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Irina18 [472]
2 years ago
10

Two less than three times a number is the same as six more than twice the number. Write an equation and solve to find the number

.
Mathematics
1 answer:
lapo4ka [179]2 years ago
8 0

Answer: 8

Step-by-step explanation:

Let the number be represented by x.

Two less than three times a number is the same as six more than twice the number. This will be:

(3 × x) - 2 = (2 × x) + 6

3x - 2 = 2x + 6

Collect like terms.

3x - 2x = 6 + 2

x = 8.

The number is 8

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Finger [1]

Given:

In triangle ABC, AB = AC, AD is angle bisector and measure of angle C is 49 degrees.

To find:

The value of x and y.

Solution:

In triangle ABC,

AB=AC                    (Given)

So, triangle ABC is an isosceles triangle and by the definition of base angles the base angles of isosceles triangle are congruent.

In isosceles triangle ABC,

\angle B\cong \angle C

m\angle B\cong m\angle C

m\angle B\cong 49^\circ

The angle bisector of an isosceles triangle is the median and altitude of the triangle. So, the angle bisector is perpendicular to the base.

m\angle ADB=90^\circ

x^\circ=90^\circ

In triangle ABD,

m\angle DAB+m\angle ABD+m\angle ADB=180^\circ         [Angle sum property]

y^\circ+49^\circ+x^\circ=180^\circ

y^\circ+49^\circ+90^\circ=180^\circ

y^\circ=180^\circ-49^\circ-90^\circ

y^\circ=41^\circ

Therefore, the correct option is B.

3 0
3 years ago
The fraction 64/72 is a
emmasim [6.3K]
Simplify: 64/72 = 8/9
Hope this helps, If it is pls Brainliest !!
5 0
2 years ago
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Write an equation for the polynomial graphed below
Anit [1.1K]

The expression for the polynomial graphed will be y(x) = (x + 3)(x - 1 )(x - 4 ).

<h3>How to factor the polynomial?</h3>

From the graph, the zeros of the polynomial of given graph are:

x = -3

x = 1

x = 4

Equate the above equations to zero

x + 3 = 0

x - 1 = 0

x - 4 = 0

Multiply the equations

(x + 3)(x - 1 )(x - 4 ) = 0

Express as a function gives;

y = (x + 3)(x - 1 )(x - 4 )

Hence, the factored form of the polynomial will be y = (x + 3)(x - 1 )(x - 4 ) .

Read more about polynomials at:

brainly.com/question/4142886

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6 0
1 year ago
A basket contains 19 apples. There are 9 yellow apples. There are 2 fewer red apples than yellow apples. There are 3 times as ma
kiruha [24]
3 green apples and 7 red apples
8 0
2 years ago
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A______ is a value, usually in the form of a letter or symbol, that can change or that represents an unknown quantity.
julia-pushkina [17]

Answer:

Variable

Step-by-step explanation:

8 0
3 years ago
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