Answer:
w = 70°
x = 70°
y = 40°
z = 40°
Step-by-step explanation:
Notice that two sides of the figure are parallel to each other according to the arrow marking on both sides. This means that by definition this figure must be a parallelogram. This also means that the two other sides must be parallel as well so that there are also two sets of parallel sides.
There is also a transversal (line that cuts across two lines) of which are parallel, this forms different angles which are corresponding, alternate interior, alternate exterior, and supplementary.
70° at <BDC and w are alternate interior which means that they must be the same measure.
Therefore
w = 70°.
Since a parallelogram consists of 2 equal triangles, and we know that two angles are both 70° given that w is 70°, all interior angles must add up to 180° according to the triangle angle sum theorem. So 70° + 70° + y° = 180°.
140° + y° = 180°
–140° –140
Therefore
y = 40°.
Since angle x is exterior and adjacent of (next to) the two interior angles (70° and y), they are supplementary pairs which means that they add up to 180°, because they form a straight line.
Knowing that y is 40°,
x° + 40° + 70° = 180°.
x° + 110° = 180°
–110 –110
Therefore
x = 70°.
Now since angle z is alternate interior of angle y, alternate interior angles have the same measure by definition.
Given that we already know the measure of y = 40°. z must also be 40°
Therefore
z = 40°.
Answer:
uhh i think 175
Step-by-step explanation:
Answer:
Total taxes = $1,520
Step-by-step explanation:
We have two separate calculations for the taxes:
The tax rate for the first $5,000 of Clarisa's gross pay is 1%, so the amount of tax paid in this case is
1% * 5000 = $50
The tax rate for the amount of value over $5,000 (that is, 54,000 - 5,000 = 49,000) is 3%, so the amount of tax is:
3% * 49,000 = $1,470
So, the total amount deducted for state taxes is:
Total taxes = 50 + 1470 = $1,520
There are 160 dolls in the store.
<u><em>Explanation</em></u>
The ratio of the number of teddy bears to the number of dolls is given as 
Suppose, the number of teddy bears 
and the number of dolls 
Given that, the store has 60 teddy bears. That means....
(Dividing both sides by 3)
So, the number of dolls in the store 
The circumference of a circle is always calculated by 2
R
So if R=2.5 m this circumference is 2*
*2.5 m
Which is 5
m (choice B)
Hope this helped!
