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Elena L [17]
3 years ago
10

Triangle ABC has a side measuring 7 inches, a side measuring 10 inches, and an angle measuring 38°. To construct another triangl

e that is DEFINITELY congruent to triangle ABC with only this information, which statement is correct about triangle ABC?
Mathematics
1 answer:
ki77a [65]3 years ago
5 0
The complete question gives the following options:
A) The 7-inch side and the 10-inch side must make a 52° angle.
B) The 7-inch side and the 10-inch side must make the 38° angle.
C) It does not matter whether or not the 7-inch side and the 10-inch side make a 52° angle.
<span> D) It does not matter whether or not the 7-inch side and the 10-inch side make the 38° angle. 

According to the SAS rule for triangle congruency, two triangles are congruent if they have congruent two sides and the angle included.

Therefore, the only way to build a triangle congruent to ABC is to say that the given angle is the one included between the two sides.
Therefore, the correct answer is: </span><span>B) The 7-inch side and the 10-inch side must make the 38° angle.  </span>
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Ms. Novas bought 3 pounds of jelly beans. She kept 8 ounces for her family and gave the rest to her friends. She gave each frien
Yuki888 [10]

Answer:

A = 40/n

Therefore, she gave each friend 40/n ounces of jelly beans.

Step-by-step explanation:

Given;

Total amount of jelly beans To = 3 pounds = 3×16 ounces = 48 ounces

Total amount kept for family Ta = 8 ounces

Total amount given to friends = Ti

Number of friends = n

Amount given to each friend = A

Ti = To - Ta

A = Ti/n = (To-Ta)/n

A = (48 - 8)/n

A = 40/n

Therefore she gave each friend 40/n ounces of jelly beans.

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3 years ago
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Vlada [557]

Answer:90% because 46% out of 50 is 90

Step-by-step explanation:

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4 0
3 years ago
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Each morning, Hungry Harry eats some eggs. On any given morning, the number of eggs he eats is equally likely to be 1, 2, 3, 4,
mamaluj [8]

Answer:

Mean = 35

Variance = 291.7

Step-by-step explanation:

Data provided in the question:

X : 1, 2, 3, 4, 5, 6

All the data are independent

Thus,

The mean for this case will be given as:

Mean, E[X] = \frac{\textup{Sum of all the observations}}{\textup{Total number of observations}}

or

 E[X] = \frac{\textup{1+2+3+4+5+6}}{\textup{6}}

or

E[X] = 3.5

For 10 days, Mean = 3.5 × 10 = 35

And,

variance = E[X²] - ( E[X] )²

Now, for this case of independent value,

E[X²] = \frac{1^2+2^2+3^2+4^2+5^2+6^2}{\textup{6}}

or

E[X²] = \frac{1+4+9+16+25+36}{\textup{6}}

or

E[X²] = \frac{91}{\textup{6}}

or

E[X²] = 15.167

Therefore,

variance = E[X²] - ( E[X] )²

or

variance = 15.167 - 3.5²

or

Variance = 2.917

For 10 days = Variance × Days²

= 2.917 × 10²

= 291.7

3 0
3 years ago
Please help me asap its the end of the year and i need to get this in
Mademuasel [1]

Answer:

it would be 200 units

Step-by-step explanation:

if the length is twice the width and the perimeter only being 60 units, you would have 20 as your length and 10 as your width (20+20+10+10=60). Then if you multiply 20 and 10 you get 200

4 0
3 years ago
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A rectangular floor of area 360 m2 is going to be tiled. Each tile is rectangular, and has an area of 240 cm2. An exact number o
vladimir1956 [14]

Answer:

1500

Step-by-step explanation:

The area of the regtangular floor is 360m². The floor is going to be retired with tiles having area of 240cm² . We need to find the number of times . Therefore ,

\implies 360m^2 = 360 \times 10^4 \ cm^2

And , the number of tiles required will be ,

\implies n =\dfrac{Area \ of \ floor}{Area \ of \ a \ tile }\\\\\implies n =\dfrac{ 360 \times 10^4 \ cm^2}{240 cm^2} \\\\\implies \underline{\underline{ n = 1,500 }}

Hence the required answer is 1500 .

7 0
2 years ago
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