Answer:
A). h = 20 w
B). m = 10.5h
Step-by-step explanation:
Part (A).
Let the total number of hours Hector worked = h
And total number of weeks worked by Hector = w
Therefore, number of hours Hector worked in a week =
Since, total number of hours worked in a week = 20
Equation will be,
20 =
h = 20w
Part (B).
Per hour earning of Hector =
m = 10.5h
b.All isosceles triangles are similar. The triangle sum theorem states that the sum of the angles in a triangle is 180°. Therefore, the third angle can always be determined.
c.All isosceles triangles are not similar. The pair of congruent angles within one triangle is not necessarily congruent to the pair of congruent angles within the other triangle.
d.All isosceles triangles are not similar. Given only the vertex angle of an isosceles triangle, there is not enough information to determine the measures of the base angles. Therefore, it is not possible to determine if the base angles of one isosceles triangle are congruent to the base angles of another.
The correct answer is:
C) All isosceles triangles are not similar. The pair of congruent angles within one triangle is not necessarily congruent to the pair of congruent angles within the other triangle.
Explanation:
Imagine we have an isosceles triangle in which the base angles are each 45°. This would make the vertex angle 90°.
Now imagine we have an isosceles triangle in which the base angles are each 30°. This would make the vertex angle 120°.
Since the angles of the first triangle are not congruent to the angles in the second triangle, the triangles are not similar.
This shows that not all isosceles triangles are similar.
Answer: c. All isosceles triangles are not similar. The pair of congruent angles within one triangle is not necessarily congruent to the pair of congruent angles within the other triangle.
Step-by-step explanation:
An isosceles triangle is a triangle that has two sides of equal length.
Also, the isosceles theorem says that "If two sides of a triangle are congruent, then the angles opposite to these sides are congruent.
"
Consider a triangle with equal angles measure as 30°( which means the third angles will be 120°) measure and another triangle with equal angles measure as 60 ° °( which means the third angles will be 60°).
⇒ It contradicts the similarity criteria for triangle which says that in similar triangles all corresponding angles are congruent .
∴ All isosceles triangles are not similar .The pair of congruent angles within one triangle is not necessarily congruent to the pair of congruent angles within the other triangle.
Answer:
The correct answer is C. 150x + 625 because x equals the total number of weeks. Hope this helps!
WKOD 13%
WANR 22%
WCLM 24%
WWCN 41%
write a ratio to express the number of people who preferred WANR to those who preferred WCLM
A. 11 : 12
B. 23 : 100
C. 46 : 100
D. 3 : 50
Answer:
Option A is right
Step-by-step explanation:
The graph represents the results of a survey where 400 people were asked to identify the preferred TV channcel.
Of those the data collected gave
WKOD 13%
WANR 22%
WCLM 24%
WWCN 41%
Ratio of people who preferred WANR to those who preferred WCLM
= 22%/24%
=11:12
Hence answer is 11:12
Answer:
See below
Step-by-step explanation:
Year Starting balance,$ prt, $ Interest,$
1 1400 1400(1+0.06) = 1484.00 84
2 1484 1484(1+0.06) = 1573.04 89.04
3 1573.04 1573.04(1+0.06) = 1667.42 94.38