RSTU is a parallelogram. If m∠SRV = 48° and m∠SVR = 54°, explain how you can find the measure of ∠TUV. Show all steps of your work, and refer to any properties of triangles, parallelograms, or triangle congruency theorems as necessary to justify your response.

78°

Step-by-step explanation:

Consider triangle SVR. In this triangle, the sum of the measures of all interior angles is equal to 180°.

Then

RSTU is a parallelogram, then by definition, RS is parallel to TU. Angles VSR and VUT are alternate interior angles when parallel lines RS and TU are intersected by transversal SU. By alternate interior angles theorem,

d

step-by-step explanation:

by observation, we can see that the the graph is simply the graph of y = |x| that has been shifted 4 units downwards and 3 units to the left.

we can recognize in choice d :

y = | x + 3 |   - 4 (rewriting in general form)

y = | x - (- 3) |   - 4

the "-4 " term means   that the graph has been shifted by 4 units in the negative y direction

the "-3 " term means   that the graph has been shifted by 3 units in the negative x direction

this matches our observation of the graph described above.

stethere all not eveanp-by-step explanation: