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Zanzabum
3 years ago
13

Factor the equation a² - a - 12

Mathematics
1 answer:
Kaylis [27]3 years ago
6 0

Answer:

a = -4

a = 3

Step-by-step explanation:

Hope that helps

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Find the value of b.
Nesterboy [21]

Answer: 230^{\circ

Step-by-step explanation:

For convenience, I labeled some points as shown in the attached picture.

Also, I assume \overline{AB} and \overline{BC} are tangents to the circle.

  1. \overline{BO} \cong \overline{BO} (reflexive property)
  2. \overline{AB} \cong \overline{BC} (tangents drawn from a common external point are congruent)
  3. \angle BAO \cong \angle BCO (right angles are congruent)

Therefore, we know \triangle ABO \cong \triangle CBO by HL.

Thus, by CPCTC,

\angle AOB \cong \angle BOC \implies m\angle BOC=65^{\circ}\\\\\implies m\angle AOC=130^{\circ}

This means the measure of minor arc AC is 130^{\circ}, and thus b=360^{\circ}-130^{\circ}=\boxed{230^{\circ}}

7 0
1 year ago
In decimal form, to the nearest tenth, what is the probability that a randomly selected riverside high school student is in twel
Kitty [74]

Answer: 0.4 which is choice C

====================================

Work Shown

Focus on the "riverside high school" row only

A = number of twelfth graders = 200

B = number of students = 500

P = probability of picking a twelfth grader

P = A/B

P = 200/500

P = 2/5

P = 0.4

8 0
3 years ago
Read 2 more answers
SAT scores: The College Board reports that in 2009, the mean score on the math SAT was 582 and the population standard deviation
Andrews [41]

Answer:

we can conclude that there is no significant evidence to conclude that the mean score in 2010 differs from the mean score in 2009.

Step-by-step explanation:

H0 : μ = 582

H1 : μ < 582

Test statistic :

T = (xbar - μ) ÷ σ/√n

Xbar = 515 ; n = 20 ; σ = 120

T = (515 - 582) ÷ 120/√20

T = -67 / 26.832815

T = 2.50

Pvalue at t score = 2.50 ; df = 19 is 0.0187

At α = 0.0187

Pvalue > α ; Hence, we fail to reject the Null

Hence, we can conclude that there is no significant evidence to conclude that the mean score in 2010 differs from the mean score in 2009.

7 0
3 years ago
What is the probability that a randomly number from 20 to 30 is divisible by 3 and then divisible by 12 after replacing first
tester [92]
Probability of divisibility by3=4/11
probability of divisibility by 12 =1/11
probability of divisibility by 12 and 3=4/11×1/11
answer is 4/121

7 0
3 years ago
A dog chased after a dandelion for 0.5 km, stopped to take a rest, and continued to chase after the dandelion for 750 m. How man
Annette [7]
1.25km Is How Far The Dog Traveled (1,250m)

5 0
3 years ago
Read 2 more answers
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