Angle A = 100 , Angle C = 100 , Angle D =80
x = 45°
Solution:
Given data:
Measure of larger arc = 152°
Measure of smaller arc = 62°
<em>If a tangent and a secant intersect at the exterior of a circle then the measure of angle formed is one-half the positive difference of the measures of the intercepted arcs.</em>
![$\Rightarrow x = \frac{1}{2}(\text{ larger arc }- \text{smaller arc} )](https://tex.z-dn.net/?f=%24%5CRightarrow%20%20x%20%3D%20%5Cfrac%7B1%7D%7B2%7D%28%5Ctext%7B%20larger%20arc%20%7D-%20%5Ctext%7Bsmaller%20arc%7D%20%29)
![$\Rightarrow x = \frac{1}{2}(152^\circ-62^\circ)](https://tex.z-dn.net/?f=%24%5CRightarrow%20%20x%20%3D%20%5Cfrac%7B1%7D%7B2%7D%28152%5E%5Ccirc-62%5E%5Ccirc%29)
![$\Rightarrow x = \frac{1}{2}(90^\circ)](https://tex.z-dn.net/?f=%24%5CRightarrow%20%20x%20%3D%20%5Cfrac%7B1%7D%7B2%7D%2890%5E%5Ccirc%29)
⇒ x = 45°
The value of x is 45°.
Answer:It is 100 times as great in the ZIP code than it is in the area code
Step-by-step explanation:
step 1
Veronica 's uncle ZiP CODE = 89507 = The value of 5 here, represents 5 Hundred-----500
Veronica 's uncle Area code= 775 = The value of 5 here represents 5 units--5
it will take a 100 times the value of 5 in the area code to be same as the value of 5 in the ZIP code
Step 2:
Therefore, we can say that the value of 5 is 100 times as great as the ZIP code than it is in the area code.
Me I would go with 3 time 6/7
Since we know there are 3 quarts of pineapple juice and 2 gallons of orange juice the first thing you need to do is convert the units of the orange juice to quarts.
If there are 4 quarts in a gallon and we have 2 gallons then we have 8 quarts (4*2)
So 3 quarts of pineapple juice to 8 quarts of orange juice.
The ratio would be <u><em>3:8</em></u>