1. For every 1/4 mi Pascal walks, Lucien runs 2/3 mi. How many miles does Pascal walk for every 1 mi Lucien runs? Write your answers in the blanks. Write a complete sentence to answer the question.

Step-by-step explanation:

1/4:2/3 = x:3/3

cross multiply

1/4         x

2/3       1

2/3x=1/4

divide by 2/3 on both sides..

when you divide a fraction you multiply by its reciprocal

1    3      3

4   2       8

so when lucien runs a mile, pascal walks 3/8 of a mile

3/8

m∠abd = m∠dbc

step-by-step explanation:

given : ab bisects ∠dbc

as we know that bisection means ab divides   ∠dbc   in two equal angles named as   ∠dba and   ∠abc

so, m∠abd = m∠dbc  

because ab bisects ∠dbc.

hence , the first statement m∠abd = m∠dbc is true.