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Citrus2011 [14]
3 years ago
10

This is geometry. how would I find the x pretty pls help

Mathematics
1 answer:
kondor19780726 [428]3 years ago
8 0

Answer:

x = 70°

Step-by-step explanation:

We are given that two of the sides are congruent so that will make the triangle isosceles.

We know also that the base angles of an isosceles triangle are congruent so we know a second angle.

< 1 = 55° ( given)

< 2 = 55° ( isosceles Δs have base <s ≅)

Using the fact that the sum of angles in a triangle is 180° we can find the third angle.

< 3 = 180 -55-55 = 70°

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A coffee shop spends $408 for an order of 17 cases of paper cups. If the coffee shop adds 5 more cases of paper cups to the orde
-Dominant- [34]

Answer:

  $528

Step-by-step explanation:

If cost is proportional to order quantity, the cost for 17+5 = 22 cases of cups will be 22/17 times the cost for 17 cases:

  (22/17)($408) = $528

7 0
4 years ago
The steps to derive the quadratic formula are shown below:
alukav5142 [94]

Answer:

  (c)  x plus b over 2 times a equals plus or minus the square root of the quantity b squared minus 4 times a times c all over the square root of 4 times a squared

Step-by-step explanation:

The next step is to take the square root of both sides of the equation. It can help to show the intermediate steps.

<h3>Result so far</h3>

The last step shown in the derivation so far is ...

  x^2+\dfrac{b}{a}x+\dfrac{b^2}{4a^2}=-\dfrac{4ac}{4a^2}+\dfrac{b^2}{4a^2}

<h3>Next step</h3>

The left side of the above expression can be written as a square, and the right side can be written over one denominator. Then the square root is taken as the next step.

  \left(x+\dfrac{b}{2a}\right)^2=\dfrac{b^2-4ac}{4a^2}\\\\\sqrt{\left(x+\dfrac{b}{2a}\right)^2}=\sqrt{\dfrac{b^2-4ac}{4a^2}}\\\\\boxed{x+\dfrac{b}{2a}=\pm\dfrac{\sqrt{b^2-4ac}}{\sqrt{4a^2}}}\qquad\text{"next step"}

7 0
2 years ago
Read 2 more answers
A theater group made appearances in two cities. The hotel charge before tax in the second city was $500 lower than in the first.
Mazyrski [523]

Answer:

First city: $5,500

Second city: $5,000

Step-by-step explanation:

Let's define x as the hotel price in the first city and y the hotel price in the second city.  We can start with this equation:

y = x - 500 (The hotel before tax in the 2nd city was $500 lower than in the 1st.)

Then we can say

0.065x + 0.045y = 582.50  (the sum of the tax amounts were $582.50)

We place the value of y from the first equation in the second equation:

0.065x + 0.045 (x - 500) = 582.50

0.065x + 0.045x - 22.50 = 582.50 (simplifying and adding 22.5 on each side)...

0.11x = 605

x = 5,500

The cost of the first hotel was $5,500

Thus, the cost of the second hotel was $5,000 (x - 500)

6 0
3 years ago
The length of an insect’s wing, drawn at a scale of 50:1, is 15 cm. What is the actual length of the wing?
Mkey [24]
50*15cm=750cm
750cm long 
7 0
4 years ago
Read 2 more answers
bridget has a coupon for 30% off the regular price of one item at a bicycle store. She buys a bicycle that has a regular price o
ser-zykov [4K]
30% off means she is paying 70%

0.70(139.99) = 97.99

and there is a 6% sales tax

97.99 * 1.06 = 103.869 rounds to 103.87 <==
8 0
4 years ago
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