The triangles ABD, ADC and ABC are similar (AA stands for "angle, angle" and means that the triangles have two of their angles equal).
If two triangles have two of their angles equal, the triangles are similar.
Therefore the sides of triangles are in proportion.
cross multiply
Use the Pythagorean theorem for calculate x:
The most reasonable answer is D.
8.8 will round to 9 and 2.7 will round to 3, and the division will round to 3. Bruce's answer rounds to 4, so his answer is not reasonable.
Answer:
Ok if you look at the figure, it is a vertical angle. This means that the angle opposite to each other is congruent.
m<1 is congruent to m<3
m<2 is congruent to m<4
m<3 is 60⁰ and is congruent to m<1. This means that m<1 is 60⁰. m<4 is 30⁰ and is congruent to m<2. This means that m<2 is 30⁰.
m<1 = 60⁰
m<2 = 30⁰
m<3 = 60⁰
m<4 = 30⁰
Hope this helps, thank you :) !!
Price for <span>roller coaster ride:x
</span><span>Prices for the entry fee:y
</span><span>From table: for 5 rides total price is $35: 5x+y=35
for 11 rides total price is $59: 11x+y=59
</span><span>5x+y=35⇒y=35-5x
</span><span>11x+y=59
y=35-5x
11x+35-5x=59⇒6x=59-35
y=35-5x
6x=24⇒x=24/6
x=4⇒y=35-5*4
y=15
Price for entry fee is $15, </span><span>and for each roller coaster ride $4.</span>
Answer:
Step-by-step explanation:
Solve by substitution. Solve the second equation for x:
Insert the value of x into the first equation:
Solve for y. Simplify multiplication using the distributive property:
Subtract 190 from both sides:
Isolate the variable to find its value. Divide both sides by -29:
Now take the value of y and insert back into either equation to solve for x:
Subtract 6 from both sides:
Divide both sides by 5:
Therefore, the solution to the system is .
:Done
