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3 years ago

What is the measure of the base in the triangle shown below? A. 11 B. 45 C. 25 D. 30

Mathematics

1 answer:

dangina [55]3 years ago

5 0

Answer:

c. 25

Step-by-step explanation:

BOTH SIDES HAVE X SO YOU PUT THEM IN A 1 EQUATION WAY AND SOLVE X:

4X+1=2X+23

4X-2X=23-1

2X=32

X= 32/2=11

THEN YOU GO TO THE BASE AND CHANGE X AND SOLVE THE EQUATION WITH X=11

3x11-8

33-8= 25=BASE

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The sum of two numbers is eight one number is four less than the other find the numbers

mash [69]

Step-by-step explanation:

the numbers : x, y

x + y = 8

x = y - 4

we use the second equation in the first :

y - 4 + y = 8

2y - 4 = 8

2y = 12

y = 6

x = y - 4 = 6 - 4 = 2

4 0

2 years ago

Read 2 more answers

How much water can be filled in the can having its shape triangular prismas

frutty [35]

Answer:

$capacity = l \times w \times h \\ = 30 \times 15 \times 20 \\ = 9,000 \: litres$

7 0

2 years ago

Express the product in simplest form.

Dmitry [639]

The product in simplest form is (x - 4)

Solution:

Given expression is:

$\frac{8}{2x+8} \times \frac{x^2-16}{4}$

We have to find the product in simplest form

In the given expression,

2x + 8 = 2(x+ 4)

We know that,

$a^2-b^2=(a+b)(a-b)$

Therefore,

$x^2-16 = x^2-4^2 =(x+4)(x-4)$

Substitute these in given expression

$\frac{8}{2(x+4)} \times \frac{(x+4)(x-4)}{4}$

Cancel the common factors,

$\frac{8}{2(x+4)} \times \frac{(x+4)(x-4)}{4} = x - 4$

Thus the product in simplest form is (x - 4)

8 0

2 years ago

How to factor that polynomial

professor190 [17]

<h3>(1 + 5y)(1 - 5y) is the fully factored form of this polynomial.</h3>

This polynomial can be factored using difference of squares.

This polynomial is in the form of a^2 - b^2 = (a + b)(a - b)

Because 1 * 1 = 1, we can use this formula to simplify this polynomial.

1 - 25y^2 = (1 + 5y)(1 - 5y)

We can use FOIL to verify this.

(1 + 5y)(1 - 5y)

1 - 5y + 5y - 25y^2

1 - 25y^2

6 0

2 years ago

Simplify (8^4/10^4)^-1/4using rational exponents

Vlad1618 [11]

Answer:

$(\frac{8^4}{10^4} )^{-\frac{1}{4} }$ = $\frac{5}{4}$

Step-by-step explanation:

Explanation

Given

$(\frac{8^4}{10^4} )^{-\frac{1}{4} }$

By using algebra formulas

$(\frac{a}{b} )^{m} = \frac{a^m}{b^n}$

$(\frac{8^4}{10^4} )^{-\frac{1}{4} } = \frac{(8^{4})^{\frac{-1}{4} } }{(10^{4} )^{\frac{-1}{4} } }$

$(a^{m} )^{n} = a^{mn}$

$\frac{(8^{4})^{\frac{-1}{4} } }{(10^{4} )^{\frac{-1}{4} } } = \frac{8^{4X\frac{-1}{4} } }{10^{4 X\frac{-1}{4} } }$

= $\frac{8^{-1} }{10^{-1} }$

$= \frac{10}{8} \\= \frac{5}{4}$

Final answer:-

$(\frac{8^4}{10^4} )^{-\frac{1}{4} }$ = $\frac{5}{4}$

7 0

3 years ago