From the diagram, all three angles are 90° (Diagonals of a Rhombus)

Angle 1 = 9x = 90
⇒ 9x = 90
x = 90/9
x = 10

Angle 2 = y + x = 90
⇒ y + x = 90
since x = 10,
y + 10 = 90
y = 90 - 10
y = 80

Angle 3 = 15 z = 90
⇒ 15z = 90
z = 90/15
z = 6

Answer is Option C
<span>C. x = 10, y = 80, z = 6</span>

3 0

3 years ago

Can someone help me on this ? its Algebra 1 on exponents

Svetradugi [14.3K]

The volume of a rectangular prism is its length times width times height, or algebraically, $V=lwh$ . You may be used to computing volume with numbers, but remember, a variable is a stand-in for a number. So you can solve this in the same way. Substitute $l=x, w= \frac{x}{2},h= \frac{x}{3}$ into the formula for volume. You get $(x)( \frac{x}{2})( \frac{x}{3} )$ , and you multiply these factors together. As you would with ordinary fractions, multiply the numerators and denominators across. You get $\frac{(x)(x)(x)}{(1)(2)(3)} = \frac{x^3}{6}$ . It seems that the book wants you to simplify by bringing the 6 up to the denominator. Recall the rule $x^{-n}= \frac{1}{x^n}$ , if n is non-negative. The opposite applies so that $\frac{1}{6} = 6^{-1}$ . For your final answer, you write $6^{-1}x^3$ . This corresponds to answer choice B.

3 0

3 years ago

The inventory of a store 2 years ago was worth $45,000. This year it is worth $49,500. What is the percent increase?

UkoKoshka [18]

It is 0.4500% hope this helps

7 0

3 years ago