All categories

3 years ago

Please help me with this triangle problem!

Mathematics

1 answer:

Westkost [7]3 years ago

3 0

Answer:

Answer is given below with explanations.

Step-by-step explanation:

By using the results of the similarity theorem

we say that

${y}^{2} = 4 \times 12 \\ {y}^{2}= 48 \\ {y} = \sqrt{48} \\ y = 4 \sqrt{3}$

HAVE A NICE DAY!

THANKS FOR GIVING ME THE OPPORTUNITY TO ANSWER YOUR QUESTION.

You might be interested in

And here is the other one.

LUCKY_DIMON [66]

Since BD bisects angle ABC, that means angle ABD and angle CBD are equal to each other. With that set up the equation to solve for x like this:

-4x+33 = 2x+81
-2x -2x
————————
-6x +33 = 81
-33 -33
————————
-6x = 48
————- (divide by -6)
-6

x = -8

Now substitute that to ABD
-4(-8) +33
32 +33
=65

here’s CBD
2(-8) + 81
-16 + 81
=65

Finally angle ABC will be double the amount of ABD or CBD so 65 times 2 is 130.

ANSWERS: (angles)
ABD and CBD: 65
ABC: 130

3 0

3 years ago

-v + 5 + 6v = 1 + 5v + 3

Vedmedyk [2.9K]

Combine your like terms: 5v + 5 = 5v +4
subtract the 5v and 4 from each side: 0 = 1

because 0 $\neq$ 1, there is no solution

8 0

3 years ago

Read 2 more answers

In ABC, A = 4x, B = 3x + 1, C = 7x + 11. List the sides of ABC in order from shortest to longest.

BlackZzzverrR [31]

Sum of all angles of a triangle is equal to 180°. Therefore,

A + B + C = 180

Given that, A = 4x, B = 3x + 1, C = 7x + 11.

Hence, we can set up an equation as following:

4x + 3x + 1 + 7x + 11 = 180

14x + 12 = 180 Combine the like terms.

14x + 12 -12 = 180 - 12 Subtract 12 from each sides.

14x = 168

$\frac{14x}{14} =\frac{168}{14}$ Divide each sides by 14.

So, x= 12.

Now by plug in x=12 in the given expressions of A, B and C we can get the measure of eah angles of the triangle. Therefore,

A = 4x = 4(12) = 48

B= 3x + 1= 3(12) + 1 = 36 + 1 = 37

C= 7x + 11 = 7(12) + 11 = 84 + 11 =95

From the above result we can see that C is the largest angle and B is the smallest angle.

There is a relationship of a triangle which state that the largest side is opposite side of the largest angle and similarly smallest side is opposite side of the smallest angle.

Here AB is the opposite side of the largest angle C. So, AB is the largest side.

Similarly AC is the smallest side.

So, the order from shortest to longest is B: AC, BC, AB

7 0

3 years ago

Factor the quadratic by checking factor pairs. 6x2 + 7x + 1 6x2 + 7x + 1 =

Sati [7]

Answer:

U cannot use factorisation method to solve this, we are to use formula method

Step-by-step explanation:

6x²+7x=1