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Softa [21]
3 years ago
5

What is the value of x, given that PQ || BC?

Mathematics
2 answers:
Alik [6]3 years ago
5 0
Hi, thank you for posting your question.

This problem can be solved through ratio and proportion which can be applied to similar triangles like that shown in the figure. By ratio and proprotion,

AQ/AC = AP/AB
x/(40+x) = 7/(35+7)

Thus, x = 8
Vitek1552 [10]3 years ago
3 0

Answer:

Option A x=8\ units

Step-by-step explanation:

we know that

The triangles ABC and APQ are similar

then

The ratio of their corresponding sides is equal

\frac{AP}{AB}=\frac{AQ}{AC}

we have

AP=7\ units

AB=35+7=42\ units

AQ=x\ units

AC=(40+x)\ units

substitute

\frac{7}{42}=\frac{x}{(40+x)}\\ \\\frac{1}{6}=\frac{x}{(40+x)}\\ \\ 40+x=6x\\ \\6x-x=40\\ \\5x=40\\ \\x=8\ units

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The nth term of an AP is given by 2n +9 find the first term​
den301095 [7]
The first term of an AP can be defined as T1 i.e. n=1. According to the given equation,. T1=a=2(1)+9=11.
6 0
4 years ago
The volume of a cube can be found using the equation V = s³, where V is the volume and s is the measure of one side of the cube.
AlladinOne [14]
V = s³. Therefore, s = ³√ V

Hope that helps you
7 0
3 years ago
A car care company sells 45-in. Upholstery fabric for car restoration. Art bought 9 7/12 yd and 11 13/16 yd for two car projects
kvv77 [185]

Answer:

21\frac{19}{48}\ yards

Step-by-step explanation:

Art bought 9\frac{7}{12} and 11\frac{13}{16} yards of fabric.

Total fabric bought: 9\frac{7}{12} + 11\frac{13}{16}

To add both fractions, we convert them into improper fractions (multiply denominator with whole number, then add the numerator) and then we find the LCM of the two denominators: 12 and 16

LCM of 12 and 16 = 48

\frac{115}{12} + \frac{189}{16}\\\\\frac{460}{48} + \frac{567}{48}\\\\\frac{460 + 567}{48}\\\\\frac{1027}{48}

We reduce this fraction to mixed fraction (or reduce if possible), since 1027 and 48 have no common factors.

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6 0
3 years ago
A sequence {an} is defined recursively, with a1 = 1, a2 = 2 and, for n > 2, an =
Licemer1 [7]
I think you mean a_n= \frac{a_{n-1}}{a_{n-2}}
basically that measn yo divide that term by the previous term
ok

a3=a1/a2=1/2
a4=a3/a2=(1/2)/2=1/4
a5=a4/a3=(1/4)/(1/2)=1/2
a6=a5/a4=(1/2)/(1/4)=2
a7=a6/a5=2/(1/2)=4
a8=a7/a6=4/2=2
a9=a8/a7=2/4=1/2
a10=a9/a8=(1/2)/2=1/4
ok, so notice a pattern
a3=a9
a4=a10
I therefor conclude that a_n=a_{n+6w} where w is a whole number
and n>2ok, so
241=6*39+7
so therefor
a_{241}=a_{7+6(39)}
therefor the 241th term is same as a7 or 4

I say a241 is 4
7 0
4 years ago
Read 2 more answers
Guess the number im thinking for brainliest 1-15
steposvetlana [31]

Answer:7

Step-by-step explanation:

4 0
3 years ago
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