RSTU is a parallelogram. If m∠TSV = 31° and m∠SVT = 126°, explain how you can find the measure of ∠URV. Show all steps of your work, and refer to any properties of triangles, parallelograms, or triangle congruency theorems as necessary to justify your response.(02.06 MC) Quadrilateral RSTU, diagonals SU and RT intersect at point V.

The measure of a ∠URV is 23°

Step-by-step explanation:

The information given from the question are;

The given quadrilateral RSTU = A parallelogram

m∠TSV = 31°

m∠SVT = 126°

Therefore, in triangle ΔSVT, we have;

Sum of interior angles = m∠TSV + m∠SVT + ∠STV = 180° (Sum of angles in of a triangle)

Which gives;

31° + 126° + ∠STV = 180°

∠STV = 180°- (31° + 126°) = 23°

∠STV ≅ ∠URV (Alternate angles of a parallelogram)

Therefore;

∠URV = ∠STV  = 23°

The measure of a ∠URV = 23°

3

step-by-step explanation:

in standard form:

a= dictionaries

b= maps

you have to buy 3 dictionaries, so put a 3 next to the a (dictionaries) so that you can multiply them by each other.

a3+b= 60 (the amount of money you have)

we already know the cost of a=15 so replace a with $15

($15 x 3)+b=60

multiply 15 and 3 to get $45 and replace it with $45

45+b=60

and then replace b with 15 to get the total:

45+15=60

that means you have $15 left after buying 3 dictionaries.

15 divided by the cost of a map ($5) equals 3.

so you can buy 3 maps.

sorry if it was confusing!

answer: 5100 just subtract

step-by-step explanation: