Answer:
5
Step-by-step explanation:
congruent means sides are equal
Answer:
man can u send the pic of the diagram I will solve it
Answer:
a) 21/1240 = 0.017
b) 9/1240 = 7.26*10^-3
c) 3/2480 = 1.21*10^-3
Step-by-step explanation:
There are total 32 M&Ms in the bag
a) Probability that all three are blue M&Ms (without replacement)
(9/32)*(8*31)*(7/30) = 21/1240 = 0.017
b) Probability that the first one selected is blue, the second one selected is orange, and the third one selected is red
(9/32)*(6/31)*(4/30) = 9/1240 = 7.26*10^-3
c) Probability that the first two selected are red, and the third one selected is yellow
(4/32)*(3/31)*(3/30) = 3/2480 = 1.21*10^-3
(1) The value of x is 25
(2) The measure of ∠CBD is 60°
Explanation:
(1) The given two angles are vertical angles. Since, vertical angles are equal, we can add the two angles to determine the value of x.
Thus, we have,

Subtracting 5x from both sides, we have
Adding 10 to both sides , we have,

Thus, the value of x is 25.
(2) It is given that the measure of ∠ABC = (x+7)° and ∠CBD = (2x+14)°
Since, these two angles are supplementary angles and supplementary angles add upto 90°
Thus, we have,

Simplifying, we get,



Thus, substituting the value of x in ∠CBD = (2x+14)° to determine its value.

Thus, the measure of ∠CBD is 60°
Answer:(x-1) (x+3)
Step-by-step explanation:
Hope this helps!