You have two triangles, ADC and ABC.
Sides AD and AB are congruent.
Sides DC and BC are congruent.
Side AC is congruent to itself.
By SSS, triangles ADC and ABC are congruent.
Corresponding parts of congruent triangles are congruent.
That means that angles DAC and BAC are congruent.
Angles DCA and BCA are congruent.
Since m<DAC = 32, then m<BAC = 32
Since m<DCA = 41, then m<BCA = 41.
Now you know the measures of two angles of triangle ABC.
The measures of the interior angles of a triangle add to 180.
You can find the measure of angle B.
m<BAC + m<B + m<BCA = 180
32 + m<B + 41 = 180
m<B + 73 = 180
m<B = 107
Answer:
no real answer
Step-by-step explanation:
distribute the -4 and combine all of the like terms on the left side = r-8-4r, then -8-3r
then we have 7-3r=-8-3r
from here, we can already tell that there's no real answer. this is because the two -3r will cancel, leaving no variable.
since 7 doesn't equal -8, there is no answer.
if, for example, the value on both sides of the equal sign were the same after the variable was eliminated, then your answer would be all real numbers
2/3×4= 2 2/3
the answer is 2 cups container of food
Answer:
two hours and thirteen minutes.
Step-by-step explanation:
count up from 3pm to 5pm to start with. That gives you two hours
we already have 38 minutes, now just subtract the 25 minutes he spent resting.
That leaves you with 2 hours and 13 minutes.
Correct me if I'm wrong I'm currently responding to this at a major lack of sleep lol
Answer:
Step-by-step explanation:
-0.25x+1.75x<-1.75+2.5 x
sift terms containing x to right and constant term to left
1.75<2.5 x+0.25x-1.75 x
1.75<2.75x-1.75x
1.75<1.00 x
or 1.75 <x
or x>1.75
