Answer:
320
Step-by-step explanation:
Using the rules of exponents
•
⇔

•
×
⇔ 
simplifying
= 4³ × x³ = 64x³
(5x³) ×
= 5x³ × 64x³ = (5 × 64) × (x³ × x³) = 320
= 320
Answer:
72,70,72, 71,71,70,69,72,69
I really didn't understand the question or what to do, but I tried.
Step-by-step explanation:
<em>Answer:</em>
Below is the complete proof.
<em />
<em>STATEMENT REASON </em>
___________________________________________________
1. BC = EF 1. Given
2. AB + BC = AC 2. Betweenness
3. AC > BC 3. Def. of segment inequality
4. AC > EF 4. Def. of congruent segments
Explanation:
- As BC = EF is given
- AB + BC = AC because it holds betweenness. Betweenness defines that if a point B is between points A and C, then the length of AB and the length of BC is equal to the length of AC.
- AC > BC because the Parts Theorem (Segments) mentions that if B is a point on AC between A and C, then AC > BC and AC>AB.
- AC > EF because BC = EF and if AC>BC, then it must be AC>EF.
<em>Keywords: segment, proof, statement</em>
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Can’t see a picture but if it’s a square I’m guessing 3/4
Answer:
Height of the triangular face of the box is 12 cm.
Step-by-step explanation:
This question is not complete; please find the question as the attachment.
Volume of a triangular prism = Area of the triangular base × height
It's given in the question, Volume of the prism = 3240 cm³
Height of the prism = 30 cm
By substituting these values in the formula,
3240 = B × 30
B = 
B = 108 cm²
Area of the triangular face (B) = 
108 = 
108 = 9h
h = 12 cm
Therefore, height of the triangular face of the prism is 12 cm.