Answer:
Step-by-step explanation:
The sum of the measures of the angles in a triangle is 180°.
X + Y + Z = 180°
84° +(r +59)° +(r +51)° = 180°
2r +194 = 180 . . . . . . . . . divide by ° and simplify
2r = -14 . . . . . . . . . . subtract 194
r = -7
Then the measure of Y is ...
Y = (r +59)° = (-7 +59)°
Y = 52°
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<em>Additional comment</em>
Z = 44°
Answer:
see explanation
Step-by-step explanation:
Using the cofunction identity
sec(90 - x)° = cscx° , then
7A = 90 - 5A ( add 5A to both sides )
12A = 90° ( divide both sides by 12 )
A = 7.5°
Answer:
Each person gets 7 cookies.
Step-by-step explanation:
Total cookies: 85
Total people will receive cookies: 12
If we estimate it to the whole number, that means each person will get 7 cookies.
Step-by-step explanation:
step 1. let's call the line in the middle y.
step 2. y = sqrt(5^2 + 7^2) = sqrt(74). pythagorean theorem.
step 3. x^2 + y^2 =100 (pythagorean theorem))
step 4. x^2 + (sqrt(74))^2 = 100.
step 5. x^2 = 100 - 74
step 6. x^2 = 26
step 7. x = sqrt(26). note: sqrt is the square root.
R S + 14(S) R=6 S=1/4
(6)(1/4) + 14(1/4)
1.5 + 14(1/4)
1.5 + 3.5
5
