Answer:
PR = 8
ST = 5
Please read the explanation below so next time you can do it yourself instead of resorting to an online answers forum. Enjoy~
Step-by-step explanation:
In the left side triangle, I know that triangles PQS and PRS are congruent, so PQ and PR measures must be equivalent.
This is because of SAS (Side Angle Side) theorem. The marked congruent sides (QS and RS), the right angle, and the shared side PS make the triangles congruent.
Using CPCTC (Corresponding Parts of Congruent Triangles are Congruent), PQ and PR are congruent, and therefore PR is 8.
Moving on to triangle on the right side. The triangles VST and VUT are congruent by AAS theorem (Angle Angle Side).
Using CPCTC again, ST and UT are congruent. This makes the equation:
5z = 2z+3
Easy Algebra from here. -2z both sides, making:
3z = 3
Then divide:
z = 1
Plug in z and now you got:
ST and UT = 5
There you go! Not sure if you read this but eh. You're welcome :)
Answer:
it would be point A if there is a point A
Answer:
C
Step-by-step explanation:
Plug 1, 2, and 3 into n and you'll get 15, 13, and 11 respectively
Answer:
Number 9 was removed
PS: Please give me brainly if im correct!
1) The sculptor created a marble basin with an approximate volume of 94,509.6 cubic centimeters - Option D, 2) The approximate area of the heart-shaped cake is 283 square inches - Option B, 3) The length of the wooden frame around the window is 94.3 inches - Option B.
In this question we should make use of geometric formulas for volumes and areas and key information from statement in order to find the right choices.
1) In this case, the volume occupied by the marble water basin (), in cubic centimeters, by subtracting the volume of the hemisphere from the volume of the cylinder:
(1)
Where:
- - Radius of the cylinder, in centimeters.
- - Height of the cylinder, in centimeters.
- - Radius of the cylinder, in centimeters.
If we know that , and , then the volume of the marble is:
The right choice is D.
2) To determine the approximate surface area of the cake covered in red frosting (), in square inches, we need to find the sum of the surface area of the entire circle and the surface area of the square:
(2)
Where:
- - Side length of the square, in inches.
- - Height of the cakes, in inches.
- - Diameter of the cakes, in inches.
If we know that , and , then the <em>approximate</em> area covered in red frosting:
The right choice is B.
3) The frame around the window is found by means of the following perimeter formula (), in inches:
(3)
Where:
- - Radius, in inches.
- - Height of the rectangle, in inches.
If we know that and , then the length of the frame around the window is:
The right choice is B.
We kindly invite to see question on volumes: brainly.com/question/1578538