Answer:
Step-by-step explanation:
Legislative—Makes laws (Congress, comprised of the House of Representatives and Senate) Executive—Carries out laws (president, vice president, Cabinet, most federal agencies) Judicial—Evaluates laws (Supreme Court and other courts)
The first on is 5 added to q
Answer:
The measure of the two supplementary angles is
Small angle = x = 44°
Large angle = y = 136
Step-by-step explanation:
Supplementary angles are two angles whose measures add up to 180° .
Let
Small angle = x
Large angle = y
x + y = 180°.... Equation 1
The measure of the large angle is four more than three times the measure of the small angle
Hence: y = 4 + 3x
We substitute 4 + 3x for y in Equation 1
x + 4 + 3x = 180°
4x + 4 = 180°
4x = 180° - 4
4x = 176
x = 176/4
x = 44°
Solve for y
y = 4 + 3x
y = 4 + 3(44)
y = 4 + 132
y = 136°
Therefore, the measure of the two supplementary angles is
Small angle = x = 44°
Large angle = y = 136
Answer: See below
Step-by-step explanation:
The Pythagorean Theorem is a²+b²=c². Since each problem gives us the length of a, b, or c, we can directly plug them into this equation and solve.
Triangle EFG
9²+b²=41²
81+b²=1681
b²=1600
b=√1600
b=40
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Triangle PQR
20²+21²=c²
400+441=c²
c²=841
c=√841
c=29
----------------------------------------------------------------------
Triangle XYZ
a²+24²=25²
a²+576=625
a²=49
a=√49
a=7
