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3 years ago

Make a conjecture abouth the following statement: Angle ABC and angle CBD are adjacent.

Mathematics

1 answer:

zvonat [6]3 years ago

3 0

The measure of Angle ABD = measure of Angle ABC + measure of Angle CBD

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horrorfan [7]

The correct answer would be B

4 0

3 years ago

Please help asap!! I need help

lana66690 [7]

It would be -5 because 4- 3*12/4 = -5

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3 years ago

There are 35 boys in the sixth grade. The number of girls in the sixth grade is 42. Lonnie says that means the ratio of the numb

Keith_Richards [23]

No, Lonnie is not correct because the correct answer is 5/6. If you do 35/42 divide both by 7, it'll be 5/6.

7 0

3 years ago

Which equation shows the quadratic formula used correctly to solve 5x2 + 3x – 4 = 0 for x? x = StartFraction negative 3 plus-or-

Brrunno [24]

Answer: FIRST OPTION

Step-by-step explanation:

<h3> The missing picture is attached.</h3>

By definition, given a Quadratic equation in the form:

$ax^2+bx+c=0$

Where "a", "b" and "c" are numerical coefficients and "x" is the unknown variable, you caN use the Quadratic Formula to solve it.

The Quadratic Formula is the following:

$x=\frac{-b \±\sqrt{b^2-4ac} }{2a}$

In this case, the exercise gives you this Quadratic equation:

$5x^2 + 3x - 4 = 0$

You can identify that the numerical coefficients are:

$a=5\\\\b=3\\\\c= - 4$

Therefore, you can substitute values into the Quadratic formula shown above:

$x=\frac{-b \±\sqrt{b^2-4ac} }{2a}\\\\x=\frac{-3 \±\sqrt{(3)^2-4(5)(-4)} }{2(5)}$

You can identify that the equation that shows the Quadratic formula used correctly to solve the Quadratic equation given in the exercise for "x", is the one shown in the First option.

6 0

3 years ago

Read 2 more answers

The first three terms of a sequence are given. Round to the nearest thousandth (if necessary).

BaLLatris [955]

Answer:

a₆ ≈ 25.284

Step-by-step explanation:

There is a common ratio between consecutive terms , that is

8 ÷ 6 = $\frac{32}{3}$ ÷ 8 = $\frac{4}{3}$

This indicates the sequence is geometric with nth term

$a_{n}$ = a₁ $r^{n-1}$

where a₁ is the first term and r the common ratio

Here a₁ = 6 and r = $\frac{4}{3}$ , then

a₆ = 6 × $(\frac{4}{3}) ^{5}$ = 6 × $\frac{1024}{243}$ = $\frac{6(1024)}{243}$ ≈ 25.284 ( to the nearest thousandth )

6 0

2 years ago

Read 2 more answers