Mathematics, 27.09.2019 20:00 niicoleassssssf

Given δ xyz ≅ δ egf, find the measurements of the unknown sides and angles.

zx = in.

eg = in.

m∠x = in.

m∠g = in.

Given δ xyz ≅ δ egf, find the measurements of the unknown sides and angles. zx = in.

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Answer from: hezekiahmharris

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°

Answer from: snap5236

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 1.3 in.

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

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

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 25°.

Answer from: Quest

infinitely many solutions

step-by-step explanation:

we have been given the equation;

2(2x + 3) = -4 + 2(2x + 5)

we need to determine the value of x.

2(2x + 3), we expand this expression to obtain 4x + 6

similarly 2(2x + 5) will become 4x + 10

now we have;

4x + 6 = -4 + 4x + 10

4x + 6 = 4x + 10 - 4

4x + 6 = 4x + 6

the expression on the left hand side is identical to the one on the right hand side. therefore, we are looking at just a single straight line whose equation is;

y = 4x + 6

consequently, we shall have infinitely many solutions

Answer from: Quest

pentagon

step-by-step explanation:

the coordinates a(5, -2), b(3,-1),c(-4,-4) d(-3,8) and e(-1,4) forms the vertices of the polygon when they are connected in order.

in order to classify that which polygon is it with the given coordinates, first count the number of vertices and then count the number of sides it can make with these vertices.

since, the given coordinates have five vertices, therefore, it will make five sides. moreover, pentagon is regular in nature therefore it will be convex.

now, a polygon with five sides is known as pentagon, therefore, the given polygon is the pentagon.

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Given δ xyz ≅ δ egf, find the measurements of the unknown sides and angles.

zx = in.

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