install them. The tot

Mila [183]

4 skateborards will be repaired

4 0

2 years ago

Which one should I choose?

Nastasia [14]

Given:

A figure of a quadrilateral.

To find:

The measures of angle 1 and angle 2.

Solution:

The given figure has two pairs of congruent adjacent sides. So, the quadrilateral in the figure is a kite.

We know that the diagonals of a kit are perpendicular to each other at the point of intersection.

$m\angle 1=90^\circ$

According to the angle sum property, the sum of all interior angles of a triangle is 180 degrees.

$90^\circ+65^\circ+m\angle 2=180^\circ$

$155^\circ+m\angle 2=180^\circ$

$m\angle 2=180^\circ-155^\circ$

$m\angle 2=25^\circ$

Therefore, the correct option is C.

7 0

2 years ago

PLEASE HALP I GIVE OUT BRAINLIEST

jekas [21]

Since there is two negative signs in the original equation, you need two negative signs in the equivalent one as well.

Because one of the negatives if before the fraction, it doesn't matter if the second negative is on the 13 or on the 12.

The answer is A.

4 0

2 years ago

Read 2 more answers