Answer:



Step-by-step explanation:
Hello there!
<u>Algebra 1</u>
The first thing we should find is the missing angle
Because this is a right triangle we can solve it using the Pythagorean Theorem
The Pythagorean theorem states that the sum of the two legs squared equal the hypotenuse squared
the formula...
where a and b = legs and c = hypotenuse
we are given two legs so we plug in a and b and solve for c

so we can conclude that the missing side length ( or z) equals 25
now to solve for the angles
<u>Trigonometry</u>
We can solve for y using sin
sin = opposite side divided by the hypotenuse
the opposite of y is 7 and the hypotenuse is 25
so we set up an equation 
now we solve for y

then we round to the nearest hundredth
so we can conclude that angle labeled y = 16.26
<u>basic geometry</u>
Remember all of the angles in a triangle add up to equal 180 so we can find x by subtract the known angles from 180
180 - 90 - 16.26 = 73.74 so we can conclude that x = 73.74
Answer:
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Step-by-step explanation:
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Let:
Larger number = x
Smaller number = y
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x + y = 49
x - y = 21
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Isolate the x in the first equation. Subtract y from both sides
x + y (-y) = 49 (-y)
x = 49 - y
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Now that we know what x is, plug in 49 - y (which = x) into x in the other equation.
x - y = 21
(49 - y) -y = 21
Simplify.
49 -2y = 21
Note the equal sign. What you do to one side, you do to the other. Do the opposite of PEMDAS. First subtract 49 from both sides
-2y +49 (-49) = 21 (-49)
-2y = 21 - 49
-2y = -28
Next, divide -2 from both sides to isolate the y
-2y/-2 = -28/-2
y = -28/-2
y = 14
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Now that we know what y is, plug into one of the equations.
x + y = 49
x + (14) = 49
Isolate the x. Subtract 14 from both sides
x + 14 (-14) = 49 (-14)
x = 49 (-14)
Simplify
x = 35
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Answer:
Larger number: 35
Smaller number: 14
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hope this helps