Answer:
Step-by-step explanation:
Statements Reasons
1). Points A, B and C form the triangle 1). Given
2). Let DE be a line passing through 2). Definition of parallel lines
B and parallel to AC
3). ∠3 ≅ ∠5 and ∠1 ≅ ∠4 3). Theorem of Alternate
interior angles
4). m∠1 = m∠4 and m∠3 = m∠5 4). Definition of alternate angles
5). m∠4 + m∠2+ m∠5 = 180° 5). Angle addition and definition
of straight lines
6). m∠1 + m∠2+ m∠3 = 180° 6). Substitution
Henson's cost: 3x+y=203
Garcia's cost: 2x+3y=189
Step-by-step explanation:
Given,
Cost of each adult ticket = x dollars
Cost of 3 adult ticket = 3x
Cost of 2 adult ticket = 2x
Cost of each child ticket = y dollar
Cost of 3 child ticket = 3x
Henson's cost;
3 adult tickets + 1 child ticket = $203
3x+y=203
Garcia's cost;
2 adult tickets + 3 child tickets = $189
2x+3y=189
Henson's cost: 3x+y=203
Garcia's cost: 2x+3y=189
Keywords: linear equation, addition
Learn more about addition at:
#LearnwithBrainly
Step-by-step explanation:
Hey there!
The equation of a st.line passing through points (4,5) and (7,3) is;
<u>Put</u><u> </u><u>all values</u><u>. </u>
<u></u>
<u>Simplify</u><u> </u><u>it</u><u>. </u>
<u></u>
<u></u>
<u></u>
<u></u>
<u>Therefore the</u><u>required</u><u> </u><u>equation</u><u> </u><u>is</u><u> </u><u>2</u><u>x</u><u>+</u><u>3</u><u>y-23</u><u>=</u><u>0</u><u>.</u>
<em><u>Hope it helps</u></em><em><u>.</u></em><em><u>.</u></em>
Answer:
That would be the second triangle.
Step-by-step explanation:
It's not the fourth triangle.
It is the second (45-45-90) triangle. It has 2 equal sides so
sin 45 = opposite / hypotenuse and cos 45 = adjacent / hypotenuse and the opposite = adjacent side, making the cosine and sine the same value.
Answer:
<h3>
3.375 Bags</h3>
Step-by-step explanation:
Convert 9 into an improper fraction. Specifically 27/3. Then you would convert 2 2/3 into an improper fractions as well. To get 8/3. Next you will divide 27/3 by 8/3 to get 27/8. We get 27/8 because we end up multipliying 27/3 by the receprical of 8/3. Then if you simplify you get 3.375 as your answer.