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2 years ago

Where does f(x) = g(x)

Mathematics

1 answer:

olya-2409 [2.1K]2 years ago

3 0

f(x) = g(x) at x = 2.

In order to find this, you look for where the two graphs intersect. In this case, they intersect at the point (2, 5). At this point, both f(x) and g(x) both equal 5. So to identify the point, we need to look at the x value of the ordered pair, which is x = 2.

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Match the following reasons with the statement givem

ANEK [815]

Answer:

AAS(Angle-Angle-Side) postulate states that if two angles and the non-included side one triangle are congruent to two angles and the non-included side of another triangle, then the two triangles are congruent

In triangle RAS and triangle QAT

$\angle R =\angle Q$ [Angle]

$AS =AT$ [Side] [Given]

By Base Angle Theorem states that in an isosceles triangle(i.e, AST), the angles opposite the congruent sides(AS =AT) are congruent.

⇒ $\angle 5= \angle 6$ [By base ∠'s of isosceles triangle are equal]

By definition of supplementary angles, if two Angles are Supplementary when they add up to 180 degrees.

$\angle 4$ , $\angle 5$ are supplementary and $\angle 6$ , $\angle 7$ are supplementary.

⇒ $\angle 4+ \angle 5 =180^{\circ}$ and

$\angle 6+ \angle 7 =180^{\circ}$

Two $\angle 's$ supplementary to equal $\angle 's$

$\angle 4+ \angle 5 =\angle 6+ \angle 7$

Since, $\angle 5 =\angle 6$

then, we get;

$\angle 4 =\angle 7$ [Angle]

then, by AAS postulates,

$\triangle RAS \cong \triangle QAT$

By CPCT[Corresponding Part of Congruent Triangles are equal]

$RS = QT$ Hence Proved!

7 0

2 years ago

A shirt costs $30 but is on sale for 25% off. How much does the shirt cost after the sale?

FrozenT [24]

Answer:

$22.50

Step-by-step explanation:

Find 25% of 30 and then take away that amount from 30.

6 0

2 years ago

Circle D is shown. Line segment F E goes through point D. Line segment C D is shown. Line segment G H goes from one side of the

Inessa05 [86]

Answer:

The answer is AB also i just took the test on edg and got it right

Step-by-step explanation:

A straight line or plane that touches a curve or curved surface at a point, but if extended does not cross it at that point is a tangent.

6 0

2 years ago

A function g(x) is defined as shown.

FromTheMoon [43]

Answer:

g(4) = 12

Step-by-step explanation:

We need to find the value the function g(x) when x = 4, that is;

g(4)

In the first definition of the function, the value of x is strictly less than 4. Consequently, we shall use the second definition of the function to evaluate g(4)

In the second definition, g(x) is given as;

Q(x) = 0.5x + 10

plug in x = 4 and simplify;

Q(4) = 0.5(4) + 10

Q(4) = 12

6 0

2 years ago

Jeff typed a 5-page term paper with 600 words per page. He typed an average of 40 words per minute. If he started typing at 8:15

Leno4ka [110]

Answer:

If Jeff is types 5 pages at 600 words per page, then he types 3,000 words (5 x 600).

So, if Jeff started typing at 8:15 am, he'd finish at 9:30 am.

Step-by-step explanation:

3 0

2 years ago

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