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LuckyWell [14K]
2 years ago
8

Given Δ XYZ ≅ Δ EGF, find the measurements of the unknown sides and angles.

Mathematics
2 answers:
mamaluj [8]2 years ago
6 0
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°

strojnjashka [21]2 years ago
3 0
The triangles are given to be congruent which means that their corresponding angles and sides will have to have similar measures and similar lengths. 

a. ZX = __ in
 The length of ZX is equal to the length of FE. Hence, the length should be equal to <em>1.3 in</em>. 

b. EG = __ in
 The length of EG is equal to the length of XY. From the figure, the answer should be <em>3.0 in</em>.

c. m∠X = __°
 The measure of angle x should be equal to the measure of angle E. This is given to be equal to <em>48°</em>.

d. m∠G
  The measure of angle F is equal to the measure of angle Z. Th measure of angle F should then be equal to 107°. In the triangle in the right, the measure of angle E is 48°, the measure of angle F is 107°, subtracting the sum of these angles from 180°, we are then left with measure of angle G which is equal to <em>25°</em>. 
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The option that is true with regard to the following functions is Option B. "The domain g(x) and h(x) include all real number while the domain of i(x) and h(x) are restricted"

<h3>What is the explanation for the above?</h3>

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