Answer:
The triangles are congruent by
SSS
Step-by-step explanation:
Given:
First Label the Diagram:
AB ≅ CD
AD ≅ BC
To Prove:
Δ ABC ≅ Δ CDA
Proof:
In Δ ABC and Δ CDA
AB ≅ CD ....……….{Given}
BC ≅ DA …………..{Given}
AC ≅ AC ……….{Reflexive Property}
Δ ABC ≅ Δ CDA ….{ By Side-Side-Side test}
140 tickets sold at the door
Step by Step Explanation:
x = tickets sold in advance
y = tickets sold at the door
We use the formula ax+by=c and a+b=c
x + y = 514
17x + 20y = 9158
y = 514 - x
17x + 20(514 - x)
17x + 10,280 - 20x = 9,158
-3x + 10,280 = 9,158
-3x = -11222
x = 374
This is for tickets sold in advance so we need to find y
374 + y = 514
y = 140
140 tickets were sold at the door
Answer:
5.1 days
Step-by-step explanation:
Given in the question,
initial amount of substance = 34 grams
k-value = 0.137
To find the half life of this substance we will use following formula

here N(0) is initial amount of substance
t is time in days
Plug values in the formula

1/2 = e^{-0.137t}
Take logarithm on both sides
ln(1/2) = ln( e^{-0.137t})
ln(1/2) = -0.137t
t = ln(1/2) / -0.137
t = 5.059
t ≈ 5.1 days (nearest to tenths)
Looking at 49 and 21, you immediately know that 7 can be divided out of both.
49:21
=49/7:21/7
=7:3
7:3 is the answer.
Hope this helps!
Answer:
A.35
Step-by-step explanation:
trust bro