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Aleonysh [2.5K]
3 years ago
11

ΔABC is dilated from the origin at a scale factor of 3 to create ΔA′B′C′. Select the option that completes the statement: The tr

iangles' corresponding angles are ________, and their corresponding sides are ________; therefore, the triangles are ________.
Mathematics
2 answers:
Angelina_Jolie [31]3 years ago
6 0

Answer:

The triangle's corresponding angles are congruent and their corresponding sides are proportional therefore, the triangles are similar

Step-by-step explanation:

we know that

If two figures are similar, then their corresponding angles are congruent and their corresponding sides are proportional. The ratio of its corresponding sides is called the scale factor

An dilatation is a transformation that does not modify the internal angles of the figure or the proportion of its measurements.

In this problem ΔABC and ΔA′B′C′ are similar

therefore

The triangle's corresponding angles are congruent and their corresponding sides are proportional therefore, the triangles are similar

ycow [4]3 years ago
6 0

Answer:

The triangle's corresponding angles are congruent and their corresponding sides are proportional therefore, the triangles are similar

Step-by-step explanation:

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-2.2.8.4<br> Find the distance between the two numbers on a number line
GREYUIT [131]

Answer:

10.6

Step-by-step explanation:

-2.2 is 2.2 units away from zero and 8.4 is 8.4 away from zero on a number line. add 2.2 and 8.4

5 0
3 years ago
Evaluate the following
IRINA_888 [86]

(a) [\frac{9}{2.6}  - \frac{2.5^{2} }{2.5} ]^{2}

Answer:

[\frac{9}{2.6}  - \frac{2.5^{2} }{2.5} ]^{2}

= [\frac{9}{2.6}  - \frac{2.5*2.5 }{2.5} ]^{2}

= [\frac{9}{2.6}  - \frac{2.5}{1} ]^{2}

*canceling 2.5 in numerator and denominator*

= [\frac{9-(2.5)(2.6)}{2.6} ]^2\\*Using L.C.M of 2.6 and 1 which comes out to be '2.6'= [\frac{9-(6.5)}{2.6} ]^2\\= [\frac{2.5}{2.6} ]^2\\*multiplying and dividing by '10'= [\frac{2.5*10}{2.6*10} ]^2\\= [\frac{25}{26} ]^2\\= \frac{25^2}{26^2}\\= \frac{625}{676}\\= 0.925

Properties used:

Cancellation property of fractions

Least Common Multiplier(LCM)

The least or smallest common multiple of any two or more given natural numbers are termed as LCM. For example, LCM of 10, 15, and 20 is 60.

(b) [[\frac{3x^{a}y^{b}} {-3x^{a} y^{b} } ]^{3}    ] ^{2}

Answer:

[[\frac{3x^{a}y^{b}} {-3x^{a} y^{b} } ]^{3}] ^{2}\\

*using [x^{a}]^b = x^{ab}*

= [\frac{3x^{3a}y^{3b}} {-3x^{3a} y^{3b} }] ^{2}        

*Again, using [x^{a}]^b = x^{ab}*

= \frac{3x^{2*3a}y^{2*3b}} {-3x^{2*3a} y^{2*3b} }  \\= (-1)\frac{3x^{6a}y^{6b}} {3x^{6a} y^{6b} }\\[\tex]*taking -1 common, denominator and numerator are equal*[tex]= -(1)\frac{1}{1}\\= -1

Property used: 'Power of a power'

We can raise a power to a power

(x^2)4=(x⋅x)⋅(x⋅x)⋅(x⋅x)⋅(x⋅x)=x^8

This is called the power of a power property and says that to find a power of a power you just have to multiply the exponents.

3 0
3 years ago
Somebody help plz how can i solve the following equations of 6v+3=21​
IrinaK [193]
21-3= 18 and 18 divided by 6 equals 3 so v=3
6 0
3 years ago
29. The table below represents the relationship of the price of carrots to their weight in ounces in a market: Price Weight, in
Alinara [238K]

The proportional relationship that represents the market that sells their carrots at a lower rate per pound is: y = 1.6x.

<h3>What is a proportional relationship?</h3>

A proportional relationship is a function in which the output variable is given by the input variable multiplied by a constant of proportionality, that is:

y = kx

In which k is the constant of proportionality.

From the table, the rate is:

k = $8.8/4.4 = 2.

From the market, the rate is:

k = $4.8/3 = $1.6.

Hence the equation is y = 1.6x.

More can be learned about proportional relationships at brainly.com/question/10424180

#SPJ1

3 0
2 years ago
Choose the conditional statement that is equivalent to this sentence : "Tigers have stripes."
TiliK225 [7]

i think the answer is c, hope this helps ;)

3 0
3 years ago
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