8,3 is QI
9,-2 is QIV
-3.5,-6 is QIII
9514 1404 393
Answer:
71°
Step-by-step explanation:
Opposite angles of an inscribed quadrilateral are supplementary.
∠H = 180° -109° = 71°
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<em>Additional comment</em>
The above rule comes from the more general rule that the measure of an inscribed angle is half the measure of the arc it intercepts. Here, inscribed angle J intercepts arc GHI, so that arc has measure 2×109°. Then the measure of short arc GI is 360° -2×109°, and inscribed angle H is half that:
∠H = (1/2)(360° -2×109°)
∠H = 180° -109° = 71°
(f/g)(8)=f(8)/g(8)
find f(8) and g(8) to mke it easier
f(8)=3-(8)=3-2(8)=3-16=-13
g(8)=1/(5+8)=1/13
so (f/g)(8)=-13/(1/13)=-13*13=-169
answer is -169
Natasha's age is 81 years and Andrew's age is 31 years
Step-by-step explanation:
- Step 1: From the given details, let the age of Natasha be x, then age of Andrew is x - 50.
- Step 2: Form equations out of their details of ages 6 years ago.
⇒ x - 6 = 3(x - 50 - 6)
⇒ x - 6 = 3(x - 56)
⇒ x - 6 = 3x - 168
⇒ 2x = 162
⇒ x = 81
- Step 3: Calculate Andrew's age
x - 50 = 81 - 50 = 31
Answer:
20
Step-by-step explanation:
