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Mathematics

1 answer:

Fantom [35]2 years ago

4 0

Answer:

Step-by-step explanation:

you know the ratio is 4:3 so you do 4+3=7 then you do 140÷7=20 so I bar represents 20

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What is the sum of a 56-term arithmetic sequence where the first term is 6 and the last term is 391?

Sati [7]

$S_n=\dfrac{a_1+a_n}{2}\cdot n\\\\a_1=6;\ n=56;\ a_{56}=391\\\\subtitute\\\\S_{56}=\dfrac{6+391}{2}\cdot56=\dfrac{397}{2}\cdot56=397\cdot28=11,116$

7 0

3 years ago

Read 2 more answers

In the above figure (not drawn to scale), Find ∠AEC.

n200080 [17]

Answer:

C. 75°

Step-by-step explanation:

We have been given a circle and we are asked to find the measure of angle AEC.

We will use Intersecting chords theorem to find the measure of angle AEC, which states that measure of angle formed inside a circle by two intersecting chords is one half the sum of the measure of the arcs intercepted by the angle and its vertical angle.

We can see that measure of arc AC is 110 degrees and measure of its vertical arc BD is 40 degrees.

$m\angle AEC=\frac{110^o+40^o}{2}$