x = 58°
<u>Explanation:</u>
According to the diagram, lines HI and JK are parallel to each other.
∠AHI = 60°
∠JKI = 62°
∠JKI and ∠HIA are equal because when two lines are parallel then the corresponding angles are equal.
So,
∠JKI = ∠HIA = 62°
In ΔHIA,
∠AHI + ∠HIA + ∠IAH = 180°
60° + 62°+ x = 180°
122° + x = 180°
x = 180° - 122°
x = 58°
Answer:
The original price of an item less a discount of 20% is 0.8p where p is the original price
Step-by-step explanation:
Here, we want to write an algebraic expression that represents the original price of an item less a discount of 20%
Let the original price of the item be p
The meaning of the ‘less’ is that we are subtracting 20% of the price from the original price ;
So 20% of the price will be 20/100 * p = 20p/100 = p/5 = 0.2p
So let’s take this away from the original price p
That will be;
p - 0.2p = p(1-0.2) = 0.8p
Answer:
4 minutes
Step-by-step explanation:
make equation
0.25+(0.15x)= 0.85
solve for x
0.15x= 0.60
x=4
Answer:
121°
Step-by-step explanation:
- We have been given a chord and tangent to a circle, and also a minor arc measure that is equal to 118°
- We know that; An angle formed by a secant and tangent of circle is half of the measure of intercepted arc.
Therefore; ∠ x = 1/2 mABC
- We can find intercepted arc by subtracting minor arc measure from 360 degrees because minor and major arcs add up to 360 degrees.
Thus;<em> 360° - 118° = 242°</em>
<em>Using the formula; ∠ x = 1/2 mABC</em>
<em>Then; d = 242/2</em>
= 121°
