8 baseball cards + 5 football cards= 13 cards
8 baseball cards per every 13 total cards.
78÷13=6
6×8= 48
48 Baseball Cards in total
Answer:
Step-by-step explanation:
we know that
An exterior angle of a triangle is equal to the sum of the opposite interior angles.
see the attached figure to better understand the problem
so
∠DEF=∠ECD+∠CDE
substitute the given values
solve for x
Combine like terms
Group terms
Find the measure of angle CDE
substitute the value of x
Answer:
x = 5, x = 1
Step-by-step explanation:
The quadratic equation 0 = 4(x - 3)2 - 16.
Using binomial theorem, (a - b)2 = a2 - 2ab + b2 to expand (x - 3)2.
0 = 4(x2 - 6x + 9 ) - 16.
Using distributive property to multiply 4 by x2 - 6x + 9.
0 = 4x2 - 24x + 36 - 16.
Subtract 16 from 36 to get 20.
0 = 4x2 - 24x + 20.
4x2 - 24x + 20 = 0.
Divide both sides by 4.
x2 - 6x + 5 = 0.
To solve the equation, factor and rewrite as x2 + ax + bx + 5
a + b = -6, ab = 1(5) = 5.
a = -5, b = -1.
Rewriting x2 - 6x + 5 as
(x2 - 5x) + (-x + 5)
Factor x in the first and -1 in the second group.
x(x - 5) - (x - 5)
Factor out common term
(x - 5)(x - 1)
By solving the above, we get
x = 5, x = 1
Answer:h(x)=g(x+5)+1
Step-by-step explanation:
9514 1404 393
Answer:
m∠c = 52°
Step-by-step explanation:
Corresponding angles are congruent:
13x +11° = 15x -7° . . . . . the corresponding angles have equal measures
18° = 2x . . . . . . . . . . . . add 7° -13x to both sides
9° = x . . . . . . . . . . divide by 2
Now, we can find c. It is supplementary to the corresponding angles.
c = 180° -(15x -7°) = 180° -15(9°) +7° . . . . . substitute for x
m∠c = 52°