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3 years ago

Two sides of a triangle are 7 and 11 the length of the third side x is expressed

Mathematics

1 answer:

slava [35]3 years ago

8 0

Answer:

The sum of the lengths of any two sides of a triangle must be greater than the length of the third side. ... No; The sum of the lengths of any two sides of a triangle must be greater than the length of the third side. ANSWER: No; 9.

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Solve x – 7 > –8.

IgorC [24]

Question 1.

x - 7 > - 8

Adding 7 to both sides, we get:

x - 7 + 7 > - 8 + 7

x > -1

Thus the answer to the inequality is option Fourth.

Question 2.

A number exceeds 66. Let that number be x. The number exceeds 66 means that the number is larger than 66. So in form of an expression we can write the inequality as:

x is greater than 66

x > 66

So, option 1st gives the correct answer.

Question 3.

The tiles are square shaped and area of a square can be calculated as the square of its Length.

Area of square = (Length)²

If we are given the Area, we can find the length as:

Length = $\sqrt{Area}$

For Tile A, the length will be:

$Length= \sqrt{9}=3$
So length is a Rational number

For Tile B, the length will be:

$Length= \sqrt{25}=5$
So length is a Rational number

For Tile C, the length will be:

$Length= \sqrt{34}$
So, Length is not Rational.

For Tile D, the length will be:

$Length= \sqrt{76}$
Length is not Rational

Thus, the lengths of Tile A and Tile B are rational only.

Therefore, the correct answer is 1st option

8 0

3 years ago

I need help ASAP. Thank you :)

kvasek [131]

m∠FDE = 52°

Solution:

Given data:

DE ≅ DF, CD || BE, BC || FD and m∠ABF = 116°

Sum of the adjacent angles in a straight line = 180°

m∠ABF + m∠CBF = 180°

116° + m∠CBF = 180°

m∠CBF = 64°

If CD || BE, then CD || BF.

Hence CD || BE and BE || FD.

Therefore BFCD is a parallelogam.

In parallelogram, Adjacent angles form a linear pair.

m∠CBF + m∠BFD = 180°

64° + m∠BFD = 180°

m∠BFD = 116°

Sum of the adjacent angles in a straight line = 180°

m∠BFD + m∠DFE = 180°

116° + m∠DFE = 180°

m∠DFE = 64°

we know that DE ≅ DF.

In triangle, angles opposite to equal sides are equal.

m∠DFE = m∠DEF

m∠DEF = 64°

sum of all the angles of a triangle = 180°

m∠DFE + m∠DEF + m∠FDE = 180°

64° + 64° + m∠FDE = 180°

m∠FDE = 52°

8 0

3 years ago

Helpppp ! expand and simplify (x+y) (x+y)

DaniilM [7]

Answer:

Step-by-step explanation:

(x+y) (x+y)

=x^2+xy+yx+y^2

=x^2+2xy+y^2

Hope it helps

pls mark as Brainliest

4 0

3 years ago

Read 2 more answers

The given value below figure find the value of x

tino4ka555 [31]

Answer:

Step-by-step explanation:

We know:

The sum of the quadrilateral angles measures 360°.

Therefore we have the equation:

$30^o+39^o+48^o+m\angle D=360^o\qquad(1)$

The sum of angles x and D is equal to 360°. Therefore we have the other equation:

$x+m\angle D=360^o\qquad(2)$

From (1) and (2) we have:

$x+m\angle D=30^o+39^o+48^o+m\angle D\qquad\text{subtract}\ m\angle D\ \text{from both sides}\\\\x=30^o+39^o+48^o\\\\x=117^o$

6 0

3 years ago

When constructing an inscribed circle, which point is the center of the circle?

lesantik [10]

Answer:

D. The intersection of the angle bisectors.

Step-by-step explanation:

The incenter is equidistant from each of the sides of the triangle. An angle bisector is the set of points equidistant from the sides, so the incenter is the place where the angle bisectors meet.

6 0

3 years ago