Based on the above, the Triangle XYZ and ACB are known to be similar triangles since tanX = tanA = 5 over 2 and 5 tenths;
Hence:
<h3>What is the triangle about?</h3>
From the question given; Triangle XYZ is known to have been dilated by a scale factor of 2 to form a type of triangle known as triangle ACB, So therefore, XYZ and ACB are known to be the same or similar triangles.
Since Angles Y and C are known to both measure 90 degrees, and angles A and X are said to be congruent. Therefore:
tanX = tanA = 5 over 2 and 5 tenths
AC = 2 x XY
CB = 2 x YZ
For part B:
cosX=Base/Hypotenuse
cos A=AC/AB
AC = 2.05
AB = 5.59
Therefore, Based on the above, the Triangle XYZ and ACB are known to be similar triangles since tanX = tanA = 5 over 2 and 5 tenths;
Hence:
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Answer:
Option (D) is correct.
Step-by-step explanation:
In a triangle BCD , with b, c, d as the sides of triangle.
Sine rule states when we we divide side b by the sine of angle B then it is equal to side c divided by the sine of angle C and also equal to side d divided by the sine of angle D.
Using Sine rule,

Consider the first and third ratio,

Substitute the values of d = 3 , b= 5 and ∠D=25°

Thus, Measure of angle B is 45 and 135 as sinB is positive is first and 2nd quadrant.
Thus, option (D) is correct.
Answer:
Step-by-step explanation:
12.5z - 6.4 =-8z + 3(1.5z - 0.5)
12.5z - 6.4 = - 8z + 4.5z - 1.5
12.5z - 6.4 = - 3.5z - 1.5
Bringing like terms on one side
12.5z + 3.5z = - 1.5 + 6.4
16z = 4.9
z = 4.9/16
Answer:
12.1x+t
Step-by-step explanation:
since we do not get a specific amount we must add 4.8 and 7.3 and substitute the amount the driver earns per mile with x and use t as a variable if they charge something like $5 just to get in before driving