Which pair of ratios forms a proportion?

Mathematics

1 answer:

Vladimir79 [104]3 years ago

4 0

34 and 43::::::::::::::

You might be interested in

2+6i/2-4i = a + bi What is the value of a? What is the value of b?

Talja [164]

$\dfrac{2+6i}{2-4i}\\\\\\=\dfrac{2(1+3i)}{2(1-2i)}\\\\\\=\dfrac{1+3i}{1-2i}\\\\\\=\dfrac{(1+3i)(1+2i)}{(1-2i)(1+2i)}\\\\\\=\dfrac{1+2i+3i+6i^2}{1-(2i)^2}\\\\\\=\dfrac{1+5i-6}{1+4}~~~~;[i^2=-1]\\\\\\=\dfrac{5i-5}{5}\\\\\\=\dfrac{5(i-1)}5\\\\=i-1\\\\=-1+i\\\\\text{It is in a form of a +bi so,}~ a = -1~ \text{and}~ b = 1$

6 0

3 years ago

What is ( 13824 - 11 ) x 9

nexus9112 [7]

[ Answer ]

$\boxed{124317}$

[ Explanation ]

(13824 - 11) * 9

Parenthesis

Exponents

Multiply

Divide

Add

Subtract

13824 - 11 = 13813

Multiply

13813 * 9 = 124317

$\boxed{[ \ Eclipsed \ ]}$

8 0

3 years ago

Read 2 more answers

This figure shows △XYZ . MZ¯¯¯¯¯¯ is the angle bisector of ∠YZX . What is XM ? Enter your answer, as a decimal, in the box. unit

astraxan [27]

Answer:

Length of XM is 5.5 units.

Step-by-step explanation:

Given △XYZ where MZ is the angle bisector of ∠YZX . we have to find the length of XM.

A triangle with vertices X, Y, and Z. Side XZ is base. A line segment drawn from Z to M bisects ∠YZX into two parts ∠YZM and ∠XZM.

YZ=7 units, XZ=11 units and YM=3.5 units

By angle bisector theorem which states that an angle bisector of an angle divides the opposite side in two segments that are proportional to the another two sides of the triangle.

Hence, $\frac{YM}{MX}=\frac{YZ}{XZ}$