Jane needs to fix a piece of broken siding on the side of her house. The top of the ladder is placed is 8 feet high above the ground and the base of the ladder will be
placed 6 feet away from the house.
What is the length of the ladder? Round to the nearest whole number.

The length of the ladder = 10 feet

Step-by-step explanation:

The ladder placed on the Wall forms a right angle triangle

Hypotenuse ² = opposite ² + adjacent ²

The top of the ladder = opposite

The base of the ladder = adjacent

The length of the ladder = hypotenuse

Opposite = 8 feet

Adjacent = 6 feet

Hypotenuse = ?

Hypotenuse ² = opposite ² + adjacent ²

= 8² + 6²

= 64 + 36

= 100

Hypotenuse ² = 100

Hypotenuse = √100

Hypotenuse = 10 feet

The length of the ladder = 10 feet

answer: a.   one is a factor of every whole number since every number is divisible by itself.

2. angles qrt and qst both measures 156 degrees.

step-by-step explanation:  

we have been given a diagram of a circle and we are told that measure of arc qvt is 156 degrees.  

we can see from our given diagram that angle qrt and angle qst subtends to arc qvt.

since we know that angles subtended by the same arc at the circumference are always equal.

by angle subtended by same arc theorem, measure of angle qrt and angle qst will be equal to the measure of arc qvt.

therefore, angles qrt and qst both measures 156 degrees and 2nd statement is the correct choice.