The answer to this problem is C
Answer: the number is 369
Step-by-step explanation:
Let the missing number be y
8/9 × y = 328
8/9y = 328
Divide both sides by 8/9
y = 328 ÷ 8/9
y = 328 × 9/8 (multiply the two numerators: 328 x 9= 2952
Multiply the denominator by 1: 8 x 1= 8
Therefore y = 2952/8
y = 369
I hope this helps.
a. Applying the angle of intersecting chord theorem, m∠AEB = 57°.
b. Applying the , angle of intersecting tangents or secants theorem, VW = 106°.
<h3>What is the Angle of Intersecting Chords Theorem?</h3>
According to the angle of intersecting chord theorem, the angle formed inside a circle (i.e. angle AEB) by two chords (i.e. AC and BD) have a measure that is equal to half of the sum of the measures of intercepted arcs AB and CD.
<h3>What is the Angle of Intersecting Tangents or Secants Theorem?</h3>
According to the angle of intersecting tangents or secants theorem, the angle formed outside a circle (i.e. angle VZW) have a measure that is equal to half of the positive difference of the measures of intercepted arcs XY and VW.
a. m∠AEB = 1/2(measure of arc AB + measure of arc CD) [angle of intersecting chord theorem]
Substitute
m∠AEB = 1/2(53 + 61)
m∠AEB = 57°
b. 35 = 1/2(VW - 36) [angle of intersecting tangents or secants theorem]
Multiply both sides by 2
2(35) = VW - 36
70 = VW - 36
Add 36 to both sides
70 + 36 = VW
VW = 106°
Learn more about the angle of intersecting chord theorem on:
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Answer:
x = 3
Step-by-step explanation: I took the test look:
Answer:
Step-by-step explanation:
