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Step2247 [10]
1 year ago
7

Look at thetriangles diagram. The value of x is ___ °

Mathematics
1 answer:
NemiM [27]1 year ago
4 0

By solving a linear equation we will see that the value of x is 10.

<h3></h3><h3>How to find the value of x?</h3>

Remember that for any triangle, the sum of all internal angles is always equal to 180°.

Here only look at triangle BCD, we know that:

m∠DBC = m∠ABC = 3x

m∠BCD = m∠ACB + m∠ABD = 2x + 65°

m∠ADC = 65°

Now we can write the linear equation as:

3x + 2x + 65° + 65° = 180°

5x + 130° = 180°

5x = 180° - 130°

5x = 50°

x = 50°/5 = 10°

The value of x is 10.

Learn more about triangles:

brainly.com/question/14285697

#SPJ1

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Write the quadratic equation whose roots are 3 and -1, and whose leading coefficient is 5.
Assoli18 [71]

Answer:

5x² - 10x - 15 = 0

Step-by-step explanation:

Given that the roots are x = 3 and x = - 1, then the factors are

(x - 3) and (x + 1) and the quadratic is the product of the factors, that is

f(x) = a(x - 3)(x + 1) ← a is a multiplier

Here a = 5, thus

f(x) = 5(x - 3)(x + 1) ← expand factors using FOIL

     = 5(x² - 2x - 3) ← distribute parenthesis by 5

     = 5x² - 10x - 15

Thus equation is

5x² - 10x - 15 = 0

6 0
3 years ago
A tank can hold a maximum of 400 gallons of water. The volume of water when pumping water into the tank can be determined by the
iVinArrow [24]

Answer:

Step-by-step explanation:

I'm sorry if it's wrong but I believe the answer is 25<m<400

3 0
3 years ago
Read 2 more answers
Write the slope intercept form of the equation of the line through the given point with the given slope
aleksandrvk [35]

Given that,

Point = (-5,3)

Slope, m = -3/5

To find,

The slope intercept form of the equation of the line.

Solution,

The general form of equation is :

y = mx +b

We have, x = -5, y = 3

So,

3=\dfrac{-3}{5}(-5)+b\\\\3=-3+b\\\\b = 6

The equation is :

y=\dfrac{-3}{5}x+6

Hence, the required equation is y=\dfrac{-3}{5}x+6.

5 0
3 years ago
How many one-degree angles are in a 70 degree angle?
SVEN [57.7K]

Answer:

There are 70 one degree angles in a 70 degree angle

Step-by-step explanation:

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3 years ago
2(x+3)^(2)+8=0 Solve.
olga2289 [7]

Answer:

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Step-by-step explanation:

2(x+3)²=-8

(x+3)²=-4

x+3=2i

x=2i-3

7 0
3 years ago
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