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3 years ago

What is the measure of angle I, m

Mathematics

1 answer:

strojnjashka [21]3 years ago

3 0

Answer:

angle I =110

70 +I = 180 (opp side of parallelogram are equal)

I = 180 - 70

angle I =110

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Find two numbers if their ratio is 9:11 and their difference is 6. Not 27 and 33

meriva

Answer:

Sets of numbers are ( 27,33) and (-27, -33)

Explanation;

Let the numbers be a and b.

We have their ratio is 9:11

$\frac{a}{b} =\frac{9}{11} \\ \\11a=9b$

Their difference is 6

$\left | a- \right b|=7$

( a - b) = 6 or (b - a ) = 6

11a - 11 b = 66 or 11b - 11a = 66

9b - 11 b = 66 or 11b -9b = 66

-2b = 66 or 2b = 66

b = -33 or b = 33

if b = -33, a = -33 + 6 = -27

if b = 33, a = 33-6 =27

So, the sets of numbers are ( 27,33) and (-27, -33)

8 0

4 years ago

The graph of a system of linear equations shows 2 lines with different slopes.

Lera25 [3.4K]

Answer:

they show parralel line and perpendicular line

if the slopes are the same and the y-intercepts are different, the lines are parallel. If the slopes are different, the lines are not parallel. Unlike parallel lines, perpendicular lines do intersect.

the x and y intercept are different

two solutions

7 0

3 years ago

Read 2 more answers

Can someone please help me answer these 2 questions with a full explanation so I can do the rest on my own? will give brainliest

Anton [14]

Answer:

a) ∠ABC = 54°

a) ∠ABC = 43°

Step-by-step explanation:

Trigonometric ratios

$\sf \sin(\theta)=\dfrac{O}{H}\quad\cos(\theta)=\dfrac{A}{H}\quad\tan(\theta)=\dfrac{O}{A}$

where:

$\theta$ is the angle
O is the side opposite the angle
A is the side adjacent the angle
H is the hypotenuse (the side opposite the right angle)

Part (a)

Use the cos trig ratio to find an expression for the measure of BD:

$\implies \sf \cos (38^{\circ})=\dfrac{BD}{24.3}$

$\implies \sf BD=24.3\cos (38^{\circ})$

Use the cos trig ratio and the found length of BD to find angle ABD:

$\sf \implies \cos(ABD)=\dfrac{BD}{19.9}$

$\sf \implies \angle ABD=\cos^{-1}\left(\dfrac{24.3\cos (38^{\circ})}{19.9}\right)$

$\sf \implies \angle ABD=15.79446612...^{\circ}$

Therefore:

$\sf \implies \angle ABC=\angle ADB + 38^{\circ}$

$\sf \implies \angle ABC=15.79446612...^{\circ}+ 38^{\circ}$

$\sf \implies \angle ABC=54^{\circ}\:\:(nearest\:degree)$

Part (b)

Use the tan trig ratio to find angle CAD:

$\implies \sf \tan(CAD)=\dfrac{4.9}{7.4}$

$\implies \sf \angle CAD=\tan^{-1} \left(\dfrac{4.9}{7.4}\right)$

$\implies \sf \angle CAD=33.5110188...^{\circ}$

Therefore:

$\sf \implies \angle BAD=13^{\circ}+33.5110188...^{\circ}$

$\sf \implies \angle BAD=46.5110188...^{\circ}$

∠ABC = ∠ABD

Interior angles of a triangle sum to 180°

$\sf \implies \angle ABD + \angle BAD + \angle BDA=180^{\circ}$

$\sf \implies \angle ABC + 46.5110188...^{\circ} + 90^{\circ}=180^{\circ}$

$\sf \implies \angle ABC=43^{\circ}\:\:(nearest\:degree)$

4 0

3 years ago

On Monday, 21 DVD's were checked out at the library. This is 3 less than half the amount of books checked out that day. How many

lbvjy [14]

DVDs=½b-3
21=½b-3
B=(21+3)÷½
=24*2
=48books

4 0

3 years ago

During each minute of comedy show, Carlin laughs 5 times. Carlin watches 3 comedy shows every day, and each show is 40 minutes l

wariber [46]

During each minute, he laughs 5 times

he watches 3 comedy shows....each one being 40 minutes....so thats a total of : 3 * 40 = 120 minutes

and if he laughs 5 times per minute....120 * 5 = 600 laughs per day <==

3 0

3 years ago

Read 2 more answers