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Soloha48 [4]
3 years ago
12

I need help on this ! Asap

Mathematics
1 answer:
Gnoma [55]3 years ago
8 0

Answer:

1. Given

2, Exterior sides on opposite rays

3. Definition of supplementary angles

4. If lines are ||, corresponding angles are equal

5. Substitution

Step-by-step explanation:

For the first one, it is given as shown in the problem. Also in the figure you can see that line s is parallel to line t.

2. ∠5 and ∠7 are adjacent, they share a common side. Their non-common side are rays that go in a direction opposite of each other. Also you can see that they form a straight line, which means that they are supplementary.

3. Supplementary angles simply put are angles that sum up to 180°. You know this for sure because of proof 2, specifically the part that they form a straight line. The measure of a straight line is 180°.

4. Corresponding angles are congruent. These are angles that have the same relative position when a line is intersected by parallel lines. You have other example in the figure like ∠2 and ∠6; ∠3 and ∠7.

5. This is substitution because ∠1 substituted ∠5 in this case. Since ∠1 is equal to ∠5, then it can substitute it in the equation given in step 3. This means that ∠1 and ∠7 are supplementary as well.

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How do I solve questions 1,2 and 6?
Talja [164]

Answer:

<h2>1. P = 13.254</h2><h2>2. P = 6.64 + 2x</h2><h2>6. P = 10</h2>

Step-by-step explanation:

1.\\\text{The length of semicircle:}\\\\l=\dfrac{1}{2}d\pi\\\\d-diameter\\\\d=2.2\\\\\text{substitute:}\\\\l=\dfrac{1}{2}(2.2)\pi=1.1\pi\approx(1.1)(3.14)=3.454\\\\\text{The perimeter of the figure:}\\\\P=2(3.8)+2.2+3.454=13.254

2.\\P=2(3.32)+2x=6.64+2x

6.\\\text{Look at the picture.}\\\\P=4(2)+2(1)=8+2=10

7 0
3 years ago
Write the equation of the line containing each pair of points
Alja [10]
Can you please take a picture of each pair of points
4 0
3 years ago
Please help me with this question please clarify what you're saying thank you
timurjin [86]
The question is asking for the circumference
The equation for circumference is C=2(Pi)r<span>

</span>to find the radius, half the diameter 4/2=2

the equation is now C=2(Pi)2<span>
simplify the equation...
C=4(Pi)
Pi is </span>3.1415926535897932384626433832795

Now multiply 3.1415926535897932384626433832795 times 4 = 12.566370614359172953850573533118
Round to nearest tenth...

12.6 mi
3 0
3 years ago
1) After a dilation, (-60, 15) is the image of (-12, 3). What are the coordinates of the image of (-2,-7) after the same dilatio
BARSIC [14]

Answer:

a) k = 5; (-10, -35)

Step-by-step explanation:

Given:

Co-ordinates:

Pre-Image = (-12,3)

After dilation

Image = (-60,15)

The dilation about the origin can be given as :

Pre-Image(x,y)\rightarrow Image(kx,ky)

where k represents the scalar factor.

We can find value of k for the given co-ordinates by finding the ratio of x or y co-ordinates of the image and pre-image.

k=\frac{Image}{Pre-Image}

For the given co-ordinates.

Pre-Image = (-12,3)

Image = (-60,15)

The value of k=\frac{-60}{-12}=5

or k=\frac{15}{3}=5

As we get k=5 for both ratios i.e of x and  y co-ordinates, so we can say the image has been dilated by a factor of 5 about the origin.

To find the image of (-2,-7), after same dilation, we will multiply the co-ordinates with the scalar factor.

Pre-Image(-2,-7)\rightarrow Image((-2\times5),(-7\times 5))

Pre-Image(-2,-7)\rightarrow Image(-10,-35) (Answer)

7 0
2 years ago
X/6 = 15/18<br><br> I NEED ASAP!!!
nadya68 [22]

X/6 = 15/18

Cross multiply:


18x = 15 times 6

18x = 90

Divide both sides by 18

X = 5


5/6 = 15/18

4 0
2 years ago
Read 2 more answers
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