How many points are needed to name a specific line?
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Example: a•------------------•b
You can't just call the line Line A because A is not a line, it's a point. But if you add another point, it makes a line, which would be called Line AB.
2 points to name a line .
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Lydia makes $7,000 per month in New York City at her interior design company. She can't spend more than 25% of her income on the one bedroom apartment she's looking for
What is m∠B?
_________ °
Answers
Answer:
Measure of ∠B is 60°
Step-by-step explanation:
Given triangle ABC is similar to triangle QRS.
m∠A = 45° and m∠S = 75°
we have to find the measure of ∠B.
As triangles are similar then corresponding angles are congruent.
⇒ ∠A≅∠Q, ∠B≅∠R, ∠C≅∠S
hence, m∠C=m∠S=75°
By angle sum property
m∠A+m∠B+m∠C=180°
⇒ 45°+m∠B+75°=180°
⇒ m∠B+120°=180°
⇒ m∠B=60°
hence, measure of ∠B is 60°
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Answers
Price : 360
Store A: Sale of 10% off and a successive discount of 10% off.
360 * (100-10)% = 360 * 90% = 324
324 * (100-10)% = 324 * 90% = 291.60
Store B: Sale of 15% with no additional discount
360 * (100-15)% = 360 * 85% = 306
Store C: Sale of $35 off and a successive discount of 10% off
360 - 35 = 325
325 * (100-10)% = 325 * 90% = 292.50
Store A has the least amount to pay for an item at price of 291.60
Answer:
option b
Step-by-step explanation:
Answers
Answers
Answer:
a. Rational number 1.26
Simplest radical 3−√3
b. Simplest radical 28+10√3
Rational number 45.32
c. Rational number 89
Step-by-step explanation:
a. √3(√3-1)
To get the simplest radical
Apply the distributive property.
√3*√3-√3
Combine using the product rule for radicals.
√3*3+√3*−1
Move −1 to the left of √3.
√3*√3*3-1*√3
Multiply 3 by 3.
√9−1*√3
Rewrite 9 as 3^2
√3^2-1 *√3
Pull terms out from under the radical, assuming positive real numbers.
3−1*√3
Rewrite −1√3 as −√3.
3−√3
Rational number 1.26
b. (5+√3)²
Expand
(5+√3)²= 25 +5*√3+5*√3+3= 28 +10√3
Simplest radical 28+10√3
Rational number 45.32
c. (10+√11)(10-√11)
Expand
(10+√11)(10-√11)= 10*10+ 10*-√11+10*√11+√11*-√11
=100+ 10*-√11+10*√11- 11
=89- 10*√11+10*√11
=89
mixed number
proper fraction
improper fraction
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Answer:
improper fraction
Step-by-step explanation:
Improper fractions are fractions that have a larger numerator than denominator like in this case.
Example:
Mixed numbers contain a whole number and a fraction.
Example:
3
Proper fractions are fractions that have a larger denominator than numerator.
Example: