AD || BC
<span>• AB = CD </span>
<span>• ∠BAD = ∠CDA (a given condition ∵ ABCD is an isosceles trapezium) </span>
<span>The diagonals AC and BD create two ∆'s: ∆ABD, and ∆ACD </span>
<span>The two ∆'s are congruent (SAS). </span>
<span>(S): AB = CD </span>
<span>(A): ∠BAD = ∠CDA
</span><span>(S): AD = DA (common side) </span>
<span>
The corresponding sides of the two ∆'s, BD and AC, are also congruent. </span>
<span>(the two diagonals of the trapezium/trapezoid)
</span>
Answer:
The rate is 140 miles per hour
Step-by-step explanation:
We can use the formula distance is equal to rate times time
The distance is 700 miles and the time is 5 hours
D =rt
700 = r*5
Divide each side by 5
700/5 = 5r/5
140 =r
The rate is 140 miles per hour
There are 78 cookies in box C, 26 cookies in box B and 10 cookies in box A.
let the number of cookies in first box be represented mathematically as B-16
the number of cookies in second box be represented as B
the number of cookies in third box be represented as 3B
Since there are 124 cookies we can make an equation such that it becomes
B-16 +B +3B =124
Solving for B, we have
5B -16 =124
5B =124 +16
5B =130
B=130/5
B=26
Therefore Box A contains B-16 =26-16 =10 cookies
Box C contains 3B =3 X 26=78 cookies
See similar question here: brainly.com/question/23505776
Let's solve for x.<span>y=<span><span><span><span>−5</span>2</span>x</span>−5</span></span>Step 1: Flip the equation.<span><span><span><span><span>−5</span>2</span>x</span>−5</span>=y</span>Step 2: Add 5 to both sides.<span><span><span><span><span><span>−5</span>2</span>x</span>−5</span>+5</span>=<span>y+5</span></span><span><span><span><span>−5</span>2</span>x</span>=<span>y+5</span></span>Step 3: Divide both sides by (-5)/2.<span><span><span><span><span>−5</span>2</span>x</span><span><span>−5</span>2</span></span>=<span><span>y+5</span><span><span>−5</span>2</span></span></span><span>x=<span><span><span>−<span>2y</span></span>−10</span>5</span></span>Answer:<span>x=<span><span><span>−<span>2y</span></span>−10</span><span>5</span></span></span>
