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2 years ago

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

Mathematics

1 answer:

kondor19780726 [428]2 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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Shauna spent $175 on a pair of shoes.She spent 1/9 of the remaining money on a shirt.If he still had 4/7of his moneyleft,how muc

KIM [24]

Answer:

$490

Step-by-step explanation:

Shauna spent $175 on a pair of shoes.

She spent 1/9 of the remaining money on a shirt.

If he still had 4/7 of his money left,how much did he have at first ?

Solution:

Let at first, Shauna have = $x$

Money spent on a pair of shoes = $175

Remaining money = $x-175$

As she spent 1/9 of the remaining money on a shirt.

Money spent on shirt = $\frac{1}{9} \times(x-175)=\frac{x}{9} -\frac{175}{9}$

As he still had $\frac{4}{7}$ of his money left:-

Money left = $\frac{4}{7}\ of\ his\ money=\frac{4x}{7}$

Money left with Shauna = Total money, she had at first -(Money spent on a pair of shoes + Money spent on shirt )

$\frac{4x}{7} =x-(175+{\frac{x}{9} -\frac{175}{9} )\\\\\\$

$\frac{4x}{7} =x-(\frac{175}{1} -\frac{175}{9} +\frac{x}{9} )\\\\ \frac{4x}{7} =x-(\frac{1575-175}{9} +\frac{x}{9} )\\\\ \frac{4x}{7}=x-(\frac{1400}{9} +\frac{x}{9} )\\ \\ \frac{4x}{7}=x-\frac{1400}{9} -\frac{x}{9}$

Subtracting both sides by $x$ and adding both sides by $\frac{x}{9}$

$\frac{4x}{7} -x+\frac{x}{9} =-\frac{1400}{9} -x+\frac{x}{9} +x-\frac{x}{9}$

Taking LCM of 7 and 9, we get 63

$\frac{36x-63x+7x}{63} =-\frac{1400}{9} \\ \\ -\frac{20x}{63}=-\frac{1400}{9}$

Adding both side by -

$\frac{36x-63x+7x}{63} =-\frac{1400}{9} \\ \\ \frac{20x}{63}=\frac{1400}{9}$

By cross multiplication:

$20x\times9=1400\times63\\180x=88200\\$

Dividing both sides by 180

$x=490$

Therefore, total $490, she had at first.

3 0

3 years ago

what is the area of a circle with radius of 7cm using 3.14 for pi and round to he nearest tenth plz hurry

Sophie [7]

Answer:153.9 cm

Step-by-step explanation:

The area of a circle is found by pi × radius squared and pi is aprox 3.14 so 3.15×7² = 153.86 then round off to the nearest tenth you get 153.9

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3 years ago

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3. What line forms when a plane and a cylinder intersect?

leonid [27]

The answer to this depends on the angle at which they intersect. If it intersects the cylinder perpendicular to the axis then a circle is formed. If the plane intersects the cylinder at an angle, it will form an ellipse. This will be true until the plan is parallel with the axis of the cylinder. At that point, the surface will become a rectangle.

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2 years ago

What is plane z in this image

denpristay [2]

Answer:

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Step-by-step explanation:

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3 years ago

The bases of a right prism are rhombi with area A = 44 cm2. The height of the prism is h=2.3 dm. Find the volume V of the prism.

Allushta [10]

The volume is 1012 cm³.

The volume of a right prism is found by multiplying the area of the base and the height. First we need to convert the height to centimeters.

1 dm = 10 cm
2.3 dm = 2.3(10) = 23 cm

Now we have 44(23) = 1012 cm³

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3 years ago