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3 years ago

Please look at the attached image.

Mathematics

2 answers:

Lelechka [254]3 years ago

6 0

Answer:

Both angle 1 and 3 are 52 degrees

Step-by-step explanation:

if angle 6 is 128, then so are angle 2, 4, and 8.

if angle 2 is 128, and the whole line is 180, then the missing angle (angle 1) must be 52.

angles 1 and 3 are equal

melomori [17]3 years ago

6 0

1 and 3 are 52 degrees

To find angle 3, angle 6 is given as 128 degrees then we know that the opposite angle is supplementary, and the opposite angle happens to be angle 3 so, 180 - 128 = 52 3 = 52

To find angle 1 we use the opposite diagonal property which states that opposites of a diagonal are equal, therefore we can conclude 3 = 1 Which means 1 = 52

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3 years ago

Lauren's house is 30 feet wide. its length is 2 1/2 times its width. how long is lauren's house?

galina1969 [7]

You are trying to solve the length of the house. Let x equal the length of the house. The length of the house is 2 1/2, or 2.5 times its width. The width of the house is 30 feet.

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4 years ago

Read 2 more answers

Add and simplify 9/16 + 1/2 =

harkovskaia [24]

$\boxed{\boxed{ \ \frac{9}{16} + \frac{1}{2} = \frac{17}{16} = 1\frac{1}{16} \ }}$

<h3>Further explanation</h3>

We will work on adding two fractions correctly with different denominators. The two denominators must be equated first.

In order to add these fractions, we need finding the common denominator by multiplying both denominators together.

$\boxed{\frac{9}{16} + \frac{1}{2} = \ ?}$

Both denominators, 16 and 2, are multiplied by one another. What about numerators? Pay attention to the treatment of each fraction.

$\boxed{= \big( \frac{9}{16} \times \frac{2}{2} \big) + \big( \frac{1}{2} \times \frac{16}{16} \big)}$

$\boxed{= \frac{18}{32} + \frac{16}{32}}$

$\boxed{= \frac{34}{32}}$

Let's take a break here to think.

Alternatively, develop a sharper method as below.

$\boxed{= \frac{(9 \times 2) + (16 \times 1)}{16 \times 2}}$

Note how this is performed. Absolutely indeed, cross-multiplication!

$\boxed{= \frac{18 + 16}{32}}$

$\boxed{= \frac{34}{32}}$

The numerator and denominator are divided by two to make it a simple fraction. After that, we simplify again into mixed fractions.

$\boxed{\boxed{ \ \frac{9}{16} + \frac{1}{2} = \frac{17}{16} = 1\frac{1}{16} \ }}$

Gently let's take a break once more to think strategically.

Observing the steps above, we still find a large number when there is a direct multiplication of the two denominators. Are there more highly recommended steps? Of course there is!

$\boxed{\frac{9}{16} + \frac{1}{2} = \ ?}$

The denominators 2 and 16 have LCM = 16. So, we convert the given fractions into equivalent fractions with denominator 16.

$\boxed{= \big( \frac{9}{16} \times \frac{1}{1} \big) + \big( \frac{1}{2} \times \frac{8}{8} \big)}$

$\boxed{= \frac{9}{16} + \frac{8}{16}}$

$\boxed{= \frac{17}{16}}$

Do not forget simplifying again into mixed fractions.

$\boxed{\boxed{ \ \frac{9}{16} + \frac{1}{2} = \frac{17}{16} = 1\frac{1}{16} \ }}$

In the form of fractions, the steps that must be considered are

equate the denominator,
simplify fractions, and
for the final answer, convert fractions to mixed fractions or decimal forms

<h3>Learn more</h3>

How do I solve brainly.com/question/1682776
90 is ¹/₁₀ of _________? brainly.com/question/96882
Investigating the stages of solving a word problem about one variable linear equations brainly.com/question/2038876

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