Answer:
Step-by-step explanation:
<em>17.</em>
sin20° =
x = 1 ÷ sin20°
<em>x</em> ≈ <em>2.9238</em>
cos20° =
y = x ÷ cos20°
<em>y</em> ≈ 2.9238 ÷ cos20° ≈ <em>3.11</em>
<em>18.</em>
<em>x = 2√3</em> ≈ 3.46
<em>y = √3</em> ≈ 1.732
Evaluate the following expression when x = -1, y = 2, z = -3, and w = 4. x² - y²
1 answer:
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The complete question in the attached figure
we have that
<span>m∠4=68°
we know that
</span>m∠4 and m∠3 are supplementary angles
so
m∠3=180-m∠4----- m∠3=180-68------> m∠3=112°
m∠3 = m∠2 --------> by alternate interior angles
so
m∠2=112°
m∠1 = m∠4 --------> by alternate exterior angles
so
m∠1=68°
m∠5 = m∠4---------> by corresponding angles
so
m∠5=68°
the answers are
m∠1=68°
m∠2=112
m∠3=112°
m∠5=68°
we have that
<span>m∠4=68°
we know that
</span>m∠4 and m∠3 are supplementary angles
so
m∠3=180-m∠4----- m∠3=180-68------> m∠3=112°
m∠3 = m∠2 --------> by alternate interior angles
so
m∠2=112°
m∠1 = m∠4 --------> by alternate exterior angles
so
m∠1=68°
m∠5 = m∠4---------> by corresponding angles
so
m∠5=68°
the answers are
m∠1=68°
m∠2=112
m∠3=112°
m∠5=68°
Answer:
D. A translation 2 units down followed by a 270-degree counterclockwise rotation about the origin
Step-by-step explanation:
The given triangle has vertices at R(3,4), S(1,1), and T(5,1)
Translating the the vertices down by 2 units, we apply the rule;
Rotating the resulting vertices through an angle 270 degrees counterclockwise, we apply the rule:
Therefore the correct choice is D.