Mathematics, 05.03.2021 18:30 amandaparrish2323

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1. Non equivalent, use the distributive property. 5*3=18, 5*4=20, so the equation is now 18y - 20, which is not equal to 15y - 20

2. Same with this one, -4 * -2p = 8p, and -4 * 4 = -16. Now the equation is 8p - (-16), or 8p + 16. Not equivalent.

3. 3*-7x = -21x, and 3*13 = 39. Now the equation is -21x - 39, not equivalent.

4. -6*-4a = 24a, and -6*8 = -48, the equation is now 24a+ (-48), or 24a - 48

I did my best, and I am confident in the answers, but I apologize if I am wrong.

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.

Answer from: Quest

arc length = 6.63311 ft.

step-by-step explanation:

the formula the arc measure is:

arc length s=2πr(c)/360

where:

c is the central angle of the arc in degrees

r is the radius of the arc

π is pi, approximately 3.142

using the above formula we get

s = $\frac{19}{360} (2)(3.142)(20) = 6.63311$

thus we find that arc length of an arc for a circle of radius 20 feet and central angle 19 degrees is

6.63311 feet

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