9514 1404 393
Answer:
(a) x = 22
(b) 46°
(c) 44°
(d) 180°
Step-by-step explanation:
Because the sum of the interior angles of a triangle is 180°, we know that the sum of the acute angles in a right triangle is 90°.
<h3>(a) </h3>
The sum of the marked acute angles is 90°.
2x +(3x -20) = 90
5x = 110 . . . . . . . . . . add 20, collect terms
x = 22 . . . . . . . . . divide by 5
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<h3>(b) </h3>
∠CBA = (3x -20)° = (3·22 -20)° = 46°
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<h3>(c)</h3>
∠CAB = 2x° = 2(22)° = 44°
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<h3>(d)</h3>
The sum of a triangle's interior angles is 180°.
Answer:
Step-by-step explanation:
<u>Exponential Function</u>
The exponential function can be written with the general equation:
Where A is the value when x=0 and r>0 is the ratio. If r is greater than 1, the function is increasing, if r is less than 1, the function is decreasing.
The table shows the relation between values of x and values of the function y. Note that as x increases (one by one), y decreases with a ratio of 1/2. Only the last two choices have ratios of r=1/2. We only have to test which one of them has the correct value of y=4 when x=0.
Substituting in the third function:
This gives the correct value of f(0)=4.
Substituting in the fourth function:
This choice is wrong
Correct choice:
Answer:
by subtracting 3 other men
Answer:
36Q
Step-by-step explanation:
multiply all together we have 36Q
My guess is that you're doing the Law of Cosines? You have everything you need for that except the angle theta, which is the thing you need to find. It's set up like this: (8)^2 = (10)^2 + (5)^2 -[2(10)(5)cos A] I used A instead of theta. Doing that math, you have: 64 = 100 + 25 -[ 100 cos A]; 64 = 125 - 100 cos A;
-61 = - 100 cos A; -61 / -100 = cos A; .61 = cos A. Now use your inverse function on your calculator to find cos^-1(.61) and that equals 52.4
