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marishachu [46]
3 years ago
5

Which triangles could you use the HL Theorem to prove that Δ 1 = Δ 2?

Mathematics
2 answers:
UNO [17]3 years ago
7 0
Number 3. I think so.
MrRissso [65]3 years ago
6 0

Answer:3rd

Step-by-step explanation:

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31 billion in scientific notation
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31 to the 9th power (31 9... i cant make the number small lol)
5 0
3 years ago
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A computer programming team has 17 members. (a) How many ways can a group of nine be chosen to work on a project? As in Example
Natali5045456 [20]

The number of groups that can be chosen from the team of 17 depends on the given conditions of the selection.

The correct responses are;

(a) The number of ways of choosing groups of 9 from the 17 members are 24,310 ways.

(b) (i) The number of groups of 9 containing 5 women and 4 men are 8,820 groups.

(ii) The number of groups of 9 that contain at least one man is 24,309 groups.

(iii) The number of groups of 9 that contain at most 3 women are 2,649 groups.

(c) If two team members refuse to work together on projects, the number of groups of 9 that can be chosen are 17,875 groups.

(d) If two team members must work together or not at all the number of groups of 9 that can be chosen are 1,430 groups.

Given,

The combination of n objects taking r at a time is given as follows

ₙCr = (ⁿr)

(a) The number of ways of choosing groups of 9 from the 17 members is given as follows;

Number of ways of choosing groups of 9 = (17, 9)  = 24,310 ways.

(b) (i) Number of women = 9

Number of men = 8

Number of groups of 9 containing 5 women and 4 men = (9, 5) x (8, 4)

(9, 5) x (8, 4) = 126 x 70 = 8820

Number of groups of 9 containing 5 women and 4 men = 8,820 groups.

(ii) The number of groups that contain at least one man is (17, 9) - (9, 9)

(17, 9) - (9, 9) = 24,310 - 1 = 24,309

The number of groups that contain at least one man are 24,309 groups.

(iii) The number of groups of 9 that contain at most 3 women if given as follows;

(8, 8) × (9, 1) + (8, 7) × (9, 2) + (8, 6) × (9, 3) = 2649

The number of groups of 9 that contain at most 3 women are 2,649 groups.

(c) Given that two team members refuse to work together on projects, the number of groups of 9 that can be chosen are (15, 9) + 2 × (15, 8)

(15, 9) + 2 × (15, 8) = 5,005 + 2 × 6,435 = 17,875

(d) Two team members must work together or not at all is (15, 7) - (15, 9)

(15, 7) - (15, 9) = 6,435 - 5,005 = 1,430

The number of groups of 9 that can be chosen two team members must work together or not at all are 1,430 groups.

Learn more about number of ways here;

brainly.com/question/25310371

#SPJ4

7 0
1 year ago
Which equation is parallel to the line and passes through the given point?
makkiz [27]
A.)y=2/3x-7 is the answer
5 0
3 years ago
X squared plus 8X +12
Xelga [282]

Answer:

(x+2)(x+6)

Step-by-step explanation:

x2 + 8x +12

x              2

x              6

5 0
3 years ago
Simplify<br> x2 + 6 − (3x2 − 2x − 5)
Karolina [17]

Answer:

- 2x² + 2x + 11

Step-by-step explanation:

Given

x² + 6 - (3x² - 2x - 5) ← distribute parenthesis by - 1

= x² + 6 - 3x² + 2x + 5 ← collect like terms

= - 2x² + 2x + 11

4 0
3 years ago
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