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Nuetrik [128]
3 years ago
11

Find x if m ∠ GHI = 173°, m ∠ GHQ = 29 + x, and m ∠ QHI = x + 162.

Mathematics
1 answer:
Kamila [148]3 years ago
8 0

Answer:

<h3>-9</h3>

Step-by-step explanation:

Given the following angles;

m ∠ GHI = 173°

m ∠ GHQ = 29 + x

m ∠ QHI = x + 162

The following expression is true for the three angles;

m ∠ GHI = m ∠ GHQ+ m ∠ QHI

substitute the given values into the formula and calculate x

173 = 29+x+x+162

173 = 29+162+2x

173 = 191+2x

2x = 173 - 191

2x = -18

x = -18/2

x = -9

Hence the value of x is -9

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3 years ago
Calculate the volume and total surface area​
nikdorinn [45]

Answer:

Below.

Step-by-step explanation:

a. Volume =  area of triangular side * length

1/2 * 3 * 4 * 8

= 48 cm^3.

Surface area =  2 * area of the triangle + area of sloping side+ area of the base + area of the back side

= 2 * 1/2 * 3*4 + 5*8 + 3*8 + 4*8

=  12 + 40 + 24 + 32

= 108 cm^2.

b.  Volume = area of the triangular side * length

= 1/2 * 5.0 * 5..0 * 8.2

= 12.5 * 8.2

= 102.5. cm^3.

Surface area = 2 * area of the triangle + 2 * area of a sloping side + area of the basee

=  2 * 1/2 * 5^2 + 2 * 5 * 8.2 +  8.2 * 7.1

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= 165.22 cm^2.

6 0
3 years ago
How do I do this again ?
AVprozaik [17]

The formula for the area of a trapezoid is a=1/2(b1+b2)h

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7 0
4 years ago
A rectangular prism shaped fish tank is 14 in tall the perimeter of the base is 96 in the length of the base is 3 times the widt
Alla [95]

Using the given information find the length and width of the base:

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Replace L in the first equation:

Perimeter = 2(3W) + 2w

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Simplify:

96 = 6W +2W

96 = 8w

Divide both sides by 8:

w = 96 / 8

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5 0
3 years ago
Given the following system of equations:
kompoz [17]

Answer:

(D) Divide the first equation, -4x + 8y = 16 , by 2.

Step-by-step explanation:

Given:

-4x + 8y = 16 \ \ \ \ equation \ 1

2x + 4y = 8 \ \ \ \ equation \ 2

We need to find the operation performed on equation so as to get resultant equation as:

-2x + 4y = 8

2x + 4y = 8

From Above we can see that there is no change in equation 2 with respect to resultant equation.

Also Resultant equation is simplified form of equation 1.

Simplifying equation 1 we get;

-4x + 8y = 16

We can see that 2 is the common multiple on both side.

Hence we will divide equation 1 with 2 we get

\frac{-4x}{2}+\frac{8y}{2}=\frac{16}{2}\\\\-2x+4y=8

which is the resultant equation.

Hence (D) Divide the first equation, -4x + 8y = 16 , by 2 is the correct option.

3 0
3 years ago
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