the answer is $19,because you add the cost of 2 adult tickets 18$ and the cost of 1 student ticket 3$ and get 19$
Answer:
∠Q≅∠F
Step-by-step explanation:
Two triangles are said to be congruent if all the three sides of the triangles are equal and all the three angles are equal.
Given that: In triangle DEF, DE=8 in., DF=23 in., and ∡D=16°. In triangle PQR, PQ=23 in., PR=8 in., and ∡P=16°.
Hence we can say that ΔDEF is congruent to ΔPQR. According to the side-angle-side (SAS) triangle congruence theorem: If two sides and the included angle of one triangle are equal to two sides and the included angle of another triangle, the triangles are congruent.
Therefore:
DF = PQ, DE = PR, EF = RQ, ∠D = ∠P, ∠E = ∠R and ∠F = ∠Q
Take 50 and divide it by 2, that will give you 25. Ming will have to play 25 hours of gaming time.
If (ax + 2)(bx + 7) = 15(x
2) + cx + 14 for all values of x, and a + b = 8 then the two possible values for c is 31 and 41.
<h3>
What is meant by linear equation?</h3>
A linear equation is an algebraic equation with only a constant and a first-order (linear) term of the form y = mx + b, where m is the slope and b is the y-intercept. The above is sometimes referred to as a "linear equation of two variables," where y and x are the variables.
Let the equation be
(ax + 2)(bx + 7) = 15
+ cx + 14
(ax + 2)(bx + 7) = ab
+ 7ax + 2bx + 14 = ab
+ (7a + 2b) + 14
On comparing both equations
ab = 15 ------ (1)
7a + 2b = c -------(2)
Also, it is given that a + b = 8 --------(3)
From equations (1) and (3) it can be observe that either a or b equal to 3 or 5
From equation (2),
When a = 3 and b = 5, then c = 7(3) + 2(5) = 21 + 10 = 31
When a = 5 and b = 3, then c = 7(5) + 2(3) = 35 + 6 = 41
Therefore, the correct answer is option D) 31 and 41
To learn more about linear equation, refer to:
brainly.com/question/2030026
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