Answer:
∠A = 166°
Step-by-step explanation:
We can imagine the parallel line to the left as a shifted version of the one on the right. As we move it further left along the line the in middle (called a <em>transversal</em>), ∠B will slide closer and closer to ∠A. Eventually, the two will totally coincide, showing that ∠B ≅ ∠A. We call ∠A and ∠B <em>corresponding angles</em>, because they can be made to perfectly overlap in that way.
Since corresponding angles are congruent, their measures must be equal, so in this example, we can say that
, and since 
and 
,
To solve for <em>x</em>, we can subtract 3x and 40° from both sides:
and divide both sides by 4:
We can now replace <em>x </em>with 18° in our expression for ∠A to find
Answer:
117,649
Step-by-step explanation:
Good luck! <3
Answer: x = 2
<u>Intersecting Chords states</u>:
⇒ 6 × x = 3 × (x + 2)
⇒ 6x = 3x + 6
⇒ 6x - 3x = 6
⇒ 3x = 6
⇒ x = 2
Step-by-step explanation:
1)
Put the values
2^5 -7³
32-343
-311
2)
Multiply 13 and 2 and the values power will be added as it is multiplication
26 (p^1+5) (h^3+1)
26 p^6 h^4
3)
Multiply -6 and -3and the values power will be added as it is multiplication.
18 (x^1+1) (y^2+3) (z^3+4)
18 x^2 y^5 z^7
4)
Divide -40 and 2 and the values power will be subtracted as it is division
-20 ( b^7-7) (c^5-1)
-20 b^0 c^4
Answer:
At least 55 tickets must be sold to cover the remaining cost of the party.
Step-by-step explanation:
Total money needed for the party = $350
The money already with the committee = $75
Now, the money yet to be collected = Total Party Budget - Money present
= $350 = $75 = $275
Now, the cost of 1 ticket = $5
Let us assume the number of tickets sold to cover the cost of party = m
⇒ The cost of m tickets = 5 m
The renaming cost = Total cost of m tickets
or, 5 m = $275
⇒ m = 275/5 = 55
or, m = 55
Hence, at least 55 tickets must be sold to cover the remaining cost of the
party by Josef.
