Jack is a civil engineer and uses angle relationships to design public structures such as buildings, bridges, and streets. He designs walking paths in a park as shown below.

Rectangle A B C D has diagonals B D and A C that intersect at the center of the rectangle at point M. Angle M A D is 30 degrees and angle M D A is 60 degrees.

What is the measure of angle BMA where the diagonals meet?

°

The measure of angle BMA is 90 degrees

Step-by-step explanation:

The picture of the question in the attached figure

step 1

Find the measure of angle AMD

we know that

The sum of the interior angles in any triangle must be equal to 180 degrees

In the triangle MAD

substitute the given values

step 2

Find the measure of angle BMA

we know that

---> by supplementary angles (form a linear pair)

substitute the given value

You need to include the original coordinates of the triangle to answer this. and how much does it translate (move left right up down)

Answer: d. 39 cmin the diagram, the approximate length of the minor arc de is 39 centimetres.step-by-step explanation: the formula for the length of an arc in a circle is as displayed below.let the length of the minor arc de = xx = 2( pi )r × angle of sector / 360°from this, we will substitute the values given from the problem into the formula to obtain the length of the minor arc de.x = 2( pi )r × angle of sector / 360°r = radius = 25cmpi as an approximate value = 3.14angle of sector = 120°x = 2( 3.14 )( 25 ) × 120° / 360°x = 157 × 1 / 4x = 39.25x = 39 ( rounded to the nearest whole number as an approximate value )