This photo is the explanation
Step-by-step explanation:
from what I can see there are 2 options to make the 2 triangles congruent :
either the opposite sides must be equal or the neighboring sides must be equal.
so, either
5x = 3x + 10
and
5x - 2 = 4x + 3
or
5x = 4x + 3
and
5x - 2 = 3x + 10
for the first
5x = 3x + 10
2x = 10
x = 5
control
5x - 2 = 4w + 3
5×5 - 2 = 4×5 + 3
23 = 23
correct.
for the second
5x = 4x + 3
x = 3
control
5×3 - 2 = 3×3 + 10
15 - 2 = 9 + 10
13 = 19
no, not a valid solution.
so, x = 5
The ticket price of the item after applying coupon B first and then coupon A is $65.45
Coupons reduce the ticket price of an item.
<u><em>Ticket price</em></u><u><em> after </em></u><u><em>coupon B i</em></u><u><em>s applied </em></u>
An item costs $80. After applying the coupon B which gives, $3 off the price, the cost of the item reduces to $77 ($80 - $3).
The ticket price of the item after coupon B is applied is $77
<em><u>Ticket price </u></em><em><u>after c</u></em><em><u>oupon A </u></em><em><u>is applied </u></em>
The item costs $77 when coupon B is applied. If the discount is 15% off on coupon A, it means that the item costs 85%( 100 - 15%) of its initial price.
Ticket Price of the item = percentage price x price of the item after the first coupon B was applied
85% x $77
0.85 x $77 = $65.45
A similar question was solved here: brainly.com/question/17413216?referrer=searchResults
Answer:
x = -1.2
Step-by-step explanation:
Th given equation is :
34(x + 4) = 14(x + 8)
Step (A) Distribute 34 on the left side of the equation such as :
34x + 34(4) = 14(x + 8)
34x + 136 = 14(x + 8)
Step (B) Distribute 14 on the right side of the equation such as :
34x + 136 = 14x + 14(8)
34x + 136 = 14x + 112
Step (C) Subtract 14x from each side of the equation.
34x + 136 - 14x = 14x + 112 -14x
20x + 136 = 112
Step (D) Subtract 136 from each side of the equation.
20x + 136 -136 = 112 -136
20x = -24
Step (E) Divide both side by 20
So, the value of x is (-1.2). Hence, steps (D) and (E) are incorrect.
