What is the measure of angle z and why?

Mathematics

1 answer:

Svetach [21]3 years ago

4 0

124° Is your answer.

The triangle Is an isosceles triangle which means the two bases will be the same angle. 180° is this sum of all angles in a triangle. If 62 is the right base angle then 62 must be the left base angle since is an isosceles triangle. Add 62 and 62 together then subtract from 180. That would give you 54° as the third angle angle at top. Since you are looking for a Z, we now know that z and 54° are symmetry and equal 180 when added together. We then subtract 54 from 180 to get the angle of z.

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What is the fraction -2 over 3 multiplied by -2 equal?

defon

-2/3 times -2. You change -2 into -2/1 so you can multiply numerator to numerator and denominator to denominator. You will get 4/3 (negatives cancel out)

3 0

3 years ago

Brown rice costs $2 per pound, and beans cost $1.60 per pound. Lin has $10 to spend on these items to make a large meal of beans

Valentin [98]

Answer:

1. $2r+1.6b=10$

2. $r=5-0.8b$

3. $b=6.25-1.25r$

Step-by-step explanation:

<h3> The complete exercise is: "Brown rice costs $2 per pound, and beans cost $1.60 per pound. Lin has $10 to spend on these items to make a large meal of beans and rice for a potluck dinner. Let b be the number of pounds of beans Lin buys and r be the number of pounds of rice she buys when she spends all her money on this meal.</h3><h3>1. Write an equation relating the two variables.</h3><h3>2. Rearrange the equation so "b" is the independent variable.</h3><h3>3. Rearrange the equation so "r" is the independent variable."</h3><h3 />

1. According to the information exercise given in the exercise, the cost per pounds of brown rice is $2. Since "r" represents the number of pounds of rice Lin buys, the total cost of the brown rice she buys can be represented with this expression:

$2r$

The beans cost $1.60 per pound. Since "b" represents the number of pounds of beans Lin buys, the total cost of beans she buys can be represented as:

$1.6b$

Knowing that she spends $10, you can write the following equation:

$2r+1.6b=10$

2. In order to rearrange the equation so "b" is the independent variable, you need to solve for "r":

$2r+1.6b=10\\\\2r=10-1.6b\\\\r=\frac{10-1.6b}{2} \\\\r=5-0.8b$

3. To rearrange the equation so "r" is the independent variable, you must solve for "b". You get:

$2r+1.6b=10\\\\1.6b=10-2r\\\\b=\frac{10-2r}{1.6}\\\\b=6.25-1.25r$

7 0

3 years ago

The second term in a geometric sequence is 20. The fourth term in the same sequence is 45/4 or 11.25. What is the common ratio i

kati45 [8]

$\bf \begin{array}{ccll}
n&term&value\\
\text{\textemdash\textemdash\textemdash}&\text{\textemdash\textemdash\textemdash}&\text{\textemdash\textemdash\textemdash}\\
2&a_2&20\\
3&a_3&20r\\
4&a_4&20rr\\
&&20r^2\\\\
&&\frac{45}{4}
\end{array}\implies \stackrel{4^{th}~term}{20r^2=\cfrac{45}{4}}\implies r^2=\cfrac{45}{80}
\\\\\\
r^2=\stackrel{simplified}{\cfrac{9}{16}}\implies r=\sqrt{\cfrac{9}{16}}\implies r=\cfrac{\sqrt{9}}{\sqrt{16}}\implies r=\cfrac{3}{4}$