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kati45 [8]
3 years ago
7

True or False: All statements of equality below are correct. Please help!!

Mathematics
1 answer:
koban [17]3 years ago
8 0

Answer:

True?

Step-by-step explanation:

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Given Δ XYZ ≅ Δ EGF, find the measurements of the unknown sides and angles.
mamaluj [8]
The two triangles are similar and equal therefore; It means the corresponding sides are equal and the corresponding angles are equal. Hence;
 ZX=EF, thus,ZX = 1.3 in. 
EG = XY, thus, EG = 3.0 in.
m∠ X = m∠E, thus m ∠X = 48°
m∠ G = m∠Y, and angles in a triangle add up to 180 thus;
  m ∠ G=180- (107 +48) = 25°

6 0
3 years ago
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-7 1/3 &gt; -11 1/4 <br> true or false?!?
Varvara68 [4.7K]

Answer:

False

Step-by-step explanation:

8 0
4 years ago
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A concrete slab 4 inches deep will be poured for the floor of greenhouse A. How many cubic feet of concretar are needed for the
Mars2501 [29]

This question is incomplete

Complete Question

Consider greenhouse A with floor dimensions w = 16 feet , l = 18 feet.

A concrete slab 4 inches deep will be poured for the floor of greenhouse A. How many cubic feet of concrete are needed for the floor?

Answer:

96 cubic feet

Step-by-step explanation:

The volume of the floor of the green house = Length × Width × Height

We convert the dimensions in feet to inches

1 foot = 12 inches

For width

1 foot = 12 inches

16 feet = x

Cross Multiply

x = 16 × 12 inches

x = 192 inches

For length

1 foot = 12 inches

18 feet = x

Cross Multiply

x = 18 × 12 inches

x = 216 inches

The height or depth = 4 inches deep

Hence,

Volume = 192 inches × 216 inches × 4 inches

= 165888 cubic inches

From cubic inches to cubic feet

1 cubic inches = 0.000578704 cubic foot

165888 cubic inches = x

Cross Multiply

x = 16588 × 0.000578704 cubic foot

x = 96 cubic feet

Therefore, 96 cubic feet of concrete is needed for the floor

8 0
3 years ago
What is 5 2/9 plus 7 5/15
alina1380 [7]
47/9+110/15=705/135+990/135=1695/135=12 15/27
7 0
3 years ago
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If θ is an angle in standard position whose terminal side passes through (3, 4), evaluate tan(1/2)θ.
aleksandr82 [10.1K]

The tangent half angle formula, one of several, is

\tan \dfrac a 2 = \dfrac{1 - \cos a}{\sin a}

We have θ is opposite 4 in the 3/4/5 right triangle so

\cos \theta = \dfrac{3}{5}

\sin \theta = \dfrac{4}{5}

\tan \dfrac{\theta}{2} = \dfrac{1 - 3/5}{4/5} = \dfrac{5-3}{4}=\dfrac{1}{2}

Answer: 1/2

This is actually pretty deep.  It says half the big acute angle in the 3/4/5 triangle is the small diagonal angle of the 1x2 rectangle.   Similarly, the small acute angle in 3/4/5 triangle is twice the small diagonal angle of the 1x3 rectangle.

7 0
3 years ago
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