1. In a group of 100 persons, 72 people can speak Visayan and 43
can speak Chavacano. How many
can speak Visayan only? How many
can speak Chavacano only and how
many can speak both Visayan and
Chavacano?

First how many are speaking both. We know that 72+43=115 which is more than the total.

115-100=15 that is the number of people that speak both.

The number of Visayan speakers who also speak Chavacano is x, the number of Chavacano speakers who also speak Visayan is y.

The number of people who speak only 1 language is 85. For Visayan only speakers,

For Chavacano only speakers,

where .

So we have,

Add the equations up,

Repeat with y,

Add them up,

which means there are no solutions because we do not have sufficient information.

Hope this helps :)

c. 27 units.

step-by-step explanation:

we are told that in circle a, ∠bae ≅ ∠dae.

we can see from our given diagram that in and ;

, as these are radii of our given circle.

therefore, by sas congruence postulate.

hence, side be will be equal to side de as corresponding parts of congruent triangles are congruent. so we can set an equation to find the value of x as:

now let us substitute x=17 in the expression for the length of be.

therefore, length of be will be 27 units and option c is the correct choice.