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german
3 years ago
11

Determine whether the two triangles are similar. HELP ASAP! I AM RUNNING OUT OF POINTS!!

Mathematics
1 answer:
Lemur [1.5K]3 years ago
8 0

Answer:

they are similar

Step-by-step explanation:

this is because of the degree of the angles and the measurements between the edges. The only reason it may not look the same is because it has been rotated and downsized.

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Write an equation of the line that passes through the given points (1 , 1.5) and (2, 3.5)
Nitella [24]

Answer:

y=2x-0.5

Step-by-step explanation:

typically, the equation of the line is written in slope intercept form, which is y=mx+b, where m is the slope and b is the y intercept

first, we need to find the slope (m) of the line

the formula for slope calculated from two points is given as (y2-y1)/(x2-x1)

we have two points: (1,1.5) and (2,3.5) and we can label them

x1=1

y1=1.5

x2=2

y2=3.5

now plug into the formula:

m=(3.5-1.5)/(2-1)

m=2/1

m=2

the slope of the line is 2

here's our equation so far:

y=2x+b

now we need to find b

since the line will pass through the points (1, 1.5) and (2, 3.5), we can plug either one of them into the equation to solve for

Let's use (1, 1.5)

substitute 1.5 as y and 1 as x

1.5=2(1)+b

1.5=2+b

subtract 2 from both sides

-0.5=b

therefore, our equation is:

y=2x-0.5

hope this helps!

5 0
3 years ago
How many solutions does the system have? <br> {2x+2y=8 <br> {3x+y=8 2x+2y=8 ​
umka2103 [35]

Answer:

Step-by-step explanation:

first we put them in y = mx + b form...then we compare the slopes and the y int's. In y = mx + b form, the slope is in the m position and the y int is in the b position.

2x + 2y = 8

2y = -2x + 8

y = -x + 4......slope here is -1 and y int is 4

3x + y = 8

y = -3x + 8.....slope here is -3 and y int is 8

This system has 1 solution <===

================================

learn this...it helps

* if there are different slopes and different y int, then there is 1 solution

* if there are the same slopes and different y int, then there is no solutions because u have parallel lines

* if there are same slopes and same y int, there is infinite solutions because u have the same line

4 0
3 years ago
Read 2 more answers
A collection of dimes and quarters has a total value of five dollars and contains 29 coins. How much of each kind of coin are th
hjlf
A quarter and a dime are equal to 25 cents and 10 cents, respectively. Let x and be the number of quarter and dime coins. The equations that best expressed the condition are,
                                         x + y = 29
                                   0.25x + 0.10y = 5

The values of x and y are equal to x = 14 and y = 15. Thus, the answer is letter A. 15 dimes and 14 quarters. 
3 0
3 years ago
In the diagram, mFLI is 106°, mFLG = (2x – 1)°, mGLH = (x + 17)°, and mHLI = (4x – 15)°.
Lorico [155]

Step 1

<u>Find the value of x</u>

we know that

m∠FLI=m∠FLG+m∠GLH+m∠HLI ---------> equation 1

In this problem we have

m∠FLI=106°

m∠FLG=(2x-1)°

m∠GLH=(x+17)°

m∠HLI=(4x-15)°

Substitute the values in the equation 1

106=(2x-1)+(x+17)+(4x-15)

Combine like terms

106=(2x+x+4x)+(-1+17-15)

106=(7x)+(1)

7x=105

x=15°

Step 2

<u>Find the value of each angle</u>

Substitute the value of x in each angle

m∠FLG=(2*15-1)=29°

m∠GLH=(15+17)=32°

m∠HLI=(4*15-15)=45°

therefore

<u>the answer is</u>

The smallest angle in the diagram is 29\ degrees

3 0
3 years ago
Read 2 more answers
What is the equation relating x and<br> y together?<br> INTO<br> y= [?]x + []
Ann [662]

This equation represents slope-intercept for; y = mx + b

m = the slope (slope formula; y2-y1/x2-x1)

b = the y-intercept (point on the graph that lies on the y-axis)

Best of Luck!

7 0
3 years ago
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