All categories

2 years ago

Question 2 (1 point) What is the value of x if AABC is equilateral?

Mathematics

1 answer:

Marina86 [1]2 years ago

3 0

Answer:

x= 2

Step-by-step explanation:

Given that,

AB = 7.5x

BC = 6x+3

AC = 10x-5

ΔABC is an equilateral triangle.For an equilateral triangle, all sides are equal. ATQ,

AC = BC = AB

10x-5 = 6x+3

Taking like terms together

10x-6x = 5+3

4x = 8

x = 2

Hence, the value of x is equal to 2.

You might be interested in

Five out of 10 marbles in a bag are red. What percentage of the marbles are not red?

Jlenok [28]

Answer:

50%

Step-by-step explanation:

Five out of 10 is 50%

8 0

3 years ago

Read 2 more answers

Find the solutions for a triangle with a = 16, c =12, and B = 63º.

maks197457 [2]

Answer:

b. A = 71.6°; C = 45.40°; b =15.0

Step-by-step explanation:

The missing values can be found with the help of the Law of Cosine and properties of triangles:

Side b (Law of Cosine)

$b = \sqrt{a^{2}+c^{2}-2\cdot a \cdot c \cdot \cos B}$

$b = \sqrt{16^{2}+12^{2}-2\cdot (16)\cdot (12) \cdot \cos 63^{\circ}}$

$b \approx 15.022$

Angle A (Law of Cosine)

$\cos A = -\frac{a^{2} - b^{2}-c^{2}}{2\cdot b \cdot c}$

$\cos A = - \frac{16^{2}-15.022^{2}-12^{2}}{2\cdot (15.022)\cdot (12)}$

$\cos A = 0.315$

$A= \cos^{-1} 0.315$

$A \approx 71.639^{\circ}$

Angle C (Sum of internal angles in triangles)

$C = 180^{\circ} - 63^{\circ} - 71.639^{\circ}$

$C = 45.361^{\circ}$

Hence, the right answer is B.

6 0

3 years ago

What is the area of a trapezoid with 5m and bases 8 m and 1 m ?

larisa86 [58]

Answer:

the area is 6.5

Step-by-step explanation:

4 0

2 years ago

Which answer is correct

andre [41]

Hello from MrBillDoesMath!

Answer:

The first choice, Pi + (-Pi) = 0

Discussion:

Pi is an irrational number. Saying the irrational numbers <u>are</u> closed under addition means if we add two irrational numbers we will get another irrational number. In our case, Pi + (-Pi) = 0, which is correct, BUT 0 is a <u>rational </u>number. This shows the set of irrational numbers is NOT closed under addition.

Thank you,

MrB

7 0

3 years ago

What is the intersection of the sets A = {3, 4, 7, 8, 13} and B= {3, 7, 10, 13, 17}

Gelneren [198K]

This intersection means that u have to find the same number in both sets

the answer is 3 , 7 , 13

i am a mathematics teacher. if anything to ask please pm me

8 0

2 years ago

Read 2 more answers