Answer:
<u>Given:</u>
- DC ║ AB
- CM = MB as M is midpoint of BC
i) <u>Since DN and BC are transversals, we have:</u>
- ∠DCM ≅ ∠NBM and
- ∠CDM ≅ ∠BNM as alternate interior angles
<u>As two angles and one side is congruent, the triangles are also congruent:</u>
- ΔDCM ≅ ΔNBM (according to AAC postulate)
So their areas are same.
ii)
<u>The quadrilateral has area of:</u>
- A(ADCB) = A(ADMB) + A(DCM)
<u>And the triangle has area of:</u>
- A(ADN) = A(ADMB) + A(NBM)
Since the areas of triangles DCM and NBM are same, the quadrilateral ADCB has same area as triangle ADN.
Step-by-step explanation:
The sum of the interior angles of a triangle is equal to 180° so we can write
Solving for y, we get
So the other two angles of the triangle are
and
Answer:
2 inches
Step-by-step explanation:
(0.25*32)/4=2
Answer:
The percentage of the bags of the potato chips that are not cheddar-flavored is 25%. This is because there are 10 bags that are not cheddar-flavored and this divided by 40 bags, which is the total bags of the potato chips multiply by 100% gives 25%
Step-by-step explanation:
If there are 40 bags of potato chips and 30 are cheddar flavored, Then
40 - 30 = 10 bags are not cheddar flavored
Since the total bags is 40,
percentage potato chips that are not cheddar-flavored = 10/40 × 100%
= 25%
Answer:
20！
Step-by-step explanation:
