Answer: LP=15
Step-by-step explanation:
Ok triangle ΔNPL is congruent to ΔNML because they share side LN so side LN = LN
Angle LNP and LNM are right angles so they are congruent.
Sides PN and MN are marked congruent.
With that information we can use SAS to say those triangles are congruent.
This means that side LP=LM
so 10x-5=7x+1
Now we solve

Now we can sub in x to solve LP
10(2)-5
20-5
15
Answer:
ST = 23
RU = 8
SV = 5
SV = 10
Step-by-step explanation:
Use the knowledge of the properties of a kite to find the measure of ST, RU, SV, and SU as shown below:
✍️Recall: Each pair of adjacent sides of a kite are congruent/equal.
ST and TU are a pair of adjacent sides.
TU = 23
✅Therefore, ST = 23.
RU and RS are a pair of adjacent sides.
RS = 8
✅Therefore, RU = 8.
✍️ Recall: the longer diagonal of a kite bisects the shorter one. This means RT divides SU into two equal parts, namely SV and UV.
Since UV = 5, therefore,
✅SV = 5
SU = UV + SV
✅SV = 5 + 5 = 10
Hello! :)
<h2>Answer:</h2>
All of the following statements about the cone are true.
2.) The radius is 9 mm.
3.) The base area is calculated using the radius.
4.) The volume is one-third the volume of a cylinder with the same height and diameter.
5.) The volume of the cone is 297 pi millimeters cubed.
<h2>Explanation:</h2>
The radius is always half the diameter, which is why the first choice is false, and the second choice is true.
When calculating the base, you need to use the radius. This means the third choice is true. The formula for the base area is π
Volume of the cone:
V =
π
h
=
× π ×
× 11
= 933.052233 mm²
Volume of a cylinder with the same height and diameter:
V = π
h
= π × 81 × 11
= 891π
= 2799.15669 mm²
2799.15669 ÷ 3 = 933.052233
Option four is true.
297 × π = 933.05223 This is true.
Answer:
Step-by-step explanation:
The area of the floor A = Length * Width
Given
A = 200 square meters
If the length of the floor is 32 m longed than it’s width then;
L = 32+W
A = LW
200 = (32+W)W
200 = 32W + W²
W²+32W-200 = 0
W = -32±√32²+800/2
W = -32±42.71/2
W = -32+42.71/2
W = 10.71/2
W = 5.35 m
L = 32+5.35
L = 37.35m
Hence the dimension is 5.35ft by 37.35m