Which expressions are equivalent to 6^16? Check all that apply.
1 answer:
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Answer:
6 gallons of punch makes her recipe.
Step-by-step explanation:
Given:
Quarts of ginger ale (g) = 6
Quarts of lemonade (l) = 8
Quarts of raspberry (r) = 10
Therefore, the total volume of fruto punch is equal to the sum of the volume of each of its ingredients.
So, Total volume =
Total volume = 6 + 8 + 10 = 24 quarts
Now, we know that,
1 quart = 0.25 gallons
Therefore, from unitary method,
24 quarts = 24 × 0.25 = 6 gallons of punch
Therefore, 6 gallons of punch makes her recipe.
Answer:
(a) AH < HC is No
(b) AH < AC is Yes
(c) △AHC ≅ △AHB is Yes
Step-by-step explanation:
Given
See attachment for triangle
Solving (a): AH < HC
Line AH divides the triangle into two equal right-angled triangles which are: ABH and ACH (both right-angled at H).
To get the lengths of AH and HC, we need to first determine the measure of angles HAC and ACH. The largest of those angles will determine the longest of AH and HC. Since the measure of the angles are unknown, then we can not say for sure that AH < HC because the possible relationship between both lines are: AH < HC, AH = HC and AH > HC
Hence: AH < HC is No
Solving (b): AH < AC
Length AC represents the hypotenuse of triangle ACH, hence it is the longest length of ACH.
This means that:
AH < AC is Yes
Solving (c): △AHC ≅ △AHB
This has been addresed in (a);
Hence:
△AHC ≅ △AHB is Yes
