Point Z is the incenter of ΔWXY.
2 answers:
Answer with explanation:
An Incenter of a triangle is defined as that point inside the triangle where the internal bisector of angles meet.
As, Z is the incenter of ΔWXY.
The true Statements are
2. ZX bisects ∠WXY
4.The circle inscribed in ΔWXY will have a center at point Z.
5. This statement will be true ,if we take perpendicular distance from the center to sides of triangle.
Point Z is equidistant from the sides of ΔWXY.
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Answer:
1/30 of a ton
Step-by-step explanation:
Write this as an expression:
1/3 of a ton and 1/2 of a ton were taken to the site.
4/5 of a ton were remove from the site.
Amount of a ton at the site =
Solve the equation by finding <u>common denominators</u> (when the bottom numbers are the same).
Focus on the first part. The least common multiple (LCM) of 3 and 2 is "6", which will become the denominator.
For <u>1/3 to become ?/6</u>, multiply top and bottom by 2.
For <u>1/2 to become ?/6</u>, multiply top and bottom by 3.
Now we can add the numerators together over the same denominator.
Do the same thing as before and change the denominators. The LCM of 6 and 5 is "30".
For <u>5/6 to become ?/30</u>, multiply top and bottom by 5.
For <u>4/5 to become ?/30</u>, multiply top and bottom by 6.
Subtract the numerators:
Answer in tons
Therefore there was 1/30 of a ton of rock left at the construction site.
Answer:
Exactly 1.30725 bags are needed to cover the garden.
Step-by-step explanation:
We have a yard with a surface of 1307.25 square feet.
We know that one bag of fertilizer covers 1000 square feet.
We want to know how many bags are needed to cover the garden. We can calculate the number of bags as:
B: number of bags needed for the yard.
S: surface of the yard.
b: number of bags per square foot.