Answer:
To find the measure of angle OPQ, we have two equations...
y+5x-17=180 because angles OPN and OPQ are supplementary...
AND
x+17+2x-4+y=180 because the total degrees of a triangle must add up to 180.
The equations...
5x+y=197
3x+y=167
solce the system of equations...
x=15
y=122
Since we wanted to solve for y, 122 is the answer.
The measure of angle OPQ is 122.
Answer:
f(-5) = -16
Step-by-step explanation:
f(x)=2x-6
f(-5) = (2 * -5) -6 = -10 - 6 = -16 ... replace x with -5
Hey there :)
We can solve 2 ways: With a calculator and Without
With:
√53 = 7.28
Therefore this lies between 7 and 8
Without:
6² and 7² = 36 and 49
Still, the values are less than 53, which means √53 does not lie between 6 and 7
7² and 8² = 49 and 64
53 is between both values, therefore √53 lies between 7 and 8
Your answer will be option B) 7 and 8
The surface area would be 142 cm squared. Hope this helps
Let us prove that angle 1 is complementary to angle 3 step by step.
1. We have been given that angle 1 is complementary to angle 2.
2. Since we know that complementary angles add up to 90 degrees, therefore, by the definition of complementary .
3. We have been also given that line segment BD bisects .
4. By the definition of bisect .
5. Angles are congruent if their measures, in degrees, are equal, therefore, by angle congruence postulate .
6.
Upon substituting in above equation we will get,
Therefore, by substitution property of equality .
Hence, proven that angle 1 is complementary to angle 3.