Mathematics: Triangles ABC and DEF are similar. If ∠ABC = 101°and ∠BCA = 39°, find the measure of angle FDE.

Triangles ABC and DEF are similar. If ∠ABC =

andrwisawesome0

13.02.2022

Two triangles, ABC and DEF, similar. <ABC = 101° and <BCA = 39°. Find the angle of FDE!

40°

EXPLANATIONKnown :Triangle ABC and DEF is similar<ABC = 101° = <DEF<BCA = 39° = <DFEAsked :Angle of FDEAnswer :

The sum of all triangle angle is 180°

101 + 39 = 140°

180 - 140 = 40°

So, the angle of FDE is 40°

ANSWER DETAILS

Subject : Math

Class : 7th Grade (Junior High School)

Chapter : -

Categorization Code : -

Keywords : Angle of a triangle

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kikibee

26.02.2023

A. 6 units left and 9 units down

Step-by-step explanation:

The original graph is

$y = {(x - 5)}^{2} + 7$

We want to see the translation from the graph

$y = {(x + 1)}^{2} - 2$

To see the translation clearly, we need to rewrite the second equation in terms of the first equation.

$y = {(x - 5 + 6})^{2} + 7 - 9$

We see clearly that, translating the first graph to the left 6 units and down 9 units will result in the second graph.

The correct answer is A

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