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Harlamova29_29 [7]
3 years ago
8

How many solutions exist for the given equation?

Mathematics
1 answer:
zmey [24]3 years ago
8 0
<h3> Answer </h3>

x = 2

<h3>Step by step</h3>

1/2(x + 12) = 4x - 1

1/2x + 12/2 = 4x - 1

1/2x + 6 = 4x - 1

1/2x - 4x = -1 - 6

1/2x - 8/2x = -7

-7/2x = -7

x = -14/-7

x = 2

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Triangle ABC is an isosceles triangle. Angles B and C are base angles, with measurements of (11x −10)° and (7x + 10)°, respectiv
Ulleksa [173]

Answer:

m∠A = 90°

Step-by-step explanation:

In isosceles triangle base angles are congruent. That means we can equate measurments of angle B and angle C and solve for x!

m∠B = m∠C

11x - 10 = 7x + 10

4x - 10 = 10

4x = 20

x = 5

Now let's insert x back in the expressions for angles.

m∠B = (11x − 10)° = (11(5) − 10)° = 45°

m∠C = (7x + 10)° = (7(5) + 10)° = 45°

<u>Sum of all angles in the triangle is 180°.</u> Let's make an equation.

m∠A + m∠B + m∠C = 180°

m∠A + 45°+ 45° = 180°

m∠A  = 90°

7 0
2 years ago
13. Simplify the following: ​
strojnjashka [21]

Answer:

x^8

Step-by-step explanation:

x^3 x x^5

=x3*x5

=(x*x*x) * (x*x*x*x*x)

=x*x*x*x*x*x*x*x

=x8

3 0
3 years ago
4. The value of a car depreciates by 24% per year. Work out the current value of a car bought 3 years ago for £20000.​
Cloud [144]
8779.52


Mark brainliest please


Hope this helps you
3 0
3 years ago
Evalúate. (n-1)! , where n=4
tatuchka [14]

Answer:

6

Step-by-step explanation:

n ! = n(n - 1)(n - 2)..... × 3 × 2 × 1

Given

(n - 1) ! with n = 4, then

(4 - 1) !

= 3 ! = 3 × 2 × 1 = 6

3 0
3 years ago
Calculate the area of a circle with a diameter of 8.2 inches. show or explain your reasoning.
Troyanec [42]

Answer:

Area = 52.81 square inches

Step-by-step explanation:

Diameter = 8.2in\\\\Radius = \frac{diameter}{2}=\frac{8.2}{2}=4.1in\\\\Area \ of \ a \ circle = \pi r^2  = \pi \times 4.1^2 = 52.81 in^2

3 0
3 years ago
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