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nordsb [41]
4 years ago
7

The triangles are similar, solve for K.​

Mathematics
2 answers:
mars1129 [50]4 years ago
8 0

We have equal ratios

3:6:7 = 4.5:9:k

so a scale factor of 4.5/3 = 9/6 = 3/2

So k = (3/2) 7 = 21/2

Answer: 10.5

quester [9]4 years ago
3 0

Answer:

k=10.5

Step-by-step explanation:

Using proportions of similar triangles, we will take proportion between any two sides of the two similar triangles.

3/4.5=7/k

We cross multiply

3×k=4.5×7

3k=31.5

Dividing both sides by 3

k=10.5

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Someone please help me out I rlly need help
Anit [1.1K]

The equation that could be used to solve for x is (3x-1) = 140 and the value of x is 47°.

According to the question,

We have the following information:

We have two lines that are intersecting each other at a point. The angles made on this point are given.

Now, we know that these two angles are vertically opposite angles. And we also know that vertically opposite angles are equal.

So, we will have the following equation:

3x-1 = 140

Now, we can easily find the value of x from this equation:

Adding 1 on both sides of the equation:

3x = 140+1

3x = 141

Dividing by 3 on both sides:

x = 141/3

x = 47°

Hence, the equation that could be used to solve for x is (3x-1) = 140 and the value of x is 47°.

To know more about equation here

brainly.com/question/18067015

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1 year ago
100 POINTS!!!!!!!!!!!!!!!!!!!!!!!!!!! PLEASE SHOW STEPS TO ALL PARTS
goldfiish [28.3K]

Answer:

Step-by-step explanation:

<u>Part A: the x-intercepts are -3/2 and 5/2 </u>

  • 4x^{2} - 7x - 15 -----> (2x + 3) (2x - 5)

2x + 3 = 0 --------> 2x = -3 ----------> x = \frac{-3}{2}

2x - 5 = 0 ---------> 2x = 5 -----------> x = \frac{5}{2}

<u>Part B: the parabola is a minimum, the vertex is (7/8,-289/16) </u>

f(x)=ax^2+bx+c

if a>0, then the parabola opens up and the vertex is a minimum

a<0 then the parabola opens down and the vertex is a max

  • a = 4, it is a minimum

the x value of  the vertex in f(x)=ax^2+bx+c= is -b/(2a)

the y value of the vertex is f(-b/(2a))  

f(x) = 4x^{2} - 7x - 15

a = 4

b = -7

-b/2a=-(7)/(2*4)=7/8

f(7/8) = 4(7/8)^{2} - 7(7/8) - 15

f(7/8) = 49/16 - 49/8 - 15

f(7/8) = -289/16

  • the vertex is (7/8,-289/16)

<u>Part C: </u>

  1. the vertex is minimum and the graph goes through the x intercepts
  2. plug in x values to get the y value (EX: choose 0 for x, and you'll get -15 for y, so you would plot the point at (0, -15). you could plug in 1 for x, and get -18 for y, plotting the point (1, -18) )

8 0
3 years ago
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A scuba diver descends farther down into the ocean from an initial depth of 14.7 feet below sea level. The scuba diver descends
uranmaximum [27]

The maximum rate, r, that the scuba diver may descend is r≤ 11.2

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If the scuba diver reaches a depth no more than 65.1 feet below sea level, then;

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Hence the maximum rate, r, that the scuba diver may descend is r≤ 11.2

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Answer:

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Step-by-step explanation:

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A = 6*5/2

A = 30/2

A = 15

Best of Luck!

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In-s [12.5K]

Answer:

B) 55°

Step-by-step explanation:

55+70=125

180-125=55

or

Isosceles means 2 angles are the same, so it's 55°.

8 0
3 years ago
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