Answer:
x = 5
Step-by-step explanation:
Δ EAB and Δ EDC are similar by the AA postulate , so the ratio of corresponding sides are in proportion , that is
= 
, substitute values
= 
( cross- multiply )
10(x + 3) = 4(2x + 10 ) ← distribute parenthesis on both sides
10x + 30 = 8x + 40 ( subtract 8x from both sides )
2x + 30 = 40 ( subtract 30 from both sides )
2x = 10 ( divide both sides by 2 )
x = 5
Answer:
The markup rate on each box=41%
Step-by-step explanation:
The markup rate is the additional price that a good is sold at expressed as a percentage. This can be expressed as;
R={(S-C)/C}×100
where;
R=markup rate
S=selling price
C=cost
In our case;
R=unknown
S=$20.50
C=$14.50
replacing;
R={(20.5-14.5)/14.5}×100
R=(6/14.5)×100
R=41.38% rounded off=41%
The markup rate on each box=41%
Answer: You did not include the answer to the equation so 48x+72 is the closet I could get to finding the expression
Hope this Helped!!!
Answer:
<u>The semi-trailer truck has the fastest average speed</u>
Step-by-step explanation:
Let's recall that the formula of the average speed is:
Average speed = Distance/Speed
Now, we can calculate the average speed for each class of vehicle, as follows:
Flatbed truck average speed = 144/5 = 28.8 miles per hour
<u>Semi-trailer truck average speed = 327/4 = 81.75 miles per hour</u>
Tanker truck average speed = 589/15 = 39.27 miles per hour
Which truck has the fastest average speed?
<u>The semi-trailer truck has the fastest average speed</u>
Answer:
m∠z= 58.7
Step-by-step explanation:
Remember, all triangles sum up to 180 degrees.
So, the equation would be: 31.3+90+m∠z= 180.
Step 1- Add to simplify.
(31.3+90)+m∠z= 180
121.3+m∠z= 180
Step 2- Subtract to both sides.
121.3+m∠z= 180
-121.3 -121.3
m∠z= 58.7
