Explanation: Given: Clayton bikes 3/8<span> of </span>14.5 miles<span>. </span>38⋅14.5<span>1=43.58=5.4375 </span>miles biked<span>. Left to </span>bike<span> to </span>beach<span>: 14.4−5.4375=9.0625 </span>miles<span>. OR. </span>38 biked<span>, means 58 left to </span>bike: 58⋅14.5<span>1=72.58=9.0625 </span>miles<span>. Was this helpful? </span>
-0.6875 is the answer to number 5
Keywords:
<em>equation, operations, equivalent, binomial, square root
</em>
For this case we have an equation in which we must apply operations to rewrite it in an equivalent way. We must start by raising both sides of the equation to the square. Thus, we eliminate the square root of the left side of equality and finally solve the binomial of the right side of equality.
So we have:
By definition:
Thus, 
is equivalent to 
Answer:
Option D
4(x+9)
Solution
1) <span>Distribute
</span><span><span>4x+4×9
</span></span>
2) <span>Simplify</span><span> </span><span>4×9 t</span><span>o</span><span> </span><span>36
</span><span><span>4x+36
ANSWER = 4x+36 </span></span>
Answer:
Step-by-step explanation:
Given:
∠DCE ≅ ∠DEC
∠B ≅ ∠F
DF ≅ BD
To prove:
ΔABC ≅ ΔGFE
Solution:
Statements Reasons
1). ∠DCE ≅ ∠DEC 1). Given
2). ∠ACB ≅ ∠GEF 2). Vertically opposite angles to the
congruent angles.
3). ∠B ≅ ∠F 3). Given
4). DB ≅ DF 4). Given
5). DC + CB ≅ DE + EF 5). Segment addition postulate
6). DC ≅ DE 6). Property of isosceles triangle
7). CB ≅ EF 7). Transitive property
8). ΔABC ≅ ΔGFE 8). ASA property of congruence
