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3 years ago

Find the value of x in the isosceles triangle shown below.

Mathematics

2 answers:

dybincka [34]3 years ago

8 0

Answer:

x=8

Step-by-step explanation:

This isosceles triangle is composed of two right triangles with sides 8, $\sqrt{80}$ , and y

As we have two sides of a right triangle, we can find the third using the Pythagorean Theorem

$(\sqrt{80} )^2=8^2+y^2\\\\80=64+y^2\\\\y^2=16\\\\y=4$

As this is an isosceles triangle, these two right triangles are equal, this means that x=2y

Therefore, x=2(4)=8

nignag [31]3 years ago

6 0

Answer:

x=8

Step-by-step explanation:

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15 points!!

saw5 [17]

Answer:

If the hypotenuse and one leg of a right triangle are congruent to the hypotenuse and one leg of another right triangle, then the triangles are congruent.

Step-by-step explanation:

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3 years ago

Rewrite the equation in Ax+By=C form. Use integers for A, B, and C. y-3=6(x-5)

Mama L [17]

Answer:

y-6x=-27

Step-by-step explanation:

simplify with distributive property

y-3=6x-30

add 3 to both sides

y=6x-27

take away 6x from both sides

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3 years ago

The table below shows all of the possible outcomes for rolling two six sided number cubes what is the probability of rolling an

Vanyuwa [196]

Answer:

The probability of rolling an even number first and an odd number second is $\frac{1}{4}$

Solution:

As two cubes are 6 sided, the total number of possibilities are $(6\times6) = 36$

Now in those possibilities the first number will be even and the second number will be odd. If we check the table, such pairs are,

(2,1), (2,3), (2,5), (4,1), (4,3), (4,5), (6,1), (6,3), (6,5)

So, we can see we have total 9 set with the combination of first number even and second number odd. So, the probability of rolling with this combination will be $\bold\frac{9}{36}=\frac{1}{4}\bold$

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3 years ago

carly bought a new house for $125,000. the value of the house appreciates approximately 3.5% each year. what will be the value o

larisa [96]

We have to determine the value of a house after 10 years. We know that the present value of the house is $125,000 and that the value increases 3.5% each year. Formula is: FV = PV * ( 1 + r )^t, where FV is the future value, PV is the present value, r = 3.5% = 0.035 and t = 10 years. FV = 125,000 *( 1.035 )^10 = 125,000 * 1.4105; FV = $176,324.85 ( $ 176,325 to the nearest dollar ). Answer: The value of the house after 10 years will be $176,325.

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3 years ago

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Find the domain and range of the relation and determine whether it is a function.

Sergio [31]

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3 years ago

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