All categories

3 years ago

Anyone can help me ?

Mathematics

1 answer:

qaws [65]3 years ago

5 0

9514 1404 393

Answer:

∠x = 80°
∠y = 40°
∠z = 60°

Step-by-step explanation:

The angle marked x and the one marked 100° form a linear pair, so are supplementary. The measure of x is ...

x = 180° -100° = 80°

The angle marked 40° and the one marked y are "alternate interior angles" with respect to the parallel lines and the diagonal that crosses them. As such, they have the same measure:

y = 40°

The angle marked 100° and the sum of angles in the lower right corner are "corresponding" angles, so have the same measure. That is ...

100° = 40° +z

z = 100° -40° = 60°

You might be interested in

Can somebody help me wit this ? Cause Ion understand this .

Triss [41]

Answer:

wow that's nice of your

4 0

3 years ago

Read 2 more answers

Please solve this question!!

GaryK [48]

Answer: (i) 1/221 (ii) 11/221 (iii) 95/663 (iv) 1/663

Step-by-step explanation:

(i) A deck of cards contains 4 Kings out of 52 total cards

1st draw: 4 Kings out of 52 total cards → 4/52 = 1/13

2nd draw: 3 remaining Kings out of 51 total remaining cards → 3/51 = 1/17

1st Draw 2nd Draw Outcome Probability

King: P(K) = 1/13 King: P(K₂/K₁) = 1/17 King, King (1/13) x (1/17) = 1/221

*************************************************************************************************

(ii) A deck of cards contains 4 Jacks, 4 Queens, & 4 Kings out of 52 total cards

1st draw: 12 Face cards out of 52 total cards → 12/52 = 3/13

2nd draw: 11 remaining Face cards out of 51 total remaining cards → 11/51

1st Draw 2nd Draw Outcome Probability

Face: P(F) = 3/13 Face: P(F₂/F₁) = 11/51 Face,Face (3/13) x (11/51) = 11/221

*************************************************************************************************

(iiI) A deck of cards contains 26 black cards out of 52 total cards but there are 2 black Jacks, 2 black Queens, and 2 black Kings.

1st draw: 20 Black (not Face) cards out of 52 total cards → 20/52 = 5/13

2nd draw: 19 remaining Black (not Face) cards out of 51 total remaining cards → 19/51

1st Draw 2nd Draw Outcome Probability

Black: P(B~) = 5/13 Black: P(B~₂/B~₁) = 19/51 B~,B~ (5/13) x (19/51) = 95/663

*************************************************************************************************

(ii) A deck of cards contains 4 Aces out of 52 total cards

1st draw: 4 Aces out of 52 total cards → 4/52 = 1/13

2nd draw: 1 Queen of Hearts out of 51 total remaining cards → 1/51

1st Draw 2nd Draw Outcome Probability

Ace: P(A) = 1/13 Qh: P(Qh₂/A₁) = 1/51 Ace,Queen(h) (1/13) x (1/51) = 1/663

7 0

3 years ago

If Professor Wilson found that the test scores of his students had a variance of 4.4, what is the standard deviation? Type a num

malfutka [58]

Answer:

The standard deviation will be: 2.1

Step-by-step explanation:

We know that standard deviation is basically the square root of variance.

Using the formula to calculate the standard deviation

$s=\sqrt{s^2}$

The variance = s² = 4.4

so the standard deviation can be calculated as:

standard deviation $=\sqrt{s^2}$

$=\sqrt{\left(4.4\right)^}$

$=2.1$

Therefore, the standard deviation will be: 2.1

8 0

3 years ago

Find the measure of b+d. A. 74 B. 90 C. 32 D. 58

Sav [38]

Answer:

B. 90°

Step-by-step explanation:

Quadrilateral inscribed in the circle with center O is a cyclic quadrilateral.

Opposite angles of a cyclic quadrilateral are supplementary.

Therefore,

(b + d) + (32° + 58°) = 180°

b + d + 90° = 180°

b + d = 180° - 90°

b + d = 90°

4 0

3 years ago

17 dozen cookies are made in 2 hours. At this rate, how many are made in 5 hours?

prohojiy [21]

Answer:

= 12 miles per hour

Step-by-step explanation:

thats the answer i promise plus im in 6th grade

7 0

2 years ago