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3 years ago

the total number of matches in 8 boxes was 384 how many matches could be there in 35 similar marches boxes

Mathematics

1 answer:

kumpel [21]3 years ago

8 0

Step-by-step explanation:

Use unitary method

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Work out the size of AED. Work out x

Monica [59]

Answer:

a). m∠AED = 70°

b). x = 10°

Step-by-step explanation:

a). Quadrilateral ABDE is a cyclic quadrilateral.

Therefore, by the theorem of cyclic quadrilateral,

Sum of either pair of opposite angle is 180°

m(∠AED) + m(∠ABD) = 180°

m(∠AED) = 180° - 110°

m(∠AED) = 70°

Since, ∠AED ≅ ∠EAD

Therefore, m∠AED = m∠EAD = 70°

b). By triangle sum theorem in ΔABD,

m∠ABD + m∠BDA + m∠DAB = 180°

110° + 40° + m∠DAB = 180°

m∠DAB = 180° - 150°

m∠DAB = 30°

m∠BAE = m∠EAD + m∠BAD

= 70° + 30° = 100°

By angle sum theorem in ΔACE,

m∠EAC + m∠AEC + m∠ACE = 180°

100° + 70° + x° = 180°

x = 180° - 170°

x = 10°

4 0

3 years ago

How do you solve this???????<br> 3x+6=-5-2x-6

Elina [12.6K]

Answer:

Step-by-step explanation:

3x+6=-5-2x-6

+2x. +2x

5x+6= -5-6

5x+6= -11

-6. -6

5x= -17

divide by 5

x= -3.4

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3 years ago

Please help I only have an hour.

Goshia [24]

Answer:

Slope (m) = $\frac{y}{x} = \frac{2}{3} = 0.66666666666667$

Step-by-step explanation:

$0 = arctan (\frac{y}{x}) = 33.69006752598°$

X = 4 – 1 = 3

Y = 4 – 2 = 2

$Distance (d) = \sqrt{x^2+y^2}= \sqrt{13} =3.605551275464$

Equation of the line:

y = 0.66666666666667x + 1.3333333333333

$y=\frac{2}{3}x+\frac{4}{3}$

When x=0, y = 1.3333333333333

When y=0, x = -2

4 0

2 years ago

The French helped the Patriot war effort by A. going to war against hostile Native American groups. B. keeping Spain out of the

neonofarm [45]

I think it's c.......

8 0

3 years ago

Peter works as a delivery person for a bike shipping company. The graph shows a linear model for his delivery times on different

aev [14]

Answer/Step-by-step explanation:

✍️The equation of the line in point-slope form:

The equation is given as $y - b = m(x - a)$ , where,

(a, b) = a point on the line.

$slope (m) = \frac{y_2 - y_1}{x_2 - x_1}$

Let's find the slope (m) of the line, housing (3, 21) and (6, 12):

$slope (m) = \frac{y_2 - y_1}{x_2 - x_1} = \frac{12 - 21}{6 - 3} = \frac{-9}{3} = -3$

Substitute a = 3 and b = 21, m = -3 into $y - b = m(x - a)$ .

Thus, the point-slope equation would be:

✅ $y - 21 = -3(x - 3)$

✍️The equation of the line in slope-intercept form:

Rewrite $y - 21 = -3(x - 3)$ , so that y is made the subject of the formula.

$y - 21 = -3x + 9$

Add 21 to both sides

$y = -3x + 9 + 21$

$y = -3x + 30$

✅The slope-intercept equation of the line is $y = -3x + 30$

Where,

-3 = how much did his delivery time decrease per day (slope)

30 = how long it initially took Peter to deliver his packages (y-intercept)

5 0

2 years ago

the total number of matches in 8 boxes was 384 how many matches could be there in 35 similar marches boxes​

the total number of matches in 8 boxes was 384 how many matches could be there in 35 similar marches boxes