Answer and Step-by-step explanation:
Since we know that lines <em>l</em> and <em>m</em> are parallel (we are just proving that they are parallel), we can see that the two angles given are corresponding angles, so they are congruent to each other.
123 = 2x + 7
<u>Subtract 7 from both sides.</u>
116 = 2x
<u>Now, divide both sides by 2.</u>
58 = x
<u>So, the value of x is 58.</u>
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<em><u>#teamtrees #PAW (Plant And Water)</u></em>
Answer:

Step-by-step explanation:
<u>Angles in a Circle</u>
An exterior angle of a circle is an angle whose vertex is outside a circle and the sides of the angle are secants or tangents of the circle.
Segments AE and DE are secants of the given circle. They form an exterior angle called AED.
The measure of an exterior angle is equal to half the difference of the measure of their intercepted arcs.
Intercepted arcs in the given circle are AD=113° and BC=48°. The exterior angle is:



Answer:
26x+6
Step-by-step explanation:
because i am really smart
Correct answers are
and
i.e. Options A & D
<u>Step-by-step explanation:</u>
Options for this questions are:
A)D+1/5D
B)D+20
C)D+20D
D)1.2D choose two answers.
We have , Crispy Clover, a popular vegetarian restaurant, introduced a new menu that has 20%, percent more dishes than the previous menu. The previous menu had D dishes.We need to find expressions could represent how many dishes Crispy Clover's new menu has . Let's find out:
Initially , Number of dishes are D . Then 20% more dishes are there in menu
⇒ 
So , Total Number of Dishes are
⇒ 
⇒ 
⇒ 
⇒ 
⇒ 
Therefore, Correct answers are
and
i.e. Options A & D .
9514 1404 393
Answer:
15 cm
Step-by-step explanation:
The formula for the surface area of the cone is ...
A = πr² +πrL = πr(r +L)
The radius of this cone is half its diameter so is (12 cm)/2 = 6 cm. Then the slant height L can be found from ...
126π cm² = π(6 cm)(6 cm +L)
21 cm = 6 cm +L . . . . . . . . . . . . . . divide by 6π cm
15 cm = L . . . . . . . . . . . . . . . . subtract 6 cm
The slant height is 15 centimeters.