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3 years ago

If triangle ABC is congruent to XYZ, which statement is always true

Mathematics

1 answer:

Gre4nikov [31]3 years ago

3 0

Answer:

Step-by-step explanation:

BC and YZ are the two angles at the end of both equations, and will always line up in the triangle.

(hope this helps!)

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A rectangular prism is completely packed with 63 cubes of edge length fraction 1/3 inch, without any gap or overlap. Which of th

vlada-n [284]

The volume of the prism is a function of the cubes in it.

The volume of the prism is: (b) 2 unit cubes and 9 smaller cubes of volume fraction 1 over 27 cubic inch each

From the question, we have:

$n = 63$ --- number of cubes

$l = \frac 13$ --- the edge length of each cube

So, the volume of a cube is:

$v = l^3$

This gives

$v = \frac 13^3$

$v = \frac 1{27}$

The volume of the prism is then calculated as:

$V = n \times v$

This gives

$V = 63 \times \frac 1{27}$

$V = \frac {63}{27}$

Rewrite as:

$V = \frac {54 + 9}{27}$

Split

$V = \frac {54}{27} + \frac{9}{27}$

$V = 2 + \frac{9}{27}$

Rewrite as:

$V = 2 + 9 \times \frac{1}{27}$

The above equation means that, the volume of the prism is:

(b) 2 unit cubes and 9 smaller cubes of volume fraction 1 over 27 cubic inch each

Read more about volumes at:

brainly.com/question/13338592

6 0

3 years ago

Triangle ABC is a scaled copy of triangle DEF. Side AB measures 12 cm and is the longest side of ABC. Side DE measures 8 cm and

olga55 [171]

Answer: scale factor = 1.5

Step-by-step explanation:

$\text{Scale factor}=\dfrac{\text{Side length of image}}{\text{Side length of original figure}}$

Given: Triangle ABC is a scaled copy of triangle DEF.

Side AB = 12 cm and is the longest side of ABC.

Side DE = 8 cm and is the longest side of DEF.

$\text{For similar triangles, Corresponding sides are proportional.}$

AB is corresponds DE (longest side of both triangles)

So, $\text{Scale factor}=\dfrac{\text{AB}}{\text{DE}}=\dfrac{12}{8}=1.5$

Hence, the scale factor = 1.5.

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4 years ago

Mark knows the expression 24 + 4x can be rewritten as 4(6 + 4) x he claims that four is the only whole number greater than one t

Katena32 [7]

Answer:

4(6 + x)

Step-by-step explanation:

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3 years ago

Work out the size of angle x

mestny [16]

Answer:

97 degrees

Step-by-step explanation:

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3 years ago

Write this inequality in standard form, x^2+3x-4>0

mart [117]

Inequality Form:

x < -4 or x > 1

Interval Notation:

(− ∞ , − 4 ) ∪ ( 1 ,∞ )

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3 years ago