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3 years ago

14

pepper jackie has 5.8 kg of rainbow sprinkles. if she divides them equally into 8 star containers, how much will be in each star

?

1 answer:

bezimeni [28]3 years ago

8 0

Answer:

0.725 kg

Step-by-step explanation:

There is 5.8kg of sprinkles in total, and you want to split it into 8, so you do 5.8kg / 8, which is 0.725 kg of sprinkles in each star.

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.0190500 in scientific notation

arsen [322]

The answer is

1.905×10^-2

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2 years ago

In parallelogram ABCD below, line AC is a diagonal, the measure of angle ABC is 40 degrees, and the measure of angle ACD is 57 d

Lorico [155]

Answer:

The measure of angle CAD is 83 degrees.

Step-by-step explanation:

Given information: ABCD is a parallelogram, AC is a diagonal, $\angle ABC=40^{\circ}$ and $\angle ACD=57^{\circ}$ .

The opposite sides of parallelogram are congruent.

The diagonal AC divides the parallelogram in two congruent triangles.

In triangle ABC and ADC,

$AB\cong CD$ (Opposite sides of parallelogram)

$\angle ABC\cong \angle ADC$ (Opposite angles of parallelogram)

$BC\cong DA$ (Opposite sides of parallelogram)

By SAS postulate,

$\triangle ABC\cong \triangle CDA$

Since we know that opposite angles of parallelogram are equal, therefore

$\angle ABC\cong \angle ADC$

$\angle ADC=40^{\circ}$

According to the angle sum property the sum of interior angles of a triangle is 180 degrees.

$\angle CAD+\angle ACD+\angle ADC=180^{\circ}$

$\angle CAD+57^{\circ}+40^{\circ}=180^{\circ}$

$\angle CAD=83^{\circ}$

Therefore the measure of angle CAD is 83 degrees.

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