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faltersainse [42]
3 years ago
13

Use the proportion of the triangle enlargement to find the missing measure of the enlarged triangle. 1:Set up the proportion: 9/

6 = x/16 2: use cross product: 9(16)=6x 3: Simplify: 144= ____4: Divide: ___=x
Mathematics
2 answers:
Archy [21]3 years ago
8 0

Answer:

<h2>x = 24</h2>

Step-by-step explanation:

The given proportion is

\frac{9}{6}=\frac{x}{16}

Then, we solve for x. First, we need to use cross product

\frac{9}{6}=\frac{x}{16}\\9(16)=x(6)\\144=6x

Then, we isolate x and simplify

6x=144\\x=\frac{144}{6}\\ x=24

Therefore, the answer to this proportion is 24.

ZanzabumX [31]3 years ago
5 0

The value of x = 24

Step-by-step explanation:

The proportion is set as ;

\frac{9}{6} =\frac{x}{16}

Applying cross product

9*16=6*x

144=6x --------simplify by dividing by 6 both sides

144/6 = 6x/6

24=x

Learn More

Proportion in Enlargement : brainly.com/question/9930004

Keywords : proportion, enlargement ,triangles, cross products

#LearnwithBrainly

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Quadrilateral PQRS with diagonals PR and SQ that intersect at point T
larisa [96]

Answer:

A. segment PS ≅ segment QR

Step-by-step explanation:

Given that the quadrilateral PQRS is a rectangle then;

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  • Point of intersection of diagonals is T
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Using Slopes of Parallel Lines Quick Check
Semenov [28]

Answer:

The answer is (B) ⇒ Yes. AB is parallel to CD and AD is parallel to BC

Step-by-step explanation:

<em>There is an important fact about the parallel lines: </em>

  • Parallel lines have equal slopes

<em>The rule of the slope of a line is:</em>

  • m=\frac{y_{2}-y_{1} }{x_{2}-x_{1}}, where (x_{1},y_{1}) and (x_{2},y_{2}) are two points on the line

<em>Let us use the fact and the rule to solve the question</em>

∵ ABCD is a quadrilateral

∵ A = (0, 2) , B = (2, 6), C = (9, 6), D = (7, 2)

∵ The opposite sides are AB, CD and AD, BC

Find the slopes of the four sides to check the parallel sides

∵ m_{AB}=\frac{6-2}{2-0}=\frac{4}{2}=2

∵ m_{CD}=\frac{2-6}{7-9}=\frac{-4}{-2}=2

∵ The slope of AB = The slope of CD

∴ AB // CD

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∵ m_{BC}=\frac{6-6}{9-2}=\frac{0}{7}=0

∵ The slope of AB = The slope of CD

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The correct answer is:

Yes. AB is parallel to CD and AD is parallel to BC ⇒ (B)

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3 years ago
PLEASE help! Quickly please. I'll give as many points as I can!
nignag [31]

Answer:

x=55

a=11.47

Step-by-step explanation:

To find x we add all the angles in the triangle.  The three angles in a triangle add to 180 degrees

35+x+90 = 180

Combine like terms

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Subtract 125 from each side

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To find a

sin 35 = opposite side/ hypotenuse

sin 35 =a/20

Multiply each side by 20

20sin35 =a

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