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4 years ago

Find the arc that is congruent to arc BF

Mathematics

1 answer:

GenaCL600 [577]4 years ago

7 0

Check the picture below.

notice that the point A is the center of the circle, and thus the ∡BAF is a central angle, and the arc BF gets its angle measurement from ∡BAF, in red.

now, notice, ∡BAF has a twin vertical angle, namely ∡CAE in green, and the arc made by ∡CAE is congruent to BF.

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Pls help! will give brainliest

frozen [14]

1= 4
2= I THINK c+3
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8 0

3 years ago

The cost of renting a landscaping tractor is a $100 base fee plus the hourly rate.

agasfer [191]

Answer:

a. f(h) = 100 + mh and g(h) = 100 + 2mh

b. The slope of g(h) is double of slope of f(h).

c. f(x) = 100 + mx.

Step-by-step explanation:

The cost of renting a landscaping tractor is a $100 base fee plus the hourly rate.

a. If the hourly rate is $m per hour, then the function f(h) represents the cost of renting the tractor for h hours, then

f(h) = 100 + mh .......... (1)

If the hourly rate is doubled i.e. 2m, then the function g(h) represents the cost of renting the tractor for h hours, then

g(h) = 100 + 2mh ........... (2)

b. If we graph the function f(h) then the slope of the equation will be m and the y-intercept will be 100.

If we graph the function g(h) then the slope of the equation will be 2m and the y-intercept will be 100.

Therefore, in the case of g(h), the slope will be double the slope of f(h).

c. If the tractor is rented for x hours, then the function f(h) will be

f(x) = 100 + mx. (Answer)

7 0

4 years ago

Given the following similar triangles, find x.

Vsevolod [243]

I’ll help if u attach the pic of the question:)

3 0

3 years ago

Read 2 more answers

Hiiiooo! Can someone please help❤️

ICE Princess25 [194]

Answer: it is either A or B im leaning more to B..im so sorry if im worng.

Step-by-step explanation:

Have a good day! :) ^-^ ❤️

5 0

3 years ago

Which additional fact proves that ΔRST and ΔWXY are congruent if ∠R ≅ ∠W and RS ≅ WX.

lions [1.4K]

Answer:

C) $\angle X=2x-20$

Step-by-step explanation:

We are given that

$\angle R\cong \angle W$

$RS\cong WX$

$\angle R=2x+3$

$\angle S=x+10$

$\angle T=3x-13$

We have to find the additional fact which proves that triangle RST and triangle WXY are congruent.

In triangle RST

$\angle R+\angle S+\angle T=180^{\circ}$ (Triangle angles sum property)

Substitute the values then we get

$2x+3+x+10+3x-13=180$

$6x=180$

$x=\frac{180}{6}=30^{\circ}$

$\angle R=2(30)+3=63^{\circ}$

$\angle S=30+10=40^{\circ}$

$\angle T=3(30)-13=73^{\circ}$

$\angle R=\angle W=63^{\circ}$

When two triangles are congruent then each part of one triangle is congruent to its corresponding parts of another triangle.

Therefore, if $\triangle RST\cong \triangle WXY$

Then, $\angle S\cong \angle X, \angle T\cong \angle Y$

Therefore, $\angle Y=73^{\circ}$

$\angle X=40^{\circ}$

$\angle X=2(30)-20=40^{\circ}$

Hence, option C is correct.

4 0

4 years ago

Read 2 more answers