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zepelin [54]
3 years ago
6

Find the value of x. The diagram is not drawn to scale.

Mathematics
2 answers:
tresset_1 [31]3 years ago
6 0
X=99 degree is the ans
shtirl [24]3 years ago
4 0
The sum of the angles within a quadrilateral must equal 360 degrees. Supplementary angles (y and 116) must equal 180 degrees. Thus y is equal to 64 degrees.

Add together the interior angles of the quadrilateral -

64 +125 + 72 = 261

360 - 261 = 99
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A toy is shaped as a triangular prism. The toy has a
Anettt [7]

Answer:

\huge\boxed{\sf h = 6.75 \ in.}

Step-by-step explanation:

<u>Given Data:</u>

Base area = A_{B} = 108 in.²

Volume = V  = 729 in.³

<u>Required:</u>

Height = h = ?

<u>Formula:</u>

V=A_{B}h

<u>Solution:</u>

For h, rearranging formula:

\displaystyle h = \frac{V}{A_{B}} \\\\h =\frac{729 \ in.^3}{108 \ in.^2} \\\\h = 6.75 \ in.\\\\\rule[225]{225}{2}

4 0
2 years ago
Triangle DEF has vertices D(0,0), E(7,0), and F(3,7).
Leni [432]

Answer:

(3, 1.7)

Step-by-step explanation:

The point at which the vertices of a triangle meet is known as the orthocenter of the triangle. The orthocenter passes through the vertex of the triangle and is perpendicular to the opposite sides.

Two lines are perpendicular if the product of their slopes is -1.

The slope of the line joining D(0,0), F(3,7) is:

m_1=\frac{7-0}{3-0}=\frac{7}{3}

The slope of the line perpendicular to the line joining D and F is -3/7. The orthocenter is perpendicular to the line joining D and F and passes through vertex E(7, 0). The equation is hence:

y-y_1=m(x-x_1)\\\\y-0=-\frac{3}{7} (x-7)\\\\y=-\frac{3}{7}x+3 \ .\ .\ .\ (1)

The slope of the line joining E(7,0), and F(3,7). is:

m_1=\frac{7-0}{3-7}=-\frac{7}{4}

The slope of the line perpendicular to the line joining E and F is 4/7. The orthocenter is perpendicular to the line joining E and F and passes through vertex D(0, 0). The equation is hence:

y-y_1=m(x-x_1)\\\\y-0=\frac{4}{7} (x-0)\\\\y=\frac{4}{7} x\ .\ .\ .\ (2)

The point of intersection of equation 1 and equation 2 is the orthocenter. Solving equation 1 and 2 simultaneously gives:

x = 3, y = 1.7

4 0
3 years ago
Chapter : EXPONENTS AND POWERS<br> Can anyone give me answer for this please
Aneli [31]

The value of given expression is: 3

<h3>What is exponents and powers?</h3>

Exponent refers to the number of times a number is used in a multiplication. Power can be defined as a number being multiplied by itself a specific number of times.

9*(15)³/45 * 5^{-2}/9

= 3²* 3³*5³/5² * 3² * 3² * 5

= 3^{2+3-4} * 5^{3-3}

= 3*1

=3

Learn more about exponents and power here:

brainly.com/question/15722035

#SPJ1

5 0
2 years ago
A triangle has one angle that is 70 degrees and another that is 75 degrees. What is the third angle value in degrees?
mote1985 [20]

Answer:

35 degrees is the third angle's value.

5 0
2 years ago
Help please thanks in advance
Westkost [7]
A) In Part 1 to part 2 the bus had its farthest distance. At part 2 the bus stayed steady time went by. Part 3 to 4 was decreasing distance. part 4 was constant. Then again at part 5 the distance was increasing

B) 

1 - increasing

2 - constant

3 - decreasing

4 - constant

5 - increasing

C) Non-linear, because the graph has a curve, for it to be linear it must be a straight line.

Hope this Helps :)
8 0
3 years ago
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