Answer:
Answer B (57 degrees) is closest
Step-by-step explanation:
Find the measure of Angle A, if the hypotenuse is 26 and the horizontal leg is 14. If this is true, then
cos A = adj / hyp = 14/26 = 0.5385, and
Angle A = arccos 0.5385, which (via calculator) comes out as 1.002 radian, or 57.421 degrees. Answer B (57 degrees) is closest.
Answer:
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Step-by-step explanation:
Answer:
<u>The two numbers are 23 and 56</u>
Step-by-step explanation:
Let's say the two numbers are A and B.
We are told:
1) A+B=79
2) 3A+5B=283
Let's take the first expression and solve for A:
A+B=79
A=79-B
Now use this value of A in the second expression:
3A+5B=283
3(79-B)+5B=283
237-3B+5B=283
2B = 46
B = 23
Since B=23, we know from 1) that
A+B=79
A+23=79
A = 56
<u>CHECK:</u>
Does A+B=79?
56+23 = 79? <u>YES</u>
Does 3A+5B=283?
3(56)+5(23)=283
168 + 115 = 283? <u>YES</u>
Given:
A quadrilateral inscribed in a circle.
To find:
The value of x and y.
Solution:
If a quadrilateral inscribed in a circle, then it is known as cyclic quadrilateral and the opposite angles of a cyclic quadrilateral are supplementary angles, it means their sum is 180 degrees.
[Supplementary angles]



The value of x is 14 degrees.
[Supplementary angles]



Therefore, the value of x is 14 degrees and the value of y is 38 degrees.