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balu736 [363]
3 years ago
8

If triangle ABC is congruent to triangle DEC, angle B = x + 15 and angle E = 6x - 65

Mathematics
1 answer:
DENIUS [597]3 years ago
5 0
If triangle ABC is congruent to triangle DEC, then all the lengths and angles in the one triangle are equal to their corresponding lengths and angles in the other triangle.

In other words, Angle B = Angle E

x+15 = 6x-65

Now solve for x:
-80 = 5x
-16 = x
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-24x -15 = -27. Step by step explanation on how to solve this problem.
Jet001 [13]

Answer:

x = \frac{1}{2}

Step-by-step explanation:

Given

- 24x - 15 = - 27 ( add 15 to both sides )

- 24x = - 12 ( divide both sides by - 24 )

x = \frac{-12}{-24} = \frac{1}{2}

7 0
3 years ago
Read 2 more answers
I need the perimeter and area ​
kirza4 [7]

Answer:

P: 32

A: 63

Step-by-step explanation:

I hope that thats right..

6 0
3 years ago
Write a conditional statement. Write the converse, inverse and contrapositive for your statement and determine the truth value o
photoshop1234 [79]
A conditional statement involves 2 propositions, p and q. The conditional statement, is a proposition which we write as: p⇒q,

and read  "if p then q" 



Let p be the proposition: Triangle ABC is a right triangle with m(C)=90°.

Let q be the proposition: The sides of triangle ABC are such that 

|AB|^2=|BC|^2+|AC|^2.


An example of a conditional statement is : p⇒q, that is:

if Triangle ABC is a right triangle with m(C)=90° then The sides of triangle ABC are such that |AB|^2=|BC|^2+|AC|^2


This compound proposition (compound because we formed it using 2 other propositions) is true. So the truth value is True, 


the converse, inverse and contrapositive of p⇒q are defined as follows:

converse: q⇒p
inverse: ¬p⇒¬q (if [not p] then [not q])
contrapositive: ¬q⇒¬p

Converse of our statement:

if The sides of triangle ABC are such that |AB|^2=|BC|^2+|AC|^2
then Triangle ABC is a right triangle with m(C)=90°

True


Inverse of the statement:

if Triangle ABC is not a right triangle with m(C) not =90° then The sides of triangle ABC are not such that |AB|^2=|BC|^2+|AC|^2

True


Contrapositive statement:

if The sides of triangle ABC are not such that |AB|^2=|BC|^2+|AC|^2  then Triangle ABC is not a right triangle with m(C)=90°


True









4 0
3 years ago
55 points see attachment below
Ludmilka [50]

Answer:

  f(3) = -20

Step-by-step explanation:

To find the value of a function, substitute the number for the variable and do the arithmetic.

  f(x) = -2x^2 +x -5 . . . . . . given

  f(3) = -2(3^2) +(3) -5 . . . . function value for x = 3

  f(3) = -2(9) +3 -5 = -18 +3 -5

  f(3) = -20

4 0
2 years ago
I NEED HELP
jeka94
B has more because 10/5 is 2 and 8/12 is less
4 0
3 years ago
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