Answer:
x = 9
Step-by-step explanation:
solve using cross multiplication
63(x) = 45(12.6)
63x = 567
x = 9
Answer:
144 cloves
Step-by-step explanation:
You separate 42 bulbs of garlic into two groups:one for planting and one for cooking.
We have a ratio of planting to cooking
Planting : Cooking
You will plant 3 bulbs for every 4 bulbs that you will use for cooking.
Hence: 3 : 4
The total of their proportion = 3 + 4 = 7
Hence:
The number of garlic you plant =
3/7 × 42 = 18 bulbs of garlic
The number of garlic you use to cook =
4/7 × 42 = 24 bulbs of garlic
We are also told that:
Each bulb has about 8 cloves. How many cloves of garlic will you plant?
From the calculation above , we know the number of bulbs of garlic been planted
= 18 bulbs.
Hence:.
1 bulb = 8 cloves
18 bulbs = x
x = 8 cloves × 18 bulbs
x = 144 cloves
Therefore, you will plant 144 cloves of garlic
Three hundred eighty four thousand two hundred and fifty eight
Answer:
Step-by-step explanation:
Given: △ABC, BC>AC, D∈ AC , CD=CB
To prove: m∠ABD is acute
Proof: In ΔABC, the angle opposite to side BC is ∠BAC and the angle opposite to side AC is ∠ABC.
Now, it is given that BC>AC, then ∠BAC>∠ABC.. (1)
In ΔBDC, using the exterior angle property,
∠ADB=∠DBC+∠BCD
∠ADB=∠DBC+∠BCA
⇒∠ADB>∠BAC (2)
From equation (1) and (2), we get
∠ADB>∠BAC
⇒∠ADB>∠ABC
⇒DB>AB
Hence, m∠ABD is acute
