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:
Step-by-step explanation:
Number of the bags = between 8 and 15 and
-
1/2 of bags contain money
- 1/6 of bags contain candy
- 1/3 of bags contain a toy
As per above the number is divisible by 2, 3 and 6. LCM of the three numbers is 6.
<u>
The number between 8 and 15 and divisible by 6:</u>
So the number of bags is 12
Answer:
The answer to your question is y = -2x + 11
Step-by-step explanation:
A (1, 9)
B (3, 5)
- Find the slope
m = - 2
- Find the line equation
y - y1 = m (x - x1)
y - 5 = -2(x - 3)
y - 5 = -2x + 6
y = -2x + 6 + 5
y = -2x + 11
Answer: No solution
Step-by-step explanation:
Perimeter= 2(length) + 2(width)
If they have the same perimeter than we can write their values as an equation like this:
2(10) + 2x = 2(6) + 2(x + 3)
20 + 2x = 12 + 2(x+3)
DISTRIBUTE THE 2 TO THE X AND THE 3
20 + 2x = 12 + 2x + 6
COMBINE LIKE TERMS
20 + 2x = 18 + 2x
SUBTRACT 2X FROM BOTH SIDES
20 = 18
<u>THE EQUATION HAS NO SOLUTION, AND YOU ARE CORRECT</u>
Answer:
i think it is b but not sure
Step-by-step explanation:
