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inessss [21]
3 years ago
7

Which triangle’s unknown side length measures 7 units?

Mathematics
2 answers:
gregori [183]3 years ago
8 0

7^2 + 5^ 2 = 49 + 25 = 74

The answer is the last picture ( Purple triangle)

Savatey [412]3 years ago
6 0

For this case we observe that the triangle has an angle of 90 degrees.

We then have to use the Pythagorean theorem to solve the problem.

We have then for the purple triangle:

x ^ 2 + 5 ^ 2 = (\sqrt{74}) ^ 2

From here, we can clear the value of x.

We have then:

x ^ 2 + 25 = 74\\x ^ 2 = 74 - 25\\x ^ 2 = 49

x=\sqrt{49}\\x = 7

Answer:

The triangle whose unknown side is equal to 7 is the triangle number 4.

The purple triangle.

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What mistake did this student make?
Novay_Z [31]
X=-2 not 2.


EXPLANATION:

x-2y=12
-3x+y=-1
x-2y=12
2(-3x+y)=-1
x-2y=12
-6x+2y=-2
-5x=10
5x/-5=10/-5
x=-2
7 0
2 years ago
X^2-x-12 factor completely
steposvetlana [31]
Use the sum-product pattern

2
−

−
1
2
x
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12
x2−x−12

2
+
3

−
4

−
1
2
x
2
+
3
x
−
4
x
−
12
x2+3x−4x−12
2
Common factor from the two pairs

2
+
3

−
4

−
1
2
x
2
+
3
x
−
4
x
−
12
x2+3x−4x−12

(

+
3
)
−
4
(

+
3
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x
(
x
+
3
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−
4
(
x
+
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)
x(x+3)−4(x+3)
3
Rewrite in factored form

(

+
3
)
−
4(+3)x
(x+3)−4(x+3)
x(x+3)−4(x+3)
(−4)(+3)
(x−4)(x+3)
(x−4)(x+3)
5 0
2 years ago
7(x+2)+3(x+5)=14(x+1)+2
shtirl [24]

7x + 14 + 3x + 15 = 14x + 14 + 2 10x + 14 = 14x + 16 14 - 16 = 14x - 10x -2 = 4x X = - 2/4 X = - 1/2 OR X = - 0.5

8 0
2 years ago
Read 2 more answers
SOMEONE PLS HELP ME WITH ASAP
Levart [38]

Answer:

area of trapezium in terms of x=1/2*x(x+3+x+1)

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
In the last 6 years the population of Manchester, England, has grown at a rate of 0.8% per year to 530,300. If this rate continu
Rzqust [24]

Given parameters:

Current population  = 530,300 people

Growth rate  = 0.8% per year

Unknown

Population in 15 more years  = ?

To solve this problem, we  must compound the increase per year.

This implies that we treat the problem like that of a compound interest.

Since we know that population increases by 0.8%,

                          it is similar to 1 + \frac{0.8}{100}  = 1.008 increase

Now the population in 15years will be;

                530300 x (1.008)¹⁵  = 597626 people

So, the population after 15yrs is 597626 people

8 0
3 years ago
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