Answer:
135°
Step-by-step Explanation:
==>Given:
An inscribed quadrilateral ABCD with,
m<A = (3x +6)°
m<C = (x + 2)°
==>Required:
measure of angle A
==>Solution:
First, let's find the value of x.
Recall that the opposite angles in any inscribed quadrilateral in a circle are supplementary.
Therefore, this means m<A + m<C = 180°
Thus, (3x+6) + (x+2} = 180
3x + 6 + x + 2 = 180
Collect like terms:
3x + x + 6 + 2 = 180
4x + 8 = 180
Subtract 8 from both sides:
4x + 8 - 8 = 180 - 8
4x = 172
Divide both sides by 4:
4x/4 = 172/4
x = 43
We can now find m<A = (3x + 6)°
m<A = 3(43) + 6
= 129 + 6
measure of angle A = 135°
Answer:
G = 2/3
Step-by-step explanation:
-13G + 10 = 2(-5G + 4) Distribute the 2 to (-5G + 4)
-13G + 10 = -10G + 8
+13G +13G Add 13G to both sides
10 = 3G + 8
-8 -8 Subtract 8 from both sides
2 = 3G Divide both sides by 3
2/3 = G
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Answer:
<h2>x + 2y = 8</h2>
Step-by-step explanation:
The standard form of an equation of a line:
We have:
Convert:
<em>multiply both sides by 2</em>
<em>add x to both sides</em>
The measure of m∠J=90°, m∠G=55° and m∠H=35°
Step-by-step explanation:
Inscribed angles subtended by a diameter are right angles. Hence angle GJH =90°
The diameter GH and chord GJ intercepts an arc with a measure of 70°.The measure of an arc of a circle is equal to the measure of the central angle that intercepts the arc. Hence angle GOJ=70°. Radius of circle GO=OJ, which means triangle GOJ is an isosceles triangle thus ∠OJG=∠OGJ =(180° -70°) /2 = 55°. m∠G=55°
m∠H = (180°-(90°+55°) ) = 180° - 145° =35°
Learn More
Angles subtended by a diameter :brainly.com/question/10345730
Keywords : measures, angles, diameter, chord, intercepts, arc
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Answer:
1071.79 yd³
Step-by-step explanation:
radius r = 16/2 = 8 yd
height = 16 yd
volume = (1/3)×πr²h
= (1/3)×3.14×8²×16
= 1071.79 yd³ (rounded to the nearest tenth)
