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pochemuha
3 years ago
15

A triangle with vertices at A(0,0),B(0,4),and C(6,0) is dilated to yield a triangle with vertices at A'(0,0),B'(0,10), and C'(15

,0). The origin is the center of dilation. What is the scale factor of the dilation.
Mathematics
2 answers:
KatRina [158]3 years ago
6 0

Answer: 2.5

Explaination:

After graphing both triangles, the height of the first triangle was 4. I multiplied it by 2.5 and got 10 (the height of the second triangle).

kakasveta [241]3 years ago
5 0
You can use 4/10 or 6/15
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Proof by Contradiction : Show that √ 2 is irrational.
myrzilka [38]

Answer:

\sqrt2 is irrational

Step-by-step explanation:

Let us assume that \sqrt2 is rational. Thus, it can be expressed in the form of fraction \frac{x}{y}, where x and y are co-prime to each other.

\sqrt2 = \frac{x}{y}

Squaring both sides,

2 = \frac{x^2}{y^2}

Now, it is clear that x is an even number. So, let us substitute x = 2u

Thus,

2 = \frac{(2u)^2}{y^2}\\y^2 = 2u^2

Thus, y^2is even, which follows the fact that y is also an even number. But this is a contradiction as x and y have a common factor that is 2 but we assumed that the fraction \frac{x}{y}  was in lowest form.

Hence, \sqrt2 is not a rational number. But \sqrt2 is a an irrational number.

5 0
3 years ago
How many solutions does the nonlinear system of equations graphed below
vovikov84 [41]

Answer:

<h2>          D.  Two</h2>

Step-by-step explanation:

Two common points of the graphs (two intersects) means two solutions.

6 0
3 years ago
Read 2 more answers
Care este cel mai mic număr dintre 95.999,96.959,99.595 și 99.995 la care cifra unităților de mii este 5
Triss [41]

Răspuns:

95.999

Explicație pas cu pas:

Care este cel mai mic număr între 95.999; 96.959; 99.595 și 99.995, unde numărul de mii este 5

95.999 = Nouăzeci și cinci de mii nouă sute nouăzeci și nouă

96.959 = Nouăzeci și șase de mii nouă sute cincizeci și nouă

99595 = Nouăzeci și nouă de mii cinci sute nouăzeci și cinci

99995 = Nouăzeci și nouă de mii, Nouă sute nouăzeci și cinci.

Folosind cunoștințele despre linia numerică:

95.999 <96.959 <99.595 <99.995

3 0
3 years ago
Which one of these is not congruent to angle 5?
Artemon [7]

Answer:

Step-by-step explanation:

The answer is 1 and 3

7 0
3 years ago
If m&lt; BCD = 54, find m&lt; BAC
dmitriy555 [2]

m∠BAC = 27°

Solution:

ABCD is a quadrilateral.

AB and CD are parallel lines.

Given m∠BCD = 54°

AC bisect ∠BCD.

m∠DCA + m∠CAB = m∠BCD

m∠DCA + m∠DCA = 54°   (since ∠ACB = ∠DCA)

2 m∠DCA  = 54°

Divide by 2 on both sides, we get

m∠DCA  = 27°

AB and CD are parallel lines and AC is the transversal.

<em>If two parallel lines cut by a transversal, then the alternate interior angles are equal.</em>

m∠BAC = m∠DCA

m∠BAC = 27°

Hence m∠BAC = 27°.

7 0
3 years ago
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