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3 years ago

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A student scored 84 and 87 on their first two quizzes. Write and solve a compound inequality to find the possible values for a t

hird quiz score that would give them an average between 85 and 90, inclusive.
A) 80≤n≤98

B) 99≤n≤84

C) 84≤n≤99

D) -0.5≤n≤4.5

1 answer:

BARSIC [14]3 years ago

8 0

Answer:

The score in third quiz must be lie between 84 to 99 inclusive.

Step-by-step explanation:

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Geometry Proof - Thanks in advance for the help!

RideAnS [48]

Answer:

Using reflexive property (for side), and the transversals of the parallel lines, we can prove the two triangles are congruent.

Step-by-step explanation:

Since AB and DC are parallel and AC is intersecting in the middle, you can make out two pairs of alternate interior angles<em>.</em> These angle pairs are congruent because of the alternate interior angles theorem. The two pairs of congruent angles are: ∠DAC ≅ ∠BCA, and ∠BAC ≅ ∠DCA.
With the reflexive property, we know side AC ≅ AC.
Using Angle-Side-Angle theorem, we can prove ΔABC ≅ ΔCDA.

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3 years ago

A triangle has an angle that measures 10°. The other two angles are in a ratio of 3:14. What

ivann1987 [24]

Step-by-step explanation:

<h3>Need to FinD :</h3>

We have to find the measures of other two angles of triangle.

$\red{\frak{Given}} \begin{cases} & \sf{The\ measure\ of\ one\ angle\ of\ traingle\ is\ {\pmb{\sf{10^{\circ}}}}.} \\ & \sf{The\ other\ two\ angles\ are\ in\ the\ ratio\ of\ {\pmb{\sf{3\ :\ 14}}}.} \end{cases}$

We know that,

The other two angles of triangle are in the ratio of 3 : 14. So, let us consider the other two angles of the triangle be 3x and 14x.

Angle sum property,

The angle sum property of triangle states that the sum of interior angles of triangle is 180°. By using this property, we'll find the other two angles of the triangle.

$\rule{200}{3}$

$\sf \dashrightarrow {10^{\circ}\ +\ 3x\ +\ 14x\ =\ 180^{\circ}} \\ \\ \\ \sf \dashrightarrow {10^{\circ}\ +\ 17x\ =\ 180^{\circ}} \\ \\ \\ \sf \dashrightarrow {17x\ =\ 180^{\circ}\ -\ 10^{\circ}} \\ \\ \\ \sf \dashrightarrow {17x\ =\ 170^{\circ}} \\ \\ \\ \sf \dashrightarrow {x\ =\ \dfrac{\cancel{170^{\circ}}}{\cancel{17}}} \\ \\ \\ \dashrightarrow {\underbrace{\boxed{\pink{\frak{x\ =\ 10^{\circ}.}}}}_{\sf \blue {\tiny{Value\ of\ x}}}}$

∴ Hence, the value of x is 10°. Now, let us find out the other two angles of the triangle.

$\rule{200}{3}$

Second AnglE :

3x
3 × 10
30°

∴ Hence, the measure of the second angle of triangle is 30°. Now, let us find out the third angle of triangle.

$\rule{200}{3}$

Third AnglE :

14x
14 × 10
140°

∴ Hence, the measure of the third angle of the triangle is 140°.

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2 years ago

How much fence is needed to surround a garden with side lengths of 2.1 meters, 3.5 meters, 1.9 meters, and 2.25 meters?

ikadub [295]

Answer: 9.75m

Step-by-step explanation:

3.5 + 2.1 + 1.9 + 2.25 = 5.75 + 4 = 9.75 m

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2 years ago

Jan has a piece of yarn that is 6 1/2 feet long. She cuts off a piece that is 2 5/12 feet long. How much yarn does she have left

icang [17]

The answer is b because all you have to do is just subtract if I am wrong so sorry

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2 years ago

Eighty-five more than the square of a number is the same as the square of the quantity that is 17 less than the number. What is

mario62 [17]

We can turn this word problem into the following equation:
x^2 + 85 = (x - 17)^2
x^2 + 85 = x^2 - 34x + 289
-85 -85
_______________________
x^2 = x^2 - 34x + 204
+34x +34x
_______________________
x^2 + 34x = x^2 + 204
-x^2 -x^2
____________________
34x = 204
Divide 34 on both sides
x = 6.
The number is 6.

5 0

3 years ago