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2 years ago

What is the value of x Enter your answer as a decimal in the box?

Mathematics

2 answers:

Oksana_A [137]2 years ago

5 0

Answer: 12.5

Triangle Proportionality Theorem: If a line parallel to one side of a triangle intersects the other two sides, then it divides the two sides proportionally. The converse is also true.

For this one we use the Angle bisector theorem: In geometry, the angle bisector theorem is concerned with the relative lengths of the two segments that a triangle's side is divided into by a line that bisects the opposite angle. It equates their relative lengths to the relative lengths of the other two sides of the triangle.

Steps:

DC/BD = AC/AB

x/14 = 25/28

x = 25/28 * 14

x = 12.5

Now that you know how to do it, hope that you can do more sums like this in the future! And brainliest pwease if that's the answer your looking for!

<h2>૮꒰ ˶• ༝ •˶꒱ა</h2><h2>./づᡕᠵ᠊ᡃ࡚ࠢ࠘ ⸝່ࠡࠣ᠊߯᠆ࠣ࠘ᡁࠣ࠘᠊᠊°.~♡ Sara Senpie</h2>

nataly862011 [7]2 years ago

3 0

25 and. Half by 16 then do the 15

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Find the fifth term in the sequence

kvv77 [185]

Method 1:

The recursive formula states that every next term is three times the previous one, plus two.

So, we have:

$a_1 = 1$
$a_2 = 3\cdot 1 + 2 = 3+2 = 5$
$a_3 = 3\cdot 5 + 2 = 15+2 = 17$
$a_4 = 3\cdot 17 +2 = 51+2 = 53$
$a_5 = 3\cdot 53 +2 = 159+2 = 161$

Method 2:

You can write the expression for $a_5$ , and use the recursive formula until you get to the starting point:

$a_5 = 3a_4+2 = 3(3a_3+2)+2 = 9a_3+8 = 9(3a_2+2)+8 = 27a_2+26 = 27(3a_1+2)+26 = 81a_1+80$

Now use the fact that $a_1 = 1$ to get the conclusion

$a_5 = 81+80 = 161$

8 0

2 years ago

Choice D is 100 plz help soon as possible

telo118 [61]

Answer:

a:78.5 square inches

Step-by-step explanation:

a=3.14*5^2

=3.14*25

a=78.5 sq inches

7 0

2 years ago

How do you find the missing side??

guapka [62]

Answer:

$\boxed{\ell = 12}.$

Step-by-step explanation:

Let $\ell$ denote the length of the missing side. Since $\triangle ABC$ and $\triangle AXY$ share one vertex and $\overline{XY}\parallel \overline{BC}$ , these triangles are similar. This means that:

$\dfrac{AX}{AB} = \dfrac{AY}{AC} \iff \dfrac{\ell}{18+\ell} = \dfrac{14}{14+21} \iff\dfrac{\ell}{18+\ell} = \dfrac{14}{35}.$

We now multiply both sides by $18+\ell$ and solve the equation:

$\dfrac{\ell}{18+\ell} = \dfrac{14}{35} \iff \ell = \dfrac{36}{5} + \dfrac{14}{35}\ell \iff \ell \left(1-\dfrac{14}{35}\right) = \dfrac{36}{5} \iff \dfrac{3}{5}\ell = \dfrac{36}{5}.$