Convert the following repeating decimal to a fraction in simplest form. .05
1 answer:
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Answer:
i. ΔAXC ~ ΔCXB
ii. ΔBCX Is-congruent-to ΔACX
Step-by-step explanation:
From the given ΔABC, CX is the altitude of ΔABC; and also an angle bisector of <ACB.
So that:
m<AXC = m<BXC (right angle property)
m<ACX = m<BCX (congruent property)
m<ACX + m<AXC + m<CAX = (sum of angles in a triangle)
m<BCX + m<BXC + m<CBX = (sum of angles in a triangle)
Therefore, from the figure it can be deduced that;
i. ΔAXC ~ ΔCXB (Angle-Angle-Side, AAS, property)
ii. ΔBCX Is-congruent-to ΔACX (Angle-Angle-Side, AAS, property)
The question is missing the figure which is attached below.
Answer:
The last box that has dimensions 8 in × 8 in × 10 in
Step-by-step explanation:
Given:
Volume of the soil = 924 cubic inches.
There are four different types of boxes that need to be checked whether they can accommodate all of the soil or not.
The volume of the box must be at least 924 cubic inches to accommodate all of the soil.
Now, volume of the first box is given as:
Volume of the second box is given as:
Volume of the third box is given as:
Volume of the fourth box is given as:
Therefore, only the volume of the fourth box is less than the total volume of the soil. So, last box is the correct option.
