Find the value of the variable that results in congruent triangles

Mathematics

1 answer:

sdas [7]2 years ago

8 0

Answer:

y = 5

Step-by-step explanation:

The triangles will be congruent when corresponding sides are congruent. __

We already have ...

KL ≅ NP . . . = 15 mm

JL ≅ MP . . . = 22 mm

So, we need ...

JK ≅ MN

4y +12 = 32 . . . . substitute given values

This will be the case when ...

4y = 20 . . . . . subtract 12

y = 5 . . . . . . . divide by 4

The value of y that makes the triangles congruent is 5.

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Susan is 5 years older than her sister. The sum of their ages are 51. Define a variable. Then write an equation that could be us

Kay [80]

You would do
51-5= 46
then you would divide
46/2= 23
so Susan is
23+5=28
Susan is 28 years old and her sister is 23
28+23=51

5 0

3 years ago

Read 2 more answers

Find the 7th term of the geometric sequence whose common ratio is 1/3 and whose first term is 5.

wolverine [178]

Answer:

$t_7 =\frac{5}{729}$

Step-by-step explanation:

We are given that:

First term (a) = 5

common ratio (r) = $\frac{1}{3}$

The nth term of a geometric sequence is given as:

$t_n =ar^{n-1} \\\therefore t_7 =5\times \bigg(\frac{1}{3}\bigg) ^{7-1} \\\therefore t_7 =5\times \bigg(\frac{1}{3}\bigg) ^{6} \\\therefore t_7 =5\times \bigg(\frac{1}{3}\bigg) ^{6} \\\therefore t_7 =5\times \frac{1}{729}\\\\\huge\red{\boxed{\therefore t_7 =\frac{5}{729} }}$