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Rzqust [24]
3 years ago
12

If the length of FH is 18 units, what is the value of x?

Mathematics
2 answers:
valentinak56 [21]3 years ago
5 0
Well if FG is 4x and GH is 2x the you add them to get 6x for FH. Solve for x so 6x=18 which means x=3. Hope this helps
Shkiper50 [21]3 years ago
5 0

we know that

FH=FG+GH

In this problem we have

FH=18\ units\\FG=4x\\GH=2x

substitute in the formula above

18=4x+2x

solve for x

6x=18

x=18/6

x=3\ units

therefore

<u>the answer is</u>

The value of x is 3\ units


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The triangular pyramid shown is made up of four congruent triangles. The length of the base is 8 inches, and the height of the b
Aneli [31]

Answer:

(B) Talia is correct. The lateral area can be found by approximating one large triangle, which can be found using the expression 4 (one-half (8) (6.9))

Step-by-step explanation:

Base of the Pyramid = 8 Inches

Height of the Triangular Face = 6.9 Inches

In any solid shape, the Lateral surface area is the sum of all sides except its top and bottom bases.

Since the four triangles are congruent:

Lateral Surface Area = 4 X Area of One Triangle

Area of a Triangle = \frac{1}{2}$ X Base X Height

Area of one Triangular Face = \dfrac{1}{2}(8)(6.9)

Therefore:

Lateral Surface Area = 4\left(\dfrac{1}{2}(8)(6.9)\right)

Therefore, Talia is correct.

8 0
3 years ago
7n+2 = 4n+17 solve the equation
lions [1.4K]

Answer:

n = -5

Step-by-step explanation:

Solve for n:

n + 2 = 4 n + 17

Hint: | Move terms with n to the left hand side.

Subtract 4 n from both sides:

(n - 4 n) + 2 = (4 n - 4 n) + 17

Hint: | Combine like terms in n - 4 n.

n - 4 n = -3 n:

-3 n + 2 = (4 n - 4 n) + 17

Hint: | Look for the difference of two identical terms.

4 n - 4 n = 0:

2 - 3 n = 17

Hint: | Isolate terms with n to the left hand side.

Subtract 2 from both sides:

(2 - 2) - 3 n = 17 - 2

Hint: | Look for the difference of two identical terms.

2 - 2 = 0:

-3 n = 17 - 2

Hint: | Evaluate 17 - 2.

17 - 2 = 15:

-3 n = 15

Hint: | Divide both sides by a constant to simplify the equation.

Divide both sides of -3 n = 15 by -3:

(-3 n)/(-3) = 15/(-3)

Hint: | Any nonzero number divided by itself is one.

(-3)/(-3) = 1:

n = 15/(-3)

Hint: | Reduce 15/(-3) to lowest terms. Start by finding the GCD of 15 and -3.

The gcd of 15 and -3 is 3, so 15/(-3) = (3×5)/(3 (-1)) = 3/3×5/(-1) = 5/(-1):

n = 5/(-1)

Hint: | Simplify the sign of 5/(-1).

Multiply numerator and denominator of 5/(-1) by -1:

Answer: n = -5

5 0
2 years ago
Find the value of c that makes the trinomial a perfect square trinomial.<br> m^2-14m+c
Pie

Answer:

49

Step-by-step explanation:

m^2-14m+c

Take the -14

Divide by 2

-14/2 = -7

Square it

(-7)^2 = 49

Add it to each side

m^2-14m+49

The value of c is 49

6 0
3 years ago
What is the greatest common factor of these number 12x^3, 16x^2, 20x?​
Mrac [35]

Answer:

Step-by-step explanation:gsgsbwbw

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7 0
3 years ago
Read 2 more answers
Find 2 common angles that sum to (17pi/12) 2. Evaluate tan(17pi/12) using the sum identity for tangent.
Dmitry [639]
Note that
\frac{17 \pi }{12} = \frac{3 \pi }{12} + \frac{14 \pi }{12} = \frac{ \pi }{4} + \frac{7 \pi }{6}

Note that
x= \frac{ \pi }{4}:\,\, sin(x) =cos(x)= \frac{1}{ \sqrt{2} },\,tan(x)=1\\x= \frac{7 \pi }{6} :\,\,sin(x)=- \frac{1}{2} ,\,\,cos(x)=- \frac{ \sqrt{3} }{2} ,\,\,tan(x)= \frac{1}{ \sqrt{3} }

Use the identity
tan(x+y)= \frac{tan(x)+tan(y)}{1-tan(x)tan(y)}

Therefore
tan( \frac{17 \pi }{12} )= \frac{1+ \frac{1}{ \sqrt{3} } }{1- \frac{1}{ \sqrt{3} } } = \frac{ \sqrt{3}+1 }{ \sqrt{3}-1} =  \frac{( \sqrt{3}+1 )^{2}}{( \sqrt{3}-1 )( \sqrt{3}+1 )}  = \frac{3+1+2 \sqrt{3}}{3-1} =2+ \sqrt{3}

Answer: 2 + √3
8 0
3 years ago
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