Answer:
Height of the cereal box = 18 in.
Step-by-step explanation:
A cereal box is in the shape of a cuboid.
And volume of a cuboid is represented by the expression,
Volume = Length × Width × Height
It's given that volume of the box = 432 in³
Length of the base = 2 in.
Width of the base = 12 in
By substituting these values in the expression,
432 = 2 × 12 × h
h =
h = 18 in.
Therefore, height of the cereal box is 18 in.
Given that there is no any option to choose I am going to help you according to the concepts of
Congruent Triangles. Two triangles are congruent if and only if:
1. They have:exactly the same three sides
2. exactly the same three angles.
<span>There are five ways to find if two triangles are congruent but in this problem we will use only two.
First Answer:<u>ASA criterion:</u> </span><em>A</em><span><em>ngle, side, angle</em>. This means that we have two triangles where we know two angles and the included side are equal.</span>
So:
If ∠BAC = ∠DEF and
<em>Then ΔABC and ΔEFD are congruent by ASA criterion.</em>
Second answer:<u>SAS criterion:</u> <em>S</em><span><em>ide, angle, side</em>. This means that we have two triangles where we know two sides and the included angle are equal.
</span>
<em>Then ΔABC and ΔEFD are congruent by SAS criterion.</em>
Answer:
<u>x = 60°</u>
Step-by-step explanation:
The rest of the question is the attached figure.
And it is required to find the angle x.
As shown, a rhombus inside a regular hexagon.
The regular hexagon have 6 congruent angles, and the sum of the interior angles is 720°
So, the measure of one angle of the regular hexagon = 720/6 = 120°
The rhombus have 2 obtuse angles and 2 acute angles.
one of the obtuse angles of the rhombus is the same angle of the regular hexagon.
So, the measure of each acute angle of the rhombus = 180 - 120 = 60°
So, the measure of each acute angle of the rhombus + the measure of angle x = the measure of one angle of the regular hexagon.
So,
60 + x = 120
x = 120 - 60 = 60°
<u>So, the measure of the angle x = 60°</u>
<u><em>Answer is in bold</em></u>
Harry can first substitute 30 for t. He can then multiply by 30 to get a product of 10. Since 15 is equal to 30 × 1/2, Harry's solution is not correct.
Hope this helps :)
Have a great day!