Answer:
Measure of angle 2 and angle 4 is 42°.
Step-by-step explanation:
From the figure attached,
m∠ABC = 42°
m(∠ABD) = 90°
m(∠ABD) = m(∠ABC) + m(∠DBC)
90° = 43° + m(∠DBC)
m(∠DBC) = 90 - 43 = 47°
Since ∠ABC ≅ ∠4 [Vertical angles]
m∠ABC = m∠4 = 42°
Since, m∠3 + m∠4 = 90° [Complimentary angles]
m∠3 + 42° = 90°
m∠3 = 90° - 42°
= 48°
Since, ∠5 ≅ ∠3 [Vertical angles]
m∠5 = m∠3 = 48°
m∠3 + m∠2 = 90° [given that m∠2 + m∠3 = 90°]
m∠2 + 48° = 90°
m∠2 = 90 - 48 = 42°
m∠3+ m∠4 = 90° [Since, ∠3 and ∠4 are the complimentary angles]
48° + m∠4 = 90°
m∠4 = 90 - 48 = 42°
Therefore, ∠2 and ∠4 measure 42°.
Answer:
- y = 2x + 3
- y = -6x
- y = -x + 2
- y = 2x - 7
Step-by-step explanation:
<u>Slope-intercept form:</u>
<em>Hint. if we have x = 0, then the y-coordinate is the same as b</em>
<u>Slope</u>
33.
- m = (9 -(-3))/(3 - (-3)) = 12/6 = 2
- b = 3 as per table (0, 3)
34.
- m = (0-12)/(0 - (-2)) = -12/2 = -6
- b = 0, as per table (0, 0)
35.
- m = (2 - (-2))/(0 - 4) = 4/-4 = -1
- b = 2, as per table (0, 2)
36.
- m = (-5 - (-1))/ (1 -3) = -4/-2 = 2
Using point (3, -1)
- -1 = 2*3 + b
- b= -1 - 6= - 7
<span>7e^(×/3)=14
</span><span>e^(×/3)=14/7
</span>e^(×/3)=2
take ln of both sides;
lne^(×/3)=ln2
****You should be familiar that lne^x=x as ln is the inverse function of e and vice versa****
then;
x/3=ln2
x=3ln2
x approximately is equal to 2.1
The answer is the first row.
Explanation:
8 * 10^7 = 80,000,000 -- 2 * 10^4 = 20,000
80,000,000 divided by 20,000 = 4,000, so it is 4,000 times larger
Therefore, the first answer is correct.
Hope I helped and good luck!
