You can divide the two values A = diameter of bacterium B = diameter of virus A/B = (10^(-6))/(10^(-7)) A/B = 10^(-6-(-7)) A/B = 10^(-6+7) A/B = 10^(1) A/B = 10 Since the ratio of the two diameters is 10, this means that the diameter of the bacterium is 10 times greater than that of the virus.
Eat!! Sleep!! and do what ever they want!!
or they just build a house
Answer:
0.3114
Option d is right
Step-by-step explanation:
Let X be the time spent on a treadmill in the health club
Given that research shows that on average, patrons spend an average of 42.5 minutes on the treadmill, with a standard deviation of 5.4 minutes
Also given that X is normal
the probability that randomly selected individual would spent between 30 and 40 minutes on the treadmill.
round off to two decimals tog et
the probability that randomly selected individual would spent between 30 and 40 minutes on the treadmill is 0.31
Hence option d is right
To answer this question you can write an equation that represents this situation.
I would subtract $11 (the cost per shirt) from the selling price to get $15 profit for each shirt. He paid $100 already and wants to profit $400, so the amount he needs to make is $500.
$15x = $500 would be the equation needed to answer this. x stands for the number of shirts.
Divide both sides by $15 to get
x = 33.33.... shirts.
He would need to sell at least 34 to make at least $400 profit.
<span>Question 1
Given: m∠H = 30°, m∠J = 50°, m∠P = 50°, m∠N = 100°
To prove that: △HKJ ~ △LNP
Statement Reason
1. m∠H = 30°, m∠J = 50°, m∠P = 50°, m∠N = 100° 1. given
2. m∠H + m∠J + m∠K = 180° 2. ?
3. 30° + 50° + m∠K = 180° 3. substitution property
4. 80° + m∠K = 180° 4. addition
5. m∠K = 100° 5. subtraction property of equality
6. m∠J = m∠P; m∠K = m∠N 6. substitution
7. ∠J ≅ ∠P; ∠K ≅ ∠N 7. if angles are equal then they are congruent
8. △HKJ ~ △LNP 8. AA similarity theorem
The reason that is missing in step 2 is triangle angle sum theorem.
</span>The triangle angle sum theorem states that t<span>he sum of the measures of the interior angles of a triangle is 180°.
</span>Question 2
<span>Given that △ABC is an isosceles triangle with legs AB and AC and △AYX is also an isosceles triangle with legs AY and AX.
To prove that △ABC ~ △AYX.
Statements Reasons
1. △ABC is isosceles with legs AB and AC;
△AYX is also isosceles with legs AY and AX. 1. given
2. AB ≅ AC and AY ≅ AX 2. definition of isosceles triangle
3. AB = AC and AY = AX 3. definition of congruency
4. AY • AC = AX • AC 4. multiplication property of equality
5. AY • AC = AX • AB 5. substitution property of equality
6. AY </span><span>• AC / AB = AX 6. division property of equality
7. AY/AB = AX/AC 7. division property of equality
</span><span>8. ? 8. ?
9. △ABC ~ △AYX 9. SAS similarity theorem
The statement and reason missing in the proof are ∠A ≅ ∠A; reflexive property</span>
<span>SAS Similarity or Side-Angle-Side similarity states that when two triangles have corresponding angles that are congruent and corresponding sides with identical ratios, then the triangles are similar.</span>
<span>Question 3 -
Given that line RS intersects triangle BCD at two points and is parallel to segment DC.
The statements thet are correct is △BCD is similar to △BSR.</span>
