All internal angles in a quadrilateral add to 360
so
x+110+110+70=360
x+290=360
minus 290 both sides
x=70 degrees
A). ratios can be reduced to lowest terms my. that is the only one here that is ALWAYS true
Answer:
a. 4/52
b. 1/2
c. 1/4
d. 10/13
Step-by-step explanation:
In order to obtain the probabilities, you have to apply the formula:

Where P(A) is the probability of an event A, n(A) is the number of favorable outcomes for the event and n is the total number of possible outcomes.
<u>For part a:</u>
The total number of 4 cards is 4, because there are four suits and a card 4 for each suit
n(a)= 4
n=52 (The total number of cards)
P(a)=4/52
<u>For part b:</u>
There are two suits with black cards and 13 cards in each suit. Therefore, the number of black cards is: 13(2)=26
n(b)=26
n=52
P(b)=26/52=1/2
<u>For part c:</u>
The total number of cards with diamonds is 13
n(c)=13
n=52
P(c)=13/52=1/4
<u>For part d:</u>
There are 3 face cards in each suit, therefore the total number of face cards is (3)(4)=12. The rest of the cards are none-face cards, therefore:
n(d)= 52-12 = 40
n=52
P(d)=40/52=10/13
Answer:
Hey!
Your answer is YES!
AKA the Last Option on your screen!
Step-by-step explanation:
It is this because...
They both have the angles 105 in it...
And looking at the other angle on the smaller one (25)
50 + 25 = 75 ... 180 - 75 = 105
WE HAVE 105 as an angle on the larger triangle...which makes them SIMILAR but congruent Angles!
It cant be the "corresponding sides" as we do not have the notations (lines intersecting the sides) that let us know that the lines are the same.
Hope this helps!