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Oksanka [162]
3 years ago
8

If two sides of a are not =, the angle opposite the ___ side is the larger angle. Choose the word that best completes the statem

ent. shortest intermediate longest

Mathematics
2 answers:
nasty-shy [4]3 years ago
4 0
Longest. Is the answer
nexus9112 [7]3 years ago
4 0

Answer:

Step-by-step explanation:

Triangle is a three dimensional pentagon such that it has three sides and three angles. Two lines that meet at a vertex are known as sides. Angle is the figure made by two sides meeting at a vertex.

As per triangle inequality, sum of two sides is greater than the third side.

Consider the figure:

If AB> AC then \angle C> \angle B

This is because we know that If two sides of a triangle are not equal, the angle opposite the longest side is the larger angle

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Can someone explain this?
Cerrena [4.2K]
<h2>Hello!</h2>

The answer is:

The missing step is the step shown in the last option:

D. 324=0.042x+16

<h2>Why?</h2>

To find which is the missing step, we need to remember that to cancel a square root, we need to elevate it, so:

Starting from the last step before the missing step, we have:

-18=-\sqrt{0.042x+16}

In order to calculate the value of the variable (x) we need to square both sides of the equation, since squaring a root will cancel the root.

We must remember the following properties:

\sqrt{a^{m} }=a^{\frac{m}{2}}\\\\(a^{b})^{c}=a^{b*c}

Now, finding the missing step, we need to find what to do in order to get the expression of the following step.

So, squaring both sides of the equation in order to cancel the square root and isolate the variable, we have:

-18=-\sqrt{0.042x+16}\\\\(-18)^{2} =(-\sqrt{0.042x+16})^{2} \\324=0.042x+16\\324-16=0.042x\\\\x=\frac{304}{0.042}=7333

Hence, we found the the missing step is:

D. 324=0.042x+16

Have a nice day!

4 0
3 years ago
Mr. Jackson invested a sum of money at 6% per year, and 3 times as much at 4%
bogdanovich [222]

Mr. Jackson invested $800 at 6% per year and $ 2400  at 4 % per year

<h3><u>Solution:</u></h3>

Mr. Jackson invested a sum of money at 6% per year, and 3 times as much at 4% per year.

Let the sum invested be ‘a’ and ‘3a’ at 6% per year and 4 % per year respectively

Also, his annual return totaled $144

We can form following equation on the basis of question:-

\begin{array}{l}{\text { Then, } \frac{a \times 6 \times 1}{100}+\frac{3 a \times 4 \times 1}{100}=\$ 144} \\\\ {\frac{6 a}{100}+\frac{12 a}{100}=144} \\\\ {\frac{6 a+12 a}{100}=144} \\\\ {\frac{18 a}{100}=144} \\\\ {18 a=14400} \\\\ {a=14400 \div 18}\end{array}

a = $800

The amount of money invested at 6% = a = 800

The amount of money invested at 4 % = 3a = 3(800) = 2400

So, the amount of money invested at 6% is $800 and the amount of money invested at 4% is $ 2400

4 0
3 years ago
What two measurement could make up a complementary angle when one angle is 8 degrees more than the other?
Firdavs [7]
Complimentary angles add up to 90 degrees

x + y = 90
x = y + 8

y + 8 + y = 90
2y + 8 = 90
2y = 90 - 8
2y = 82
y = 82/2
y = 41

x = y + 8
x = 41 + 8
x = 49

so ur angles are : 41 and 49
7 0
3 years ago
PLEASE HELP ASAP! TYSMM
DerKrebs [107]
This is in the lower right corner and is a right triangle.  So we use the Area calculation of a right triangle.

<u>ab</u>    =  <u>(4)(2)</u>    The height is given as 4 in and we know the base is 2 in
 2             2            We know this because the top right distance is given as 2
          
              8 / 2 = 4 square inches

7 0
3 years ago
Jan is cutting a rectangular pan of brownies.She cut them in half and then cut each of those halves in half again.She did the sa
ivann1987 [24]
4 brownies.

Do you need work?
3 0
3 years ago
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