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3 years ago

4th out of 10 questions

Mathematics

1 answer:

lisabon 2012 [21]3 years ago

6 0

(9, 15) since when you multiply them by 3 both values are equivalent.

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C and ∠D are vertical angles with m∠C=−x+26 and m∠D=2x−10 . What is m∠D ? Enter your answer in the box. °

ANEK [815]

Angle c and angle d are congruent. Congruent means they have the same the measure, or they have EQUAL measures. You set the two values equal to each other and solve for x.
X+26=2x-10 subtract x from both sides
26=x-10 add 10 to both sides
36=x

Now substitute x back in for angle d.
2(36)-10 = 62

4 0

3 years ago

Two parallel lines are crossed by a

Anni [7]

Answer:

Option C.

Step-by-step explanation:

Let as consider parallel lines r and s are cut by transversal q. On line s where it intersects with line q, the uppercase left angle is 125 degrees and the bottom right angle is d degrees.

We need to find the value of d.

If a tranversal line intersect two parallel lines, then the alternate exterior angles are equal.

Uppercase left angle and bottom right angle are alternate exterior angles. So we can say that

d = 125°

Therefore, the correct option is C.

6 0

3 years ago

Read 2 more answers

What is the measure of angle Z?

bezimeni [28]

Should be 34 degrees

5 0

3 years ago

Geometry-9 1117 self test

Tatiana [17]

$2 + 2 = 4$

........................

8 0

4 years ago

A random draw is being designed for 210 participants. A single winner is to be chosen, and all the participants must have an equ

OlgaM077 [116]

Answer:

Option: D is the correct answer.

D) 4

Step-by-step explanation:

A random draw is being designed for 210 participants.

If the winner is to be drawn using 10 balls numbered 0 through 9.

That is for the 210 participants we have to get a 210 unique numbers so that each participant winning chance is denoted by a unique number.This means that n balls are to be drawn out of the 10 balls such that we get total 210 choices irrespective of their order.

Hence, we have to find n such that:

$10_C_n=210$

Now when n=10

we have:

$10_C_{10}=1\neq 210$

Hence, option:A is incorrect.

when n=6 we have:

$10_C_6=\dfrac{10!}{6!\times (10-6)!}\\\\\\10_C_6=\dfrac{10!}{6!\times 4!}\\\\\\10_C_6=210$

n=5

$10_C_5\\\\=\dfrac{10!}{5!\times (10-5)!}\\\\\\=\dfrac{10!}{5!\times 5!}\\\\=252\neq 210$

n=4

$10_C_4=\dfrac{10!}{4!\times (10-4)!}\\\\10_C_4=\dfrac{10!}{4!\times 6!}\\\\10_C_4=210$

So, either 4 or 6 balls can be drawn in order to obtain 210 choices but we are asked to find the minimum number of balls and as 4<6 .

Hence, a minimum of 4 balls need to be drawn so that each receives a unique number.

4 0

3 years ago

Read 2 more answers