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3 years ago

Does every acute triangle have 3 congruent sides?

1 answer:

4 0

No. Just because the angles are all less than 90 degrees, that doesn't tell us anything about the sides. The sides are all congruent ONLY if all 3 angles are 60 degrees each. If the angles all have different sizes, then so do the sides.

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To divide fractions, you multiply by the reciprocal of the second fraction.

kicyunya [14]

This is true.

Example:

= 8/9 ÷ 7/3
to divide fractions, multiply by the reciprocal/inverse of 7/3

= 8/9 * 3/7

= (8*3)/(9*7)
multiply numerators; multiply denominators

= 24/63
simplify

= 8/21

ANSWER: This is (A) true

Hope this helps! :)

3 0

3 years ago

At a candy store, 3 giant lollipops sell for $7.59 and 2 small packets of bubblegum cost $4.82. Which is a better buy?

galben [10]

2 small backs of bubble gum is your answer because it costs less!!

3 0

3 years ago

Medicare Hospital Insurance The average yearly Medicare Hospital Insurance benefit per person was $4064 in a recent year. Suppos

horrorfan [7]

Answer:

The answer is "0.0764"

Step-by-step explanation:

Please find the complete question in the attached file.

$\to \mu = \$ \ 4064\\\\\to \sigma = \$ \ 460 \\\\\to \sigma \bar{x} = \frac{\sigma}{\sqrt{n}}\\\\$

$= \frac{460}{\sqrt{21}}\\\\ = \frac{460}{4.58257569}\\\\=100.3802$

$\to P(\bar{x}< \$ \ 3920) = \frac{P((\bar{x} - \mu \bar{x})}{\frac{\sigma \bar{x}$

$\to P(z < -1.43) = 0.0764 \\\\\to P(\bar{x}< \$ \ 3920) = 0.0764\\\\$

7 0

3 years ago

Zoe makes a total of $72.85 selling cookies and cupcakes at a bake sale. If she sells 17 cupcakes for $3.25 each, how many cooki

Kisachek [45]

Answer:

Step-by-step explanation:

17(3.25)=55.25

72.85-55.25=17.60

17.60/1.60=11

7 0

2 years ago

The answer to this.

Readme [11.4K]

Answer:

The two column proof is presented as follows;

Step ${}$ Statement Reason

1 ${}$ $\overline {AC}$ ≅ $\overline {BD}$ Given

${}$ ∠CAB ≅ ∠DBA

2 ${}$ $\overline {AB}$ ≅ $\overline {AB}$ Reflexive property

3 ${}$ ΔABC ≅ ΔBAD SAS rule of congruency

Step-by-step explanation:

Given that we have;

Segment $\overline {AC}$ of ΔABC being congruent to (≅) segment $\overline {BD}$ on ΔBAD and angle ∠CAB on ΔABC is congruent to angle ∠DBA on ΔBAD, and also that the two triangles share a common side, which is segment $\overline {AB}$ , we have;

Segment $\overline {AB}$ is congruent to itself by reflexive property, therefore;

Two sides and an included angle on ΔABC are congruent to the corresponding two sides and an included angle on ΔBAD, which by Side-Angle-Side, SAS, rule of congruency, ΔABC is congruent to ΔBAD

7 0

3 years ago