Answer:
Step-by-step explanation:
<u>Angles and Lines</u>
The figure shows two triangles WXZ and WYZ. Considering:
* Angles WXZ and WYZ are right (90°)
* Sides XW and YW are congruent (red marker on both)
* They share the side WZ.
We can conclude they are congruent. Thus, angles XZW and YZW are congruent or have the same measure:
5x + 4 = 6x
Subtracting 5x:
4 = x
Or, x =4
Thus:
Answer:
<em>of Carl's rocks are quartz or granite</em>
Step-by-step explanation:
<u>Proportions and Fractions </u>
A proportion is expressed as a fraction a/b, where a and b are compared by division. If a=b, the proportion (or ratio) equals 1, if a<b, the ratio is less than 1, and if a>b, the ratio is greater than 1. The proportion of elements of a set to the total number of elements of the set is less than one, and the sum of all them equals 1.
We know 3/8 of Carl's rock collection are quartz and 1/3 are granite. If both subsets of rocks are mutually exclusive or disjoint (cannot happen simultaneously), then the proportion of both is the sum of the fractions.