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3 years ago

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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If 2^x=1/32, find the value of x

Dovator [93]

Answer:

In this equation x is equal to -5.

Step-by-step explanation:

In order to find this, we first have to note for the base (2) to be larger than the answer (1/32), the exponent would have to be negative. We also can note that 2^5 is equal to 32, which allows us to know that the negated version would give us 1/32.

2^-5 = 1/32

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2 years ago

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Answer:

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Step-by-step explanation:

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2 years ago

Jim has 5 computer science books and 3 math books. he has room to arrange four of them on a shelf. he wants at least two compute

zysi [14]

Answer: There are 60 different ways that he can arrange the books.

Step-by-step explanation:

Since we have given that

Number of computer science books = 5

Number of math books = 3

Number of books selected = 4

Atleast Number of computer science = 2

Atleast number of math book = 1

According to question, he wants at least two computer science books and at least one math book, and he wants to keep the computer science books and the math books together.

So, Number of different ways that he can arrange the books is given by

$^5C_2\times ^3C_2+^5C_3\times ^3C_1\\\\=30+30\\\\=60$

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2 years ago

Perimeter of the triangle below ?

Paha777 [63]

Answer:

31x^2-13x

Step-by-step explanation:

to find the perimeter of a triangle, add all sides.

P=a+b+c

P=(5x^2+x)+(8x^2-3x)+(18x^2-11x)

combine like terms

5x^2+8x^2-18x^2= 31x^2

x-3x-11x= -13x

31x^2-13x

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3 years ago