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3 years ago

Help me!!!!!!!!!!!!!!!!!!!!!

Mathematics

1 answer:

marissa [1.9K]3 years ago

7 0

Answer:

$\frac{7}{3} and \: \frac{8}{3}$

Step-by-step explanation:

so let's start with what we know:

$2 \frac{1}{3} \times 2 \frac{2}{3}$

now to get it into non mixxed numbers:

2*3 = 6

6+1

_____

$\frac{7}{3}$

2*3=6

6+2=8

______

$\frac{8}{3}$

now to cross mutiply them:

7*3

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We have seen that isosceles triangles have two sides of equal length. The angles opposite these sides have the same measure. Use

Naddik [55]

Question has missing figure, the figure is in the attachment.

Answer:

The measure of ∠1 is 65°.

The measure of ∠2 is 65°.

The measure of ∠3 is 50°.

The measure of ∠4 is 115°.

The measure of ∠5 is 65°.

Step-by-step explanation:

Given,

We have an isosceles triangle which we can named it as ΔABC.

In which Length of AB is equal to length of BC.

And also m∠B is equal to m∠C.

ext.m∠C= 115°(Here ext. stands for exterior)

We have to find the measure of angles angles 1 through 5.

Solution,

For ∠1.

∠1 and ext.∠C makes straight angle, and we know that the measure of straight angle is 180°.

So, we can frame this in equation form as;

$\angle1+ext.\angle C=180\°$

On putting the values, we get;

$\angle 1+115\°=180\°\\\\\angle1=180\[tex]\therefore m\angle2=65\°$ -115\°=65\°[/tex]

Thus the measure of ∠1 is 65°.

For ∠2.

Since the given triangle is an isosceles triangle.

So, $m\angle1=m\angle2$

Thus the measure of ∠2 is 65°.

For ∠3.

Here ∠1, ∠2 and ∠3 are the three angles of the triangle.

So we use the angle sum property of triangle, which states that;

"The sum of all the angles of a triangle is equal to 180°".

$\therefore \angle1+\angle2+\angle3=180\°$

Now we put the values and get;

$65\°+65\°+\angle3=180\°\\\\130\°+\angle3=180\°\\\\\angle3=180\°-130\°=50\°$

Thus the measure of ∠3 is 50°.

For ∠4.

∠4 and ∠2 makes straight angle, and we know that the measure of straight angle is 180°.

So, we can frame this in equation form as;

$\angle2 +\angle 4 =180\°$

Substituting the values of of angle 2 to find angle 4 we get;

$65\°+ \angle 4 = 180\°\\\\ \angle 4 = 180\°-65\°\\\\\angle 4= 115\°$

Thus the measure of ∠4 is 115°.

For ∠5.

∠4 and ∠5 makes straight angle, and we know that the measure of straight angle is 180°.

So, we can frame this in equation form as;

$\angle4 +\angle 5 =180\°$

Substituting the values of of angle 4 to find angle 5 we get;

$115\°+ \angle 5 = 180\°\\\\ \angle 5 = 180\°-115\°\\\\\angle 5= 65\°$

Thus the measure of ∠5 is 65°.

Hence:

The measure of ∠1 is 65°.

The measure of ∠2 is 65°.

The measure of ∠3 is 50°.

The measure of ∠4 is 115°.

The measure of ∠5 is 65°.

6 0

3 years ago

suppose that a water fountain produces a stream of water that follows the shape of a parabola. assigning the origin of a coordin

Readme [11.4K]

The quadratic regression equation for the stream of water is $y=-0.139x^{2} +1.667x$ {parabola}

Given that the water stream produced by fountain is parabola

Vertex of parabola is (6,5) , parbola is facing downward,axis of symmetry of parabola is x=6 and parabola passes through (0,0)

according to symmetry the third point on the parabola is (12,0)

General equation for a parabola⇒ Y=-4a $X^{2}$

⇒(y-5)=-4a $(x-6)^{2}$ { as the Vertex of parabola is (6,5) }

⇒(y-5)=-4a( $x^{2} +36-12x$ )

subtituting (0,0) in the equation to get the value of a

⇒-5=-4a(36)

⇒ a= $\frac{-5}{144}$

equation of parabola⇒(y-5)=-4( $\frac{5}{144}$ ) $(x-6)^{2}$

Therefore,The quadratic regression equation for the stream of water is $y=-0.139x^{2} +1.667x$

Learn more about parabola here:

brainly.com/question/21685473

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3 0

2 years ago

SOLVE FOR X, EXPLAIN PLEASE URGENT.

devlian [24]

3x-3=27
-3=-3
3x=24
3x/3=24/3
X=8

3 0

3 years ago

Combine the term 3z + ¾ - 2z

Anna71 [15]

The answer is 1/4(4z+3)

7 0

2 years ago

62+7h in word phrase

Nadya [2.5K]

Answer:

sixty-two plus 7 times a number h

Step-by-step explanation:

6 0

3 years ago