Mathematics, 02.03.2022 21:50 anggar20

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Answer from: anaemigarcia

(-4, -6) ; (-5,5) ; (5,-6)

Step-by-step explanation:

1. Look at one point on triangle A and triangle B (I used the point at the right angle) and count how many units triangle B was moved from triangle A along the -axis. In this case, it's 4 units. Since triangle B was moved to the left, or in the negative direction, write down -4. Next, do the same for the $y\\$ -axis. Triangle B is 6 units down from triangle A, so again make the number negative: (-4, -6).

2. Follow the same steps as in step #1 to find that triangle B was moved to the left 5 units on the -axis, and up 5 units on the $y\\$ -axis. Re-write this as (-5, 5).

3. Follow the same steps as in steps #1 and #2 to find that triangle B was moved to the right 5 units and down 6 units from the original point of triangle A. Re-write this as (5, -6).

Answer from: Quest

$a^b=\underbrace{a\cdot a\cdot \ldots \cdot a}_{b}$

a - base

b - exponent

$8^3=\underbrace{8\cdot 8 \cdot 8}_{3}$

so,

the base is 8the exponent is 3the exponent tells you to multiply 8 together three timesthe expanded form is 8*8*8

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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