3. a) p∝1/m
P=k/m
48=k/9
48×9=k
k=432
the equation is: p=432/m
b) p∝1/m
P=k/m
P=432/12
P=36
Answer:
Vanilla = 10 sundaes
Step-by-step explanation:
Total sundaes = 25
1/5 of the sundaes are mint ice cream
Mint ice cream = 1/5 of 25
= 1/5 * 25
= 25/5
= 5
Sundaes remaining = total sundaes - sundaes for mint ice cream
= 25 - 5
= 20 sundaes
Sundaes remaining = 20 sundaes
1/2 of the remaining sundaes are chocolate
= 1/2 of 20
= 1/2 * 20
= 20/2
= 10
Chocolate ice cream = 10
The rest will be vanilla
Sundaes remaining = 20 - 10
= 10 sundaes
Vanilla = 10 sundaes
These bisectors intersect each-other at 90 degrees. And it means that they are perpendicular. Since they are perpendicular, we find that there 4 congruent triangles and XY is parallel to WZ and WX is parallel to YZ. Additionally, opposite angles are equal. These two latter findings are the characteristics of the parallelogram.
Answer:
Step-by-step explanation:
<u><em>The correct question is</em></u>
If Triangle ABC is congruent with triangle DEF, DE=17, EF =13, DF =9, and BC = 2x-5, then which of the following is the correct value of x?
we know that
If two triangles are congruent, then their corresponding sides and their corresponding angles, are congruent
In this problem
The corresponding sides are
AB and DE
AC and DF
BC and EF
The corresponding angles are
∠A and ∠D
∠B and ∠E
∠C and ∠F
so
AB≅DE
AC≅DF
BC≅EF
and
∠A≅∠D
∠B≅∠E
∠C≅∠F
<em>Find the value of x</em>
BC≅EF
substitute the given values
Solve for x
