Anyone know the answer!!! Help

M∠a=(48−x)°m∠b=(9x−38)°m∠c=90°

Fudgin [204]

Answer:

Option C:

m∠a = 38°
m∠b = 52°

m∠c = 90°

Step-by-step explanation:

Hello!

The sum of all angles in a triangle is 180°.

Add up all the angles and solve for x by setting the equation to 180°.

<h3>Solve for x</h3>

∠a + ∠b + ∠c = 180°
(48 - x)° + (9x - 38)° + 90° = 180°
10° + 8x + 90° = 180°
8x = 180° - 90° - 10°
8x = 80°
x = 10°

Now that we solved for x, we can plug it back into each equation to solve for each angle.

<h3>Angle A</h3>

48° - x
48° - 10°
38°

<h3>Angle B</h3>

9x - 38°
9(10°) - 38°
90° - 38°
52°

<h3>Angle C</h3>

90°

The answer is Option C:

m∠a = 38°
m∠b = 52°

m∠c = 90°

4 0

1 year ago

Serggg [28]

Answer:

value of sides YZ is 36 cm

Step-by-step explanation:

Similar triangles states that the length of the corresponding sides are in proportion.

Given that: ΔABC is similar to ΔXYZ

then;

Corresponding sides are in proportion i.e

$\frac{AB}{XY}=\frac{BC}{YZ}=\frac{AC}{XZ}$ .....[1]

As per the statement:

side AB = 6 cm, side BC =18 cm and side XY = 12 cm.

Substitute these in [1] to solve for side YZ;

$\frac{6}{12}= \frac{18}{YZ}$

or

$\frac{1}{2} = \frac{18}{YZ}$

By cross multiply we have;

$YZ = 36$ cm

Therefore, the value of sides YZ is 36 cm

4 0

2 years ago

Read 2 more answers

15c² - 5c. Factorise completely

KATRIN_1 [288]

Looking at the problem, what we must do to complete this question is to completely factor the expression that was provided. The expression that was provided is $15c^2 - 5c$ .

The first step that we must do is to take a look at the expression and see what the two pieces of the expression have in common. We can see that both $15c^2$ and $-5c$ have the number 5 and the variable c associated with them so we can factor out those two.