Mathematics, 04.10.2020 14:01 jennyferluna0216

Can you please help?

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Answer from: vso227

$\huge\boxed{3.873}$

Step-by-step explanation:

Note that the squares are on the sides of these triangles are on the hypotenuse/one leg.

We know that the area of a square is l^2 where l is the length. Since we know the area, we can find the square root of the area to find the side length.

So the side lengths are $\sqrt{25}$ and $\sqrt{10}$ .

Since we know the hypotenuse is $\sqrt{25}$ and one of the legs is $\sqrt{10}$ , we can use the Pythagorean Theorem to find the missing side.

The Pythagorean Theorem states that a^2 + b^2 = c^2 , where c is the hypotenuse and a/b are the legs.

We know the hypotenuse and a leg, so we can substitute inside

$a^2 + \sqrt{10}^2 = \sqrt{25}^2$

Squaring a square root is the same as doing nothing.

$a^2 + 10 = 25\\\\a^2 = 25-10\\\\a^2 = 15\\\\a = \sqrt{15}\\\\a \approx 3.873$

Hope this helped!

Answer from: Quest

Yes of course i will indeed you with your problem.

Answer from: Quest

Answer: question no. 1 -a. yes, the sides are in the ratio 2 : 5.question no. 2 -b. 59°question no. 3 -c. angles x and y are remote interior angles.question no. 4 -d. 90°, 45° and 45°question no. 5 -b. mn and qrstep-by-step explanation: question no. 1 -rs : xu = 3 : 7.5 = 2 : 5rt : x? = 6.4 : 16 = 2 : 5st : u? = 6 : 15 = 2 : 5as the ratios of all sides are equivalent, the triangles must be congruent and the sides must be proportional.therefore, the answer is: a. yes, the sides are in the ratio 2 : 5.question no. 2 -in the second diagram, angle b is the only letter not shown. therefore, the number must be equivalent to angle b.if we substitute the value of angle b as being 22° in the first diagram, we can now use the angle sum of a triangle to obtain the value of angle a.angle sum of a triangle = 180°therefore: let angle a = aa + 99 + 22 = 180a = 180 - 99 - 22a = 59°therefore, the answer is: b. 59°question no. 3 -angles x and y don't share the vertex of the triangle with the exterior angle w. remote interior angles don't share a vertex of a triangle with an exterior angle. this means that angles x and y are remote interior angles.therefore, the answer is: c. angles x and y are remote interior angles.question no. 4 -the sum of all interior angles of a triangle must be equivalent to 180°.90°, 45° and 45° are the only set of angle measures that are equivalent to 180°.therefore, the answer is: d. 90°, 45° and 45°question no. 5 -the only pair of sides stated in the options which are corresponding are mn and qr.therefore, the answer is: b. mn and qr.

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