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brilliants [131]
3 years ago
11

triangle DEF is a dilation of triangle ABC with scale factor 2. In triangle ABC, the largest angle measures 82°. What is the lar

gest angle measure in triangle DEF
Mathematics
1 answer:
Akimi4 [234]3 years ago
4 0

Answer:

The largest angle measure in triangle DEF = 82°  

Explanation:

A dilation is a transformation that produces an image that is the same shape as the original, but is a different size.

So, the shape of the triangles ABC and DEF are the same.

Sine the shape is similar the angle of the dilated triangle and considered triangle are the same.

The largest angle measure in triangle DEF = The largest angle measure in triangle ABC

  The largest angle measure in triangle DEF = 82°      

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Add the two expressions.<br> 32 – 4 and 2z + 5<br><br><br> Pls help quick!
alexgriva [62]

Answer:

2z + 33

Step-by-step explanation:

Add like terms like below:

(32 - 4) + (2z + 5) = 28 + 2z + 5

Combine like terms again:

(28 + 5) + 2z = 33 + 2z or 2z + 33

7 0
3 years ago
Solve the system of equations.<br><br> y=3x<br> y=x^2-10
puteri [66]

Answer:

y=3x.........1

y=x^2-10.......2

substituting value of eq 1 to 2

3x=x^2-10

x^2-10-3x=0

x^2-3x-10=0

x^2-5x+2x-10=0

X(x-5)+2(x-5)=0

(x-5)(X+2)=0

then

X=5 or X=-2

again

y=??

when X=5

y=3×5=15

when X=-2

y=-6

5 0
3 years ago
Read 2 more answers
Area. Please help. I don’t understand the question.
photoshop1234 [79]

Answer:

Step-by-step explanation:

8 0
3 years ago
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a pot of water starts at 68 degrees it is put on stove where it heats at a rate of 4 degrees per minute how long will it take to
Vladimir79 [104]
Y=68+4x
100=68+4x
-68=-68
32=4x
Divide both sides by 4 
x=it will take 8 min. for the water to reach 100 degrees
y=total degrees 
x=#  of minutes
4 0
3 years ago
Write an equation of the perpendicular bisector of the line segment whose endpoints are (−1,1) and (7,−5)
icang [17]

The equation is y = \frac{3}{2} x - \frac{11}{2}

<u>Explanation:</u>

We have to first find the mid-point of the segment, the formula for which is

(\frac{x_1+x_2}{2} , \frac{y_1+y_2}{2} )

So, the midpoint will be (\frac{-1+7}{2} , \frac{1-5}{2} )\\\\

                                  = (3,-2)

It is the point at which the segment will be bisected.

Since we are finding a perpendicular bisector, we must determine what slope is perpendicular to that of the existing segment. To determine the segment's slope, we use the slope formula \frac{y_2-y_1}{x_2-x_1}

The slope is \frac{-5-1}{7+1} = -\frac{2}{3}

Perpendicular lines have opposite and reciprocal slopes. The opposite reciprocal of  -\frac{2}{3} is \frac{3}{2}

To write an equation, substitute the values in y = mx + c

WHere,

y = -1

x = 3

m = 3/2

Solving for c:

-1 = \frac{3}{2} X 3 + c\\\\-1 = \frac{9}{2}+c\\ \\c = \frac{-2-9}{2} \\\\c = \frac{-11}{2}

Thus, the equation becomes:

y = \frac{3}{2} x - \frac{11}{2}

7 0
3 years ago
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