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Elanso [62]
3 years ago
12

Determine if the two triangles are congruent and write the conjecture. pls help

Mathematics
1 answer:
viva [34]3 years ago
6 0

Answer:

(see below)

Step-by-step explanation:

First, to make it easier for yourself, "flip" the triangles so that they "match." To see what I'm talking about, refer to IMAGE.A.

Now that you can tell that the congruent side and angles are corresponding, you have to prove them congruent.

There is one side and two angles, so it's AAS or SAA.

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Deane is flying to a destination that is 2745 miles away. The plane's average speed is 450 mph. Write the slope-intercept form o
Dmitriy789 [7]
The equation in y = mx+b form is y = -450x+2745

where,
x = number of hours that have passed by
y = distance to destination in miles

The y intercept is 2745 since this is the initial starting y value, aka the starting distance. Therefore b = 2745.

The slope is -450 or -450/1 since for each hour, the distance goes down by 450. You can think of it as
slope = (change in y)/(change in x)
slope = (change in distance)/(change in time)
slope = (-450 miles)/(1 hour)
slope = -450
8 0
3 years ago
a photograph is printed in the center of a piece of paper measuring 7 cm by (x + 8) cm. The photo measures 5 cm by (x +6) cm . T
Nadusha1986 [10]

The paper is 7 cm by (x + 8) cm.

A photo is 5 cm by (x + 6) cm, and is printed in the middle of the paper.

The area of the border/space around the photo is 50 cm².


To find the area of the border around the photo, you find the area of the paper and subtract it by the area of the photo.


The area of the paper:

A = 7 · (x + 8)


The area of the photo:

A = 5 · (x + 6)


Your equation to find the area of the border around the photo is:

(7 · (x + 8)) - (5 · (x + 6)) = A

[area of paper - area of photo = area of border]


Since you know the area of the border, you can plug it in:

(7 · (x + 8)) - (5 · (x + 6)) = 50


Multiply the 7 into (x + 8), and multiply the 5 into (x + 6)

(7x + 56) - (5x + 30) = 50


Distribute/multiply the - to (5x + 30)

7x + 56 - 5x - 30 = 50


Combine like terms

2x + 26 = 50


Subtract 26 on both sides

2x = 24


Divide 2 on both sides


x = 12

7 0
3 years ago
Choose the correct answer. > < = We can't compare them= fastbridge quiz amath
Verizon [17]

Answer:

\leq or \geq

Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
The difference between two positive integers is 3. If the smaller is added to the square of the larger, the sum is 87.
Komok [63]
Let x be larger integer so x-3 is the smaller
so x^2+ x-3 = 87
x^2 +x -90=0 and factor
(x-9)(x+10)=0
x=9 or x=-10 but x must be positive
so x=9 and smaller number is 6
6 0
3 years ago
the midpoint is AB is M(3,-2). One endpoint is A(7,-9). Find the coordinates of the other endpoint B.
cestrela7 [59]

Answer:

<em>The required points of the given line segment  are ( - 1, - 5 ).</em>

Step-by-step explanation:

Given that the line segment AB whose midpoint M is ( 3, -2 ) and point A is ( 7, - 9), then we have to find point B of the line segment AB -

As we know that-

If a line segment AB is with endpoints ( x_{1}, y_{1} ) and  ( x_{2}, y_{2}  )then the mid points M are-  

<em>M = ( \frac{ x_{1} + x_{2} }{2} , \frac{ y_{1} + y_{2}  }{2}  )</em>

Here,

<em>Let A ( 7, - 9 ), B ( x, y ) with midpoint M ( 3, - 2 ) -</em>

then by the midpoint formula M are-

<em>( 3, - 2 )  = ( \frac{ 7 + x}{2} , \frac{ - 9 + y}{2} )</em>

On comparing x coordinate and y coordinate -

We get,

<em>( \frac{ 7 + x}{2} = 3  , \frac{ - 9 + y}{2}  = - 2)</em>

<em>( 7 + x = 6, - 9 + y = - 4 )</em>

<em>( x = 6 - 7, y = - 4 + 9 )</em>

<em>( x = - 1, y = -5 )</em>

<em>Hence the required points  A are ( - 1, - 5 ).</em>

<em>We can also verify by putting these points into Midpoint formula.</em>

<em />

8 0
3 years ago
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