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3 years ago

In the sketch below, two parallel lines are cut by a transversal.

Mathematics

1 answer:

Anettt [7]3 years ago

7 0

Answer:

m<1 = 150°

Step-by-step explanation:

Given:

m<1 = (4x + 50)°

m<2 = (7x - 25)°

Required:

m<1

Solution:

To find m<1, we need to create an equation that will enable us determine the value of x.

Thus,

4x + 50 = 7x - 25 => corresponding angles are congruent to each other

4x + 50 - 7x = 7x - 25 - 7x (subtraction property of equality)

-3x + 50 = - 25

-3x + 50 - 50 = -25 - 50 (substraction property of equality)

-3x = -75

-3x/-3 = -75/-3 (division property of equality)

x = 25

✅m<1 = (4x + 50)°

Plug in the value of x

m<1 = 4*25 + 50 = 100 + 50

m<1 = 150°

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Suppose given △ABD and △CBD.

patriot [66]

Answer:

The required result is proved with the help of angle bisector theorem.

Step-by-step explanation:

Given △ABD and △CBD, AE and CE are the angle bisectors. we have to prove that $\frac{AD}{AB}=\frac{DC}{CB}$

Angle bisector theorem states that an angle bisector of an angle of a Δ divides the opposite side in two segments that are proportional to the other two sides of triangle.

In ΔADB, AE is the angle bisector

∴ the ratio of the length of side DE to length BE is equal to the ratio of the line segment AD to the line segment AB.

$\frac{DE}{EB}=\frac{AD}{AB}$ → (1)

In ΔDCB, CE is the angle bisector

∴ the ratio of the length of side DE to length BE is equal to the ratio of the line segment CD to the line segment CB.

$\frac{DE}{EB}=\frac{CD}{CB}$ → (2)

From equation (1) and (2), we get

$\frac{AD}{AB}=\frac{CD}{CB}$

Hence Proved.

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3 years ago

5×100+9×1+41/100 as a decimal

liubo4ka [24]

Answer:

Step-by-step explanation:

Parentheses Exponents Multiplication Division Addition Subtraction

5X100=500 and 9X1=9 and 41/100=0.41 Then put them back into the equation

5X100+9X1+41/100=

500 + 9 + 0.41 = Now add. 509.41

3 0

3 years ago

How many liters of a 90% acid solution must be added to 6 liters of a 15% acid solution to obtain a 40% acid solution?

tatiyna

3 liters must be added

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3 years ago

Write the doubles plus one fact for 7+7.

Pie

Answer:

7 + 8 = 7 + 7 + 1.

Step-by-step explanation:

We know that, 'double plus one facts' is used to make the addition of numbers easy.

For e.g. we have 8 + 9 = 17. This addition can also be done as 8 + 8 + 1 = 17 i.e. we write first term twice and add 1 to get the result.

Hence, we give the name to this type of addition as 'double plus one'.

Now, we have to use this fact for 7 + 7.

So, we consider 7 + 8 = 15.

Therefore, 7 + 8 can be written as 7 + 7 + 1

Hence, the double plus one facts for 7 + 7 is 7 + 8 = 7 + 7 + 1.

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4 years ago

Read 2 more answers

-25 - 30 + 2 = pls help

Galina-37 [17]

Answer:

Step-by-step explanation:

Do addition first, so 30 plus 2, and then subtract, 32 minus 25. It is seven.

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3 years ago