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natali 33 [55]
2 years ago
6

Find x ????????????????????????

Mathematics
1 answer:
Virty [35]2 years ago
6 0

Answer:

here

h=x,p=15,b=9

using pythagoras theorem

h^2=p^2+b^2

x^2=15^2+9^2

x^2=225+81

x^2=306

x=3 √34 is the answer

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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
2 years ago
Which expression is equivalent to Negative 6 (negative two-thirds + 2 x)?
ivolga24 [154]

Answer: 4 minus 12 x

Step-by-step explanation:

-6(-\frac{2}{3}+2x)

4 - 12x

4 0
3 years ago
Read 2 more answers
Which of the following are NOT factors of 24?
Pavel [41]

Answer:

5,7

Step-by-step explanation:

3 0
2 years ago
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The sum of a number n and 4 is 10. What is the value of the sum of n and -1?
katrin [286]

Answer:

The value of the sum of n and -1=5

Step-by-step explanation:

Step 1

Get the value of n using the equation below;

The sum of n and 4 is 10 can be expressed in equation form as follows;

n+4=10...equation 1

solving for n;

n=10-4

n=6

The value for n=6

Step 2

Express the sum of n and -1 as follows

n+(-1)=unknown...equation 2

using the value of n solved in equation 1 in equation 2

replace using;

n=6

6+(-1)=6-1=5

The value of the sum of n and -1=5

5 0
3 years ago
A car loses value each year the value of the car (t) years ‏ can be modeled using the function f(t)=15000(0.85) ^t. If Elizabeth
emmainna [20.7K]
F(t)=15000(0.85) ^t   =>  <span>f(t) = $15000(0.85) ^t

Substitute 2 1/3 for t in this equation.  This is equivalent to 7/3.

</span> f(7/3) = $15000(0.85)^(7/3)
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2 years ago
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