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IRISSAK [1]
3 years ago
8

What is the answer? please help!!

Mathematics
1 answer:
jenyasd209 [6]3 years ago
4 0

Answer:

measure of angle 2 is 104.

measure of angle 3 is 76.

Step-by-step explanation:

To start off, we know that angle 3 and 5 are alternate exterior angles. This means they are congruent so measure of angle 3 is the same as 5 making it 76 degrees. Since angle 3 and angle 2 are a linear pair, meaning both the angles add up to 180 degrees. Since angle 3 we already know is 76, we just subtract 76 from 180 to get the measure of angle two which makes it 104 degrees.

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Step-by-step explanation:

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4 years ago
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Strontium-90 has a half-life of 28.8 years. If you start with a 300-gram sample of strontium-90,
Kazeer [188]

Answer:  2.66 × 10⁻¹³

<u>Step-by-step explanation:</u>

First, use the decay formula   A=A_oe^{kt}   where

  • A is the final amount (amount left)
  • A₀ is the initial amount (amount you started with)
  • k is the rate of decay (you need to solve for this)
  • t is the time

Given:

  • A = 1/2(300) = 150
  • A₀ = 300
  • k = unknown
  • t = 28.8

150=300e^{28.8k}\\\\0.5=e^{28.8k}\\\\ln(0.5)=ln(e^{28.8k})\\\\ln(0.5)=28.8k\\\\\\\dfrac{ln(0.5)}{28.8}=k\\\\\\\large\boxed{-0.0240676=k}\\

Next, input the k-value and the new t-value to solve for A.

  • A = unknown
  • A₀ = 300
  • k = -0.0240676
  • t = 1440

A=300e^{1440(-.0240676)}\\\\\large\boxed{A=2.66\times 10^{-13}}\\

5 0
4 years ago
A school has 500 students. 340 are boys
bogdanovich [222]

Answer:

p = 8/25

Step-by-step explanation:

500 - 340 = 160 girls

p = 160/500

p = 8/25

5 0
3 years ago
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Norma-Jean [14]
The correct answer is -4
6 0
3 years ago
Find the sum.(62+5−3)+(2−9) <br> I will mark brainiest!
zzz [600]

Answer:

57

Step-by-step explanation:

(62+5-3)+(2-9)

(67-3)+(-7)

64-7

= 57

4 0
3 years ago
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