Answer:
correct choice is 1st option
Step-by-step explanation:
Two given triangles have two pairs of congruent sides: one pair of length 7 units and second pair of length 8 units. The third side is common, i.e the lengths of third sides are equal too.
Use SSS theorem that states that if three sides of one triangle are congruent to three sides of another triangle, then these two triangles are congruent.
Thus, given triangles are congruent by SSS theorem.
Answer:
Apprentice = $800
Journeyman = $1600
carpenter = $4000
Step-by-step explanation:
Let the apprentice earns X dollars.
Then ,
Journeyman will make 200% of apprentice's earning which is 2X.
Also,
Carpenter makes 250% of the earning that journeyman makes.
Which is 2.5(2X) = 5X
Their total earning should come to $6400.
Thus,
X + 2X + 5X = 6400
8X = 6400.
X = $800
So,
Earning of apprentice = X = $800
Earning of Journeyman = 2X = $1600
Earning of carpenter = 5X = $4000
Answer:
<u>150</u>
Step-by-step explanation:
Let :
⇒ The numbers can be denoted as <u>x</u>, <u>3x</u>, and <u>5x</u>
<u />
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Solving :
⇒ It mentions their sum is 270
⇒ x + 3x + 5x = 270
⇒ 9x = 270
⇒ x = 30
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Largest number :
⇒ 5x
⇒ 5(30)
⇒ <u>150</u>
A horizontal asymptote of a function f(x) is given by y = lim f(x) as x --> ∞ and x --> –∞. In this case,
Thus, the horizontal asymptote of f(x) is y = –2.
Answer:
∠8 * 4 = ∠7 ----------------(1)
∠8 + ∠7 = 180 ------------(2)
Taking the value of ∠7 from (1) and using it in (2):
<u><em>∠7 = 4 * ∠8</em></u>
<u><em /></u>
∠8 + ∠7 = 180
∠8 + (4 * ∠8) = 180
∠8 + 4∠8 = 180
5∠8 = 180
∠8 = 36° ---------------(3)
Using the value of ∠8 from (3) in (2):
∠8 + ∠7 = 180
36 + ∠7 = 180
∠7 = 144° and ∠8 = 36°
