Answer:
DB = CA (Proved)
Step-by-step explanation:
Statement 1.
∠D = ∠C, M is the midpoint of DC and ∠1 = ∠2
Reason 1.
Given
Statement 2.
Between Δ DBM and Δ CAM,
(i) DM = CM,
(ii) ∠D = ∠C and
(iii) ∠DMB = ∠CMA
Reason 2.
(i) given
(ii) given and
(iii) ∠ DMB = ∠1 + ∠AMB and ∠CMA = ∠2 + ∠AMB
Since ∠1 = ∠2, so, ∠DMB = ∠CMA.
Statement 3.
Δ DBM ≅ Δ CAM
Reason 3.
By angle-side-angle rule.
Statement 4.
DB = CA
Reason 4.
Corresponding sides of two congruent triangles. (Answer)
Answer:
The reason for the columns adding up to 1 is that each individual consumes a proportion or a fraction of the total quantity produced under each product category and every product is consumed. There is no leftover.
When the proportions of all the individuals are added up, the sum is always 1 under each product category because each individual can only consume a part of the whole.
Step-by-step explanation:
a) Data and Calculations:
Food Clothes Housing Energy High Quality 100
Proof Moonshine
Farmer 0.25 0.15 0.25 0.18 0.20
Tailor 0.15 0.28 0.18 0.17 0.05
Carpenter 0.22 0.19 0.22 0.22 0.10
Coal Miner 0.20 0.15 0.20 0.28 0.15
Slacker Bob 0.18 0.23 0.15 0.15 0.50
Total 1.00 1.00 1.00 1.00 1.00
Answer:
20 cans
Step-by-step explanation:
Eileen collected 78 empty cans to recycle
Carl collected 62 empty cans to recycle
They pack equal number of cans in 7 boxes
Therefore the number of cans in each boxes can be calculated as follows.
= 62 + 78/7
= 140/7
= 20
Hence there were 20 cans in each boxes
Hello,
y+3=-6(x+2)
==>y=-6x-15
Answer A
To find your answer you must substitute y for 0.8
4x + (8)(0.8) = 40
Now solve for x
====================================================================
SOLVING...
<span>4x + (8)(0.8) = 40
</span><span>4x + 6.4 </span>= <span>40
</span>
Subtract 6.4 from each side
<span><span><span>4x</span>+ 6.4 </span>− 6.4 </span>= <span>40 − <span>6.4
</span></span>4x = 33.6
Divide each side by 4
4x ÷ 4 = 33.6 ÷ 4
x = 8.4
