Answer:
34
Step-by-step explanation:
The triangle with the 28 degree angle is an isosceles as it has 2 sides which are the same length. This means the other angle opposite to one of the sides that is the same length is also 28. The sum of all the angles in the triangle is 180. To find the 3rd angle we just add the two 28 degree angles and subtract it from 180. 180-56=124. The angle of 124 is on a straight line which is divided by another line. The other side of the lines angle will be 180-124 as the angle of a straight line is 180 degrees. 180-124=56. Now we have two angles in the triangle which contains x, 90 degrees and 56 degrees. Once more the total of all angles in the triangle is 180 so subtract the other two angles to get x, 180-(90+56)=34.
Answer:
See explanation
Step-by-step explanation:
An inscribed angle is the angle with vertex and two endpoints lying on the circle.
1) This option shows an inscribed angle, because vertex A and endpoints B ans C lie on the circle.
2) This option doesn't show an inscribed angle, because vertex K doesn't lie on the circle.
3) This option shows an inscribed angle, because vertex X and endpoints V ans W lie on the circle.
4) This option doesn't show an inscribed angle, because vertex M doesn't lie on the circle.
5) Angle CAB is inscribed angle subtended on the arc BC with measure of 80°, so its measure is 40° (half of the measure of arc BC)
6) Angle WXV is inscribed in the circle and subtended on the arc WV. Hence, the measure of the arc WV is twice the measure of angle VXW and is equal to 84°.
Options 7) and 8) are not visible.
Greater because a ton=2,000 pounds so you mutiply by 3 and you get 6,000 which is bigger
Answer:
f(x) = 2(x + 4)² - 2
Step-by-step explanation:
Equation of quadratic function whose vertex is (h, k),
f(x) = a(x - h)² + k
Equation of the function with vertex (-4, -2) shown in the graph will be,
f(x) = a(x + 4)² - 2
This graph is passing through a point (-6, 6) also,
6 = a(-6 + 4)² - 2
6 + 2 = a(-2)²
a = = 2
Therefore, quadratic function is f(x) = 2(x + 4)² - 2