A random supporter roots the home team with probability 0.9, and the away team with probability 0.1.
Choosing 6 out of 8 supporters who root for the home team has probability
Adjust point D so the measure of angle BAD is equal to the measure of angle CAD. Which statements are true? Check all that apply
. AD bisects ∠BAC. AD bisects BC. AD forms right angles with BC. AD is perpendicular to BC. AD is the perpendicular bisector of BC.
2 answers:
Answer with explanation:
it is given that ,in ΔABC,
∠BAD=20°, and ∠CAD=54°
We have to adjust point D,so that measure of angle BAD is equal to the measure of angle CAD.
that is, if point D is moved to right of B,then ∠BAD increases from 20° to (20+x)° and ∠CAD decreases from 54° to (54-x)°.
→20 +x=54-x
⇒ 2 x= 54 -20
⇒2 x=34
x=17°
Using angle bisector theorem, if AD bisects ∠B AC.
so,
If, ∠BAD=∠CAD=37°, then
1. AD bisects ∠B AC.→→→Option A
You might be interested in
Answer:
ratio of pure lemon juice to water in the homestyle lemon drink is 5 : 19.
Step-by-step explanation:
In order to solve the final ratio of lemon juice to water, let us start by determining the initial ratio of pure lemon juice to water in the first mix. This is done as follows:
Total volume of mixture = 60 liters
initial volume of water = 60 liters
initial volume of lemon juice = 0 liters
1) She removed 15 liters of the water and replaced it with 15 liters of pure lemon juice.
Volume of water = 60 - 15 = 45 liters
Volume of lemon juice = 15 liters
2) She removed 10 liters of the new mixture
Let us convert this amount removed into ratio:
New volumes of water and lemon juice after removing the 10 liters of mixture is calculated as follows:
3) and replaced it with 10 liters of water.
The final ratio of lemon juice to water:
Therefore, the final ratio of pure lemon juice to water in the homestyle lemon drink is 5 : 19.