Answer:
AngleASZ Is-congruent-to AngleZSB
Step-by-step explanation:
The incenter of a triangle is a point inside a triangle that is equidistant from all the sides of a triangle. The incenter is the point formed by the intersection of all the three angles of the triangle bisected. The lines drawn from the incenter to the sides of the triangle forming right angles to the sides are congruent.
If Point Z is equidistant from the sides of ΔRST, point Z is the incenter of triangle RST. Lines are drawn from point Z to the sides of the triangle to form right angles and line segments Z A, Z B, and Z C. This lines are therefore congruent to each other, i.e. ZA = ZB = ZC.. Since the angles of the sides of the triangles are bisected to form the incenter, therefore:
AngleASZ Is-congruent-to AngleZSB
Answer: Bradley would expect 94 times to get a blue or green gumball.
Step-by-step explanation:
Since we have given that
Number of blue gumballs = 15
Number of yellow gumballs = 12
Number of green gumballs = 2
Number of purple gumballs = 16
Total number of all gumballs = 45
Probability of getting either a blue gumball or green gumball be
So, Expectation of getting a blue gumball or green gumball if a gumball was taken out 250 times :
Since we know that it must be less than 94.4.
So, the nearest smallest integer will be 94 times .
Hence, Bradley would expect 94 times to get a blue or green gumball.
Addition of fractions with unlike denominators: 3/10 + 1/6 = 7/15
Subtraction of fractions with unlike denominators: 7/8 - 5/6 = 1/24
<u>Step-by-step explanation</u>:
"Unlike denominator" is said to have different numbers in the denominator.
- Change the unlike denominators to like denominators by finding the least common multiple (LCM) of the denominators.
- Now multiply the numerator and denominator with same number that gives the LCM in the denominator.
- Add or subtract the numerators according to the operator given, but do not perform any operation in the denominators.
<u>Addition of fractions with unlike denominators</u>:
⇒ Add 3/10 and 1/6.
⇒ Taking LCM 2 |<u>10 6</u>
<u>|5 3 </u>
⇒ The LCM is 253 = 30.
⇒ 3/10 + 1/6 = (33)/(103) + (15)/(65)
= 9/30 + 5/30
= 14/30 = 7/15
<u>Subtraction of fractions with unlike denominators</u>:
⇒ Subtract 7/8 and 5/6.
⇒ Taking LCM 2 <u>|8 6</u>
<u>|4 3 </u>
⇒ The LCM is 243 = 24.
⇒ 7/8 - 5/6 = (73)/(83) + (54)/(64)
= 21/24 - 20/24
= 1/24
Answer:
-2 ~ brainliest please?
Step-by-step explanation:
-32x=64
32x=-64
x=-2
1) "a" and 60° are vertical angles, hence equal. a = 60°
2) "b" is the supplement to 60°, so is 180° - 60° = 120°. b = 120°
3) "d" is the supplement to 65°, so is 180° - 65° = 115°. d = 115°
4) "e" and 65° are vertical angles, hence equal. e = 65°
5) "g" is the supplement to 55°, so is 180° - 55° = 125°. g = 125°
6) "h" and 55° are vertical angles, hence equal. h = 55°