Answer:
m∠1 = 93.5°
Step-by-step explanation:
By theorem of intersecting chords inside a circle,
If two chords intersect inside a circle, angle formed between the chords measure half the sum of the measures of the intercepted arcs.
m∠1 =
=
= 93.5°
Therefore, measure of angle 1 is 93.5°.
Answer:
C
Step-by-step explanation:
Step 1: find BC
Given Triangles ABC and ADE are similar,
=
BC = x DE
= x 9
= 6 cm
Step 2: use Pythagorean theorem to find AC and / or AE
Consider triangle ABC,
by Pythagorean theorem,
AB² + BC² = AC²
AC² = 6² + 8² = 100
AC = √100 = 10 (answer... we can see that C is the only one with AC=10.
Step 3: Verify.. even though we know that it is C because AC = 10, you can verify that the ansewer is correct by finding CE and confirming that CE=5
By using similar triangles ABC and ADE,
AC/AE = AB / AD
AE = AD/AB x AC = 12/8 x 10 = 15
CE = AE - AC = 15 - 10 = 5 (answer confirmed)
Answer: $18
Step-by-step explanation:
Let x= Pretax price of the meal.
Given: Sales tax = 8%
Tip percent = 20%
As per given ,
Amount spent = ( Pretax price) + (Sales tax ) of (Pretax price) + (Tip percent)of (Pretax price)
= x+ 8% of x + 20% of x
= x +0.08+0.20x
= 1.28x
∵ Amount spent = $23.04
So,
Hence, the pretax price of the meal= $18.