What is a name for the marked angle?

X + 8 = -6 need this asap ty

Leno4ka [110]

Answer:

Solution given:

x+8=-6

x=-6-8=-14

4 0

3 years ago

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The hypotenuse of a 45°-45°-90° triangle measures 4 cm. What is the length of one leg of the triangle

artcher [175]

The angles of the triangle are given as to have measures of 45°-45°-90°. This entails that the triangle is an isosceles triangle where the 2 legs of the triangle are of equal length. We calculate as follows:

c² = a² + b²

c² = 2a²

4² = 2a²

a = 2√2

Hope this answers the question. Have a nice day.

4 0

4 years ago

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How do I find the ration of the first number to the second and simplify? 0.4 to 1.2

Ivanshal [37]

Answer:

1:3

Step-by-step explanation:

it is a bit easy to get it out of decimal ratio, so multiply it by 10, which gives you 4:12, so now you have a bigger answer to work with, you can divide 12 by 4, which gives you 3, and a ratio of 1:3

5 0

4 years ago

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An elephant can run 4 of a mile in 36 seconds. At this rate, which expression can be

statuscvo [17]

Answer:

One-fourth mile over thirty-six seconds = 25 miles per hour.

Step-by-step explanation:

We have been given that an elephant can run one over four of a mile in 36 seconds.

To find elephant's rate in miles per hour, we will convert our given time in hours as shown below:

0.25mile/36sec * 60sec/1min * 60min/1hr

900miles/36hr

25miles/hr

Therefore, It's One-fourth mile over thirty-six seconds = 25 miles per hour.

7 0

3 years ago

Solve: (-5/6) × (9/20) + (-5/6) × 7/25 = ?

jonny [76]

$\bf \underline{★ How \:to\: do -} \\$

Here, we are given with four fractions to multiply two of them and to add two of them. If we add them directly by taking the LCM and adding them is not a similar way. We can clearly observe that in those four fractions, we have two fractions as common i.e, we have two fractions as same. If we have two fractions or numbers as same, we can solve the sum by an other concept called as distributive property. In this property, we multiply the common fraction with the sum of other two fractions. This concept can also be done with fractions as well as integers. So, let's solve!!

$\:$

$\bf \underline{➤ Solution-} \\$

${\tt \leadsto \dfrac{(-5)}{6} \times \dfrac{9}{20} + \dfrac{(-5)}{6} + \dfrac{7}{25}}$

Group the non-common fractions in bracket.

${\tt \leadsto \dfrac{(-5)}{6} \times \bigg( \dfrac{9}{20} + \dfrac{7}{25} \bigg)}$

First we should solve the numbers in bracket.

LCM of 20 and 25 is 100.

${\tt \leadsto \dfrac{(-5)}{6} \times \bigg( \dfrac{9 \times 5}{20 \times 5} + \dfrac{7 \times 4}{25 \times 4} \bigg)}$

Multiply the numerators and denominators in the bracket.

${\tt \leadsto \dfrac{(-5)}{6} \times \bigg( \dfrac{45}{100} + \dfrac{28}{100} \bigg)}$

Now, write both numerators in bracket with a common denominator.

${\tt \leadsto \dfrac{(-5)}{6} \times \bigg( \dfrac{45 + 28}{100} \bigg)}$

Now, add the numerators in bracket.

${\tt \leadsto \dfrac{(-5)}{6} \times \bigg( \dfrac{73}{100} \bigg)}$

Write the numerator and denominator in lowest form by cancellation method.

${\tt \leadsto \dfrac{\cancel{(-5)} \times 73}{6 \times \cancel{100}} = \dfrac{(-1) \times 73}{6 \times 20}}$

Now, multiply the numerators and denominators.

${\tt \leadsto \dfrac{(-73)}{120}}$

$\:$

${\red{\underline{\boxed{\bf So, \: the \: answer \: obtained \: is \: \: \dfrac{(-73)}{120}}}}}$

3 0

3 years ago