Answer:
Step-by-step explanation:
<u>Isosceles trapezoid has congruent angles at each base:</u>
- ∠C ≅ ∠B, ∠D ≅ ∠A
- m∠B = m∠C = 130°
Answer:
$481.25
Step-by-step explanation:
The formula for simple interest is i = p*r*t, in which p is the principal, r is the interest rate as a decimal fraction, and t is the time in years.
Here p = $3500, r = 0.055 and t =2.5 yrs, and so the simple interest is
i = ($3500.00)(0.055)(2.5 yr), or
i = $481.25
The first part of the expression 4n is because n is the amount of almond trees and to find the walnut trees, you need to multiply the number of almond trees (n) by for (4n). you would also add 15 because it says he has 15 more than 4 times as many walnut trees.
so here's the breakdown of the sentence:
Daquan has 15 more than (15 +) 4 times as many (4n) walnut trees in his orchard as he has almond trees.
hopefully this makes sense! have a nice day
<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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Answer:
B
Step-by-step explanation:
Givens
a^2 + b^2 = c^2
a = 4x
b = x + 2
c = 3x + 4
Solution
(4x)^2 + (x + 2)^2 = (3x + 4)^3 Remove all the brackets.
16x^2 + x^2 + 4x + 4 = 9x^2 + 24x + 16 Collect like terms on the left
17x^2 + 4x + 4 = 9x^2 + 24x + 16 Subtract the terms on the right
8x^2 - 20x - 12 = 0
This factors into
(4x - 12)(2x + 1)
There are 2 answers
4x - 12 = 0
4x = 12
x = 12/4
x = 3
or
2x + 1 = 0
2x = - 1
x = - 1/2
You have to look at x = -1/2 carefully. The problem is that 4x = 4*(-1/2) = - 2 which is not possible in Euclidean Geometry.
So the only answer is x = 3