All categories

3 years ago

In the diagram, AB = AC. Solve for x. Pls I need help!

Mathematics

1 answer:

Fiesta28 [93]3 years ago

4 0

ANSWER:

x = 11

OR

x = - 5

In triangle ABC displayed in the diagram, the value of ( x ) is 11 or - 5.

STEP-BY-STEP EXPLANATION:

In triangle ABC, AB is equivalent to AC. This means that the triangle is an isosceles triangle as two sides are equivalent in length.

Since triangle ABC is an isoceles triangle, the base angles must be equivalent to each other.

( x^2 - 6x )° and 55° are both base angles of the isosceles triangle ABC.

THEREFORE:

x^2 - 6x = 55

x^2 - 6x - 55 = 0

x^2 - 11x + 5x - 55 = 0

x ( x - 11 ) + 5 ( x - 11 ) = 0

( x - 11 ) ( x + 5 ) = 0

Solution No. 1 -

x - 11 = 0

x = 11

Solution No. 2 -

x + 5 = 0

x = - 5

You might be interested in

A large pizza at palanizo pizzeria costs 6.80$ plus 0.90$ for each topping. The cost of a large cheese pizza at guido’s pizza is

r-ruslan [8.4K]

we are going to create a table in excel and we will assign different values of topping to know when the price is equal in both pizzerias

see the attached figure

the answer is

5 toppings from palanzio’s pizzeria

6 toppings from guido’s pizza

cost palanzio’s pizzeria----> 6.80+0.90*5-----> $11.30

cost guido’s pizza------> 7.40+0.65*6----------> $11.30

5 0

2 years ago

The function g(x) is shown in the graph at right. The function g(x) is a transformation of the parent function f(x)=x^2. Based o

Ivahew [28]

Answer: choice B

Step-by-step explanation:

6 0

1 year ago

Make a number that has a 6 that is 10 times the value of the digit 6 in 165,438 Comparing digits in whole numbers

Ipatiy [6.2K]

Answer:

An example of such number is 1,645,378 ( The value of 6 here is 600,000)

Step-by-step explanation:

Here, we want to compare digits in whole

numbers.

The value of 6 in 165,438 = 60,000

Now, we want a number that is 10 times the value of 6 here

10 times the value of 6 here will be 10 * 60,000 = 600,000

So we want a number which has the value of 6 in it as 600,000

The number in this case as an example can be ;

1,645,378

3 0

3 years ago

If in a game of glass stepping stones. there are 18 tiles of glass. two in each row. one is tempered and will be fine if you jum

Julli [10]

There chance for just getting across each row would be 50% but there chance of getting across completely is 1 in 18

4 0

2 years ago

17. Tiana deposited $500 into an

Ivahew [28]

Answer:

In 50 years the amount will be $ 2000.

Step-by-step explanation:

Tiana deposited $500 into a account at 6 % simple interest per Year .

Therefore, Principal (P) is $500

Amount (Principal + Interest) = $2000

Interest (I) = $2000 - $500 = $1500

Rate percentage (R) = 6% per Year

Let, The time be T years

Now, I = $\frac{P . R . T}{100}$

Or, T = $\frac{100. I }{P . R}$

Or, T = (100×1500 ) ÷ ( 500× 6 )

∴ T = 50 Years

3 0

2 years ago