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LenaWriter [7]
3 years ago
15

Find the value of the variable that results in congruent triangles for numbers 6 and 8.

Mathematics
1 answer:
mariarad [96]3 years ago
8 0

Answer:

x = 28

Step-by-step explanation:

From the figure attached,

AC ≅ FH [Given]

BC ≅ GH [Given]

AB ≅ FG [Given]

ΔABC ≅ ΔFGH [By SSS property of congruence]

Since, m∠A + m∠B + m∠C = 180°

50° + 69° + m∠C = 180°

119° + m∠C = 180°

m∠C = 180° - 119°

m∠C = 61°

m∠C = m∠H [Since, ΔABC ≅ ΔFGH]

(2x + 5)° = 61°

2x = 61 - 5

2x = 56

x = 28

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A tarp is used to keep the infield of a baseball field from getting wet. The infield is a square. The corners of the square tarp
Dafna11 [192]

Answer:

<h2>a. 2,025 ft</h2><h2>b. 8,100 is a perfect square. </h2>

Step-by-step & explanation:

<em>It is a perfect square because if it wasn't, it wouldn't be equally a whole number when divided by 4 or 2,025 exactly on ALL 4 sides and when finding the root of 8,100 it's a perfect 90.  As you should already know a perfect square has a given 90 degree angle.</em>

Tarp = 8,100 sq ft.

- anchored corners at the base.

- Square infield.

Well if there's 4 bases, divide 8,100 by 4.

8,100 / 4 = 2,025

One base to another base is 2,025 ft.

8 0
3 years ago
Write the equation of the line, in point-slope form. Identify the point (-2, -2) as (x1, y1). Use the box provided or the upload
zimovet [89]

Answer:

  • m = (2-(-2))/(2-(-2)) = 4/4 = 1
  • y +2 = 1(x +2)

Step-by-step explanation:

The point-slope form of the equation for a line with slope m through point (x1, y1) is ...

  y -y1 = m(x -x1)

To find the slope of the line, find the ratio of the difference in y-values of the points to the difference in corresponding x-values. Here, the slope is ...

  m = (2 -(-2))/(2 -(-2)) = 4/4 = 1 . . . work to compute slope

The problem statement tells you x1 = -2, y1 = -2. Putting the numbers in to the point-slope form gives ...

  y -(-2) = 1(x -(-2))

  y + 2 = x + 2 . . . equation form with m, (x1, y1) filled in

__

The answer at the top leaves the slope shown as 1. We don't know how much simplification you are expected to do. Obviously, this <em>could</em> be simplified to y=x, but then the use of (-2, -2) for the point would not be obvious.

8 0
3 years ago
How to solve this problem
Shkiper50 [21]
You have to ask the question with the right type of something.
6 0
3 years ago
AYUDA CON ESTO!!! ALGUIEN PORFAVOR
Gre4nikov [31]

Answer:

Problem 1)  frequency:  160 heartbeats per minute, period= 0.00625 minutes (or 0.375 seconds)

Problem 2) Runner B has the smallest period

Problem 3) The sound propagates faster via a solid than via air, then the sound of the train will arrive faster via the rails.

Step-by-step explanation:

The frequency of the football player is 160 heartbeats per minute.

The period is (using the equation you showed above):

Period = \frac{1}{frequency} = \frac{1}{160} \,minutes= 0.00625\,\,minutes = 0.375\,\,seconds

second problem:

Runner A does 200 loops in 60 minutes so his frequency is:

\frac{200}{60} = \frac{10}{3} \approx  3.33   loops per minute

then the period is: 0.3 minutes (does one loop in 0.3 minutes)

the other runner does 200 loops in 65 minutes, so his frequency is:

\frac{200}{65} = \frac{40}{13} \approx  3.08   loops per minute

then the period is:

\frac{13}{40} =0.325\,\,\,minutes

Therefore runner B has the smaller period

8 0
3 years ago
How much should you invest now at 7 1/4% simple annual interest in order to earn $190 interest in 4 months?
vlabodo [156]

Answer:

so principal amount is $7862.07

Step-by-step explanation:

Given data

rate = 7*1/4 % = 29/4 %

interest = $190

time = 4 months = 4/12 year

to find out

principal

solution

we know the simple interest formula  i.e.

interest = ( principal × rate  × time ) /100             ..................1

now put all value rate time and interest in equation 1 we get interest here

interest = ( principal × rate  × time ) /100  

190 =  ( principal × 29/4  × 4/12 ) /100  

principal = 190 × 12  ×100 /   29

principal = 7862.068966

so principal amount is $7862.07

8 0
3 years ago
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