All categories

2 years ago

9. AC ATis an isosceles triangle with base angles Cand Teach represented by (3 x +11)

Mathematics

1 answer:

rjkz [21]2 years ago

4 0

Answer:

41°

Step-by-step explanation:

A triangle is a shape with three angles and three sides. There are different types of triangles such as equilateral triangle, scalene triangle, isosceles triangle, right angled triangle and so on.

An isosceles triangle is a triangle in which two sides and two angles are equal to each other.

In triangle CAT, ∠C = ∠T (base angles of an isosceles triangle are equal):

∠A + ∠C + ∠T = 180° (sum of angles in a triangle).

Hence substituting gives::

(9x + 8) + (3x + 11) + (3x + 11) = 180

9x + 3x + 3x + 8 + 11 + 11 = 180

15x + 30 = 180

15x = 180 - 30

15x = 150

x = 150 / 15

x = 10°

Hence ∠A = 9x + 8 = 9(10) + 8 = 98°, ∠C = ∠T = 3x + 11 = 3(10) + 11 = 30 + 11 = 41°

You might be interested in

The table shows some values of f(x) and g(x) for different values of x: x f(x) = 15x − 12 g(x) = 3x −2 0.11 −1 −27 0.33 0 −12 1

Serhud [2]

Answer:

X=1 or C

I hope this helps:)

8 0

2 years ago

the sum of two numbers is 44. the smaller number is five-sixths of the larger number. what are the numbers?

Sindrei [870]

X+y=44
x=5/6y

x+y=44
5/6y+y=44
11/6y=44
11y=264
y=24
x=5/6y=(5/6)*24=20
Answers: numbers are 20, 24

7 0

2 years ago

The number of oranges purchased varies directly as the price of the oranges. If 11 oranges cost $2.35, what is the cost of 18 or

lara31 [8.8K]

Answer:

If 11 oranges cost $2.35, then the cost of 18 oranges is $3.84.

Step-by-step explanation:

We have,

The number of oranges purchased varies directly as the price of the oranges.

If the cost of 11 oranges is $2.35.

It is required to find the cost of 18 oranges.

As their is direct relation between number and oranges and price.

So,

The cost of 1 orange is $ $\dfrac{2.35}{11}$ .

For finding the cost of 18 oranges, multiply 18 by $ $\dfrac{2.35}{11}$ such that,

$C=18\times \dfrac{2.35}{11}\\\\C=3.84$

So, If 11 oranges cost $2.35, then the cost of 18 oranges is $3.84.

4 0

2 years ago

Solid shape is made 4 cubes. What is the front elevation

Liono4ka [1.6K]

The easiest method to draw elevations to the same scale as your floor plans to make the process a bit easier.Tape your main floor plan drawing to the surface of your work table with the front side house facing towards you

6 0

3 years ago

At noon, ship A is 130 km west of ship B. Ship A is sailing east at 25 km/h and ship B is sailing north at 20 km/h. How fast is

Hitman42 [59]

Answer:

answer = 12.87 km/h

Step-by-step explanation:

Given

Ship A is sailing east at 25 km/h = $\frac{dx}{dt}$