Answer:
D. HL (hypotenuse leg)
Step-by-step explanation:
There are two triangles in the picture, ABQ and CDP. The condition for the hypotenuse leg are:
1. both triangles are right triangle
2. the hypotenuse and one of the leg/side is equal
Both B and D angle is 90 degrees, so both triangles is right triangle. The hypotenuse for the triangle is AQ and PC, and both are equal. One of the triangles legs also equal, which is AB and CD. With that, you fulfill HL postulate for the congruent triangle.
Don't confuse this with SAS theorem for the same angle should be on the middle of two equal sides.
Jack paid $ 23000 for the ring.
<u>Solution:</u>
Given that, Jack Matthew bought a new diamond ring for $20,000
Sales tax is 5% with a 10% excise tax
<em><u>To find: total price including taxes</u></em>
Given that sales tax is 5% of 20,000
Also given that excise tax is 10%
<em>Total price = cost price + sales tax + excise tax</em>
Total price = 20,000 + 1000 + 2000
Total price = 23000
Hence, jack paid $ 23000 for the ring.
Answer:
=2.4 cm
Step-by-step explanation:
In similar plane figures, the ratio of corresponding sides is a constant.
This constant is the linear scale factor.
In the provided example, 1.2cm corresponds to 0.96 while 3.0 corresponds to x
Thus, 1.2 cm/0.96 cm=3.0 cm/x
x=(3.0 cm×0.96 cm)/1.2 cm
=2.4 cm.
Answer:they would meet after 4.5 hours
Step-by-step explanation:
At the point where they will both meet, they would have covered a total distance of 540 miles.
Let t represent the time it will take the car and the truck to meet.
Distance = speed × time
The car drives at a speed of 65 miles per hour. Distance covered by the car in t hours would be
65 × t = 65t
The truck travels at a speed of 55 miles per hour.
Distance covered by the truck in t hours would be
55 × t = 55t
Therefore,. 65t + 55t = 540
120t = 540
t = 540/120 = 4.5 hours
Answer:
The unknown angle = 126°
Step-by-step explanation:
From angles in a triangle.
The total sum of angles in a triangle = 180°
Let the unknown angle be x
27 + 27 + x = 180
X = 180-27-27
X= 180-54
X = 126°
