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jameslinimk
31.03.2020 •
Mathematics
Quadrilateral WXYZ has interior angles that meet the following criteria:
Angles W and X are congruent.
• The smallest angle's measure is 100° less than twice the measure of W.
• The largest angle's measure is 10º more than twice the measure of 2X.
Find the measure of the smallest angle in the quadrilateral.
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Ответ:
Smallest angle is
°
Step-by-step explanation:
Here we have , Quadrilateral WXYZ has interior angles that meet the following criteria:
Angles W and X are congruent.
According to question , angles are congruent i.e. Both angle measure same
⇒![X=W](/tpl/images/0574/2867/008eb.png)
Now ,
• The smallest angle's measure is 100° less than twice the measure of W.
According to above statement we have ,
Smallest angle =![2W-100](/tpl/images/0574/2867/1124a.png)
• The largest angle's measure is 10º more than twice the measure of X. ( correction , in question given as 2X )
According to above statement we have ,
Largest angle =![10+2X=10+2X](/tpl/images/0574/2867/275cc.png)
Now , We know that sum of all 4 angles in 360 i.e.
⇒
{ X=W }
⇒![6W-90=360](/tpl/images/0574/2867/beab9.png)
⇒![6W=450](/tpl/images/0574/2867/17a81.png)
⇒![W=75](/tpl/images/0574/2867/24934.png)
Smallest angle is :![2W-100 = 2(75)-100=50](/tpl/images/0574/2867/1ed51.png)
Therefore , Smallest angle is
° .
Ответ:
$47.66
Step-by-step explanation:
The cost of the sweater is calculated by multiplying .7 x $35. (70% represents the cost of the sweater since there is a 30% discount.). The sweater cost $24.50.
The cost of the jeans is .85 x $28 = $23.80.
The total cost is $24.50 + $23.80 = $43.80.
The tax rate is 8%, which is calculated by multiplying .08 x $43.80 = $3.86 in sales tax.
Including the sales tax, the total cost is $43.80 + 3.86 = $47.66