Answer:
21.
Step-by-step explanation:
f(x) = 2x^2 - 3x + 7.
When x = -2,
f(-2) = 2(-2)^2 - 3(-2) + 7
= 2(4) - (-6) + 7
= 8 + 6 + 7
= 21.
Answer:
AC ≅ AE
Step-by-step explanation:
According to the SAS Congruence Theorem, for two triangles to be considered equal or congruent, they both must have 2 corresponding sides that are of equal length, and 1 included corresponding angle that is of the same measure in both triangles.
Given that in ∆ABC and ∆ADE, AB ≅ AD, and <BAC ≅ DAE, <em>the additional information we need to prove that ∆ABC ≅ ADE is AC ≅ AE. </em>This will satisfy the SAS Congruence Theorem. As there would be 2 corresponding sides that are congruent, and 1 corresponding angle in both triangles that are congruent to each other.
His mistake is he didn't make 6/10 to 60/100 he added them without changing the 6/10
Answer:
21.5 mm^2
Step-by-step explanation:
First find the area of the square
A = s^2 = 10^2 =100
Then find the area of the circle
d = 10 so r = d/2 = 10/2 =5
A = pi r^2
A = 3.14 (5)^2 =78.5
The difference is the shaded region
100-78.5 =21.5
+ <span>200g of 10% sugar solution: there is 200*10%= 20 g
+ </span><span>300g of 20% sugar solution: 300*20%= 60 g
The total of sugar: 20+60= 80g
And The </span><span>concentration is 80:(200+300)= 80:500= 16%
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