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Temka [501]
3 years ago
15

A system of equations is shown below.

Mathematics
1 answer:
Nimfa-mama [501]3 years ago
5 0
-3x + 7y = -16 . . . (1)
-9x + 5y = 16 . . . .(2)

(1) x 3 => -9x + 21y = -48 . . . (3)
(2) - (3) => -16y = 64 . . . (4)

Required equivalent system of equations is
-9x + 5y = 16
-16y = 64
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Can someone please explain<br> AAS<br> SAS<br> SSS<br> ASA <br> CPCTC
Lostsunrise [7]

The Angle Angle Side postulate (often abbreviated as AAS) states that if two angles and the non-included side one triangle are congruent to two angles and the non-included side of another triangle, then these two triangles are congruent.

The Side Angle Side postulate (often abbreviated as SAS) states that if two sides and the included angle of one triangle are congruent to two sides and the included angle of another triangle, then these two triangles are congruent.

SSS stands for "side, side, side" and means that we have two triangles with all three sides equal. For example: is congruent to: (See Solving SSS Triangles to find out more) If three sides of one triangle are equal to three sides of another triangle, the triangles are congruent.

ASA stands for "angle, side, angle" and means that we have two triangles where we know two angles and the included side are equal. If two angles and the included side of one triangle are equal to the corresponding angles and side of another triangle, the triangles are congruent.

CPCTC is an acronym for corresponding parts of congruent triangles are congruent. CPCTC is commonly used at or near the end of a proof which asks the student to show that two angles or two sides are congruent. ... Corresponding means they're in the same position in the 2 triangles.

6 0
3 years ago
Consumption of fast food is a topic of interest to researchers in the field of nutrition. An article reported that 1880 of those
frez [133]

Answer:

the proportion is 0.2779, that is a 27.79%

Step-by-step explanation:

The article reported that 1880 children ate fast food from a sample of 6765 children. We can use the rule of three to find the proportion of children that ate fast food

  • from 6765 we have 1880 children that ate fast food
  • from 100 children we have 1880 * (\frac{100}{6765}) = 27.79 children that ate fast food

that gives us that a 27.79% of the children ate fast food on a typical day. We can obtain the proportion by dividing the percentage by 100, that gives us a proportion of 27.79/100 = 0.2779.

I hope this helped you!

3 0
3 years ago
Find the difference 2/3 and -3/4
astra-53 [7]
The answer would be -1/12 .
2/3 - -3/4=-1/12
2/3=8/12
-3/4=-9/12
8/12- -9/12=-1/12
5 0
4 years ago
Read 2 more answers
The harbormaster decides how many trips the ferry needs to make for 37 cars. The ferry can carry 8 cars at a time. What is the b
katen-ka-za [31]

Answer:

By adding 1 to the quotient.

Step-by-step explanation:

The Harbormaster needs to arrange tripe for 37 cars

in one go ferry can carry a maximum of 8 cars

trips = 37/8 = 4.625 trips

Since the ferry can't go in decimals so we need one more trip to carry all the cars. Hence the best way to interpret the remainder of 37/8 is by adding 1 to the quotient which will make 5 trips.

5 0
3 years ago
A bone fragment was found from an elk which had died 90 years before. What percent of Pb-210 remains? The half-life if Pb-210 is
Bess [88]

Answer:

  about 5.9%

Step-by-step explanation:

We assume that the original amount of Pb-210 present at death decays at the given rate. The fraction (f) remaining is multiplied by 1/2 every 22 years, so can be modeled by ...

  f = (1/2)^(t/22) . . . . . where t is in years after death

Then, for t=90, the remaining fraction is ...

  f = (1/2)^(90/22) ≈ 0.05868 ≈ 5.9%

7 0
3 years ago
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