ABCD is a parallelogram. Find the measure of

Step-by-step explanation:

In the parallelogram, there is line that divides the shape into two pieces. This line is known as a transversal. A transversal can help you understand things when it comes to the measurement of angles. When dealing with a transversal, alternate interior angles are congruent. For example, ∠BDC and ∠DBA are alternate interior angles. ∠ADB and ∠CBD are also interior angles. Since, we know this, we can conclude that...

m∠DBA = 12°

m∠CBD = 38°

These angles also make up one angle which is ∠ABC. So, we can add 38 and 12 to get the measurement of this angle.

38 + 12 = 50

So, the measure of ∠ABC is 50°

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7! = 7×6×5×4×3×2

3! = 3× 2

as 7! is multiple of 3! because 7! contains 3! that is 3× 2 as factor

so 7! /(3! ) = 7× 6× 5× 4

= 42 × 20

= 840

its b) 840✌✌✌

dhruv⭐

delaney would like to make a 5lb nut mixture that is 60% peanuts and 40% almonds.

she has several pounds of peanuts and several pounds of a mixture that is 20% peanuts and 80% almonds.

let 'p' represent the number of pounds of peanuts needed to make the new mixture, and  

let 'm' represent the number of pounds of the 80% almond-20% peanut mixture.

:

p + m = 5

therefore

m = (5-p)

write an equation based on the percent of peanuts

1p + .2m = .6(5)

replace m with (5-p)

p + .2(5-p) = .6(5)

p + 1 - .2p = 3

p - .2p = 3 - 1

.8p = 2

p = 2/.8

p = 2.5 lbs of peanuts required

then

5 - 2.5 = 2.5 lbs of the peanut/almond mixture required

:

a) what is the system that models this situation?

p + m = 5

1p + .2m = .6(5)