Answer:
c
Step-by-step explanation:
Answer:
Step-by-step explanation:
Given:
TU ≅ WU
∠T ≅ ∠W
To Prove:
Proof:
In Δ TUS and Δ WUV
STATEMENT REASON
1. TU ≅ WU 1. Given
2. ∠T ≅ ∠W 2. Given
3.∠TUS ≅ ∠WUV 3. Vertically Opposite Angles are equal
4. ΔTUS ≅ ΔWUV 4. Angle-Side-Angle congruence test.
5. ∴ TS ≅ WV 5. Corresponding parts of congruent triangles.
.......Proved
Answer:
62 square units
Step-by-step explanation:
The area of a rectangular prism is the sum of the areas of its six faces. Opposite faces have the same area, so it is the sum of 3 pairs of faces. The area of one face of each pair is the product of the dimensions of that face. Those three areas are ...
• L·W
• W·H
• H·L
so the total surface area is ...
A = 2(LW +WH +HL)
For hand calculation, this can be simplified a bit to ...
A = 2(LW +H(L+W)) . . . . . requires one less multiplication
For your prism, the area is ...
A = 2(5·2 + 3(5+2)) = 2(10 +21) = 62 . . . square units
Given that
3 cos 80° cosec 10° + 2 sin 59° sec 31°
⇛3 cos(90°-10°) cosec 10°+2 sin (90°-31°) sec 31°
We know that
sin (90° - A) = cos A
cos (90°-A) = sin A
⇛3 sin 10° cosec 10° + 2 cos 31° sec 31°
⇛3 sin 10° (1/sin 10°) + 2 cos 31° (1/cos 31°)
⇛3 (sin 10°/sin 10°) + 2 (cos 31°/cos 31°)
⇛3 (1) + 2(1)
⇛3+2
⇛5
<u>Answer</u><u>:</u> Therefore, 3cos 80°cosec 10°+2cos 59°sec 31° = 5.
<u>also</u><u> read</u><u> similar</u><u> questions</u><u>:</u> (sin teta + sec teta)^ + (cos teta+ cosec teta )^ = (1 + sec x cosec)^
brainly.com/question/87846?referrer
<span>83 – 2m = 8 + 3m
-2m -3m =</span><span> 8 - 83
-5m =</span> -<span>75
m = 15
so value of m = 15 makes the statement is true</span>
