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3 years ago

What is the value of X???

Mathematics

1 answer:

nexus9112 [7]3 years ago

3 0

Answer:

Step-by-step explanation:

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look at the figure shown below which step should be used to prove that point a is equidistant from points c and b

JulijaS [17]

D
is certainly wrong. You could extend the length of AD as far as you want and the two triangles (ABD and ACD) would still be congruent.

C
is wrong as well. The triangles might be similar, but they are more. They are congruent.

B
You don't have to prove that. It is given on the way the diagram is marked.

A
A is your answer. The two triangles are congruent by SAS

3 0

3 years ago

triangle STU is an equilateral triangle. If ST is one less than twice x, SU is 37 less than five times x, and TU is 11 more than

maks197457 [2]

Answer:

The value of x = 12 and the measure of each side is 23 units.

Step-by-step explanation:

Given: STU is an equilateral triangle.

ST = 2x -1

SU = 5x - 37

TU = x + 11

Now, as Δ STU is an equilateral triangle, hence all the sides of the triangle are equal.

⇒ ST = SU = TU

or, 2x -1 = 5x - 37 = x + 11

Considering : 2x -1 = 5x - 37 , we get

-1 + 37 = 5x - 2x

or 3x = 36

or, x = 12

Considering : 5x - 37 = x + 11 , we get

5x -x = 11 + 37

or, 4x = 48 or, x = 12

Considering : x + 11 = 2x -1

or, 2x - 1 = x + 11

or, x = 12

hence, in all the cases value of x = 12

ST = 2x -1 = 2(12) -1 = 23 units

SU = 5x - 37= 5(12) -1 = 23 units

TU = x + 11 = 12 = 11 = 23 units

7 0

3 years ago

A box contains 95 pink rubber bands and 90 brown rubber bands. You select a rubber band at random from the box. Find each probab

Hatshy [7]

You have a 1/95 chance of pulling a pink rubber band. You have a 1/90 chance of pulling a brown rubber band

4 0

3 years ago

Solve the inequality. c + 5 ≥ 10

anzhelika [568]

Answer:

c≥5

Step-by-step explanation:

hope that helps :)

6 0

4 years ago

The solution set, all real numbers greater than or equal to one, proves which of the following inequality statements to be true?

Juliette [100K]

Answer:

-5x ≤ 6x - 11

Step-by-step explanation:

Solving inequalities involves the same steps as equations with the exception that when multiplying or dividing by a negative coefficient of the variable, the inequality sign will flip. The solution to one of the inequalities given must be x ≥ 1. Given this answer, you can solve each to find the matching inequality:

-5x ≥ 6x - 11 or -11x ≥ -11 or x ≤ 1 (flip the sign due to negative coefficient)

-5x ≤ 6x - 11 or -11x ≤ -11 or x ≥ 1 (flip the sign)

5x ≤ 6x + 11 or -x ≤ 11 or x ≥ -1

-5x ≤ 6x + 11 or -11x ≤ 11 or x ≥ -1

8 0

3 years ago