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3 years ago

94 POINTS AND BRAINLIEST TO BEST ANSWER!!!

Mathematics

2 answers:

Schach [20]3 years ago

7 0

Answer:

Step-by-step explanation:

Diagonals are perpendicular so

2x+ 90 + 3x = 180 since this forms a triangle

Combine like terms

5x+ 90 = 180

Subtract 90 from each side

5x +90-90 =180-90

5x = 90

Divide each side by 5

5x/5 = 90/5

x =18

We want to find Angle ABD

ABD = 3x = 3*18 = 54

nika2105 [10]3 years ago

4 0

Answer:

HOPE THIS HELPS PLS DON"T TAKE IT DOWNN

Step-by-step explanation:

Say that the intersecting point of both diagonals is O

that means that in triangle AOB, all angles add up to 180º that is just the definition of sum of angles in a triangle

and the m<AOB = 90º, diagonals in a rhombus are perpendicular

that means that

90º + 2x + 3x = 180º

90º + 5x = 180º

5x = 90º

x = 18º

if m<ABD = 3x

then its equal to m<ABD = 3(18)

m<ABD = 54º

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In MON, J, K, and L are midpoints. If JL = 11, LK = 13, and ON = 20, and JL || MN, LK || MO, and JK || ON, what is the length of

In-s [12.5K]

Answer:

The lengths of MN is 22 units, MO is 26 units and JK is 10 units

Step-by-step explanation:

A line segment joining the mid-points of two sides in a triangle is parallel to the third side and equal to half its length

In Δ MON

∵ J, K, and L are mid-points

∵ JL // MN and LK // MO

∴ L is the mid-point of ON

∴ J is the mid-point of MO

∴ K is the mid-point of MN

∵ J, L are the mid-points of MO and ON

∵ JL is opposite to MN

→ By using the rule above

∴ JL = $\frac{1}{2}$ MN

∵ JL = 11 units

∴ 11 = $\frac{1}{2}$ MN

→ Multiply both sides by 2

∴ 22 = MN

∴ MN = 22 units

∵ K, L are the mid-points of MN and ON

∵ KL is opposite to MO

→ By using the rule above

∴ KL = $\frac{1}{2}$ MO

∵ KL = 13 units

∴ 13 = $\frac{1}{2}$ MO

→ Multiply both sides by 2

∴ 26 = MO

∴ MO = 26 units

∵ J, K are the mid-points of MO and MN

∵ JK is opposite to ON

→ By using the rule above

∴ JK = $\frac{1}{2}$ ON

∵ ON =20 units

∴ JK = $\frac{1}{2}$ (20)

∴ JK = 10 units

∴ The lengths of MN are 22 units, MO is 26 units and JK is 10 units

3 0

3 years ago

write the equation of the line that passes through the given points (0,-1) and (-5,-7) Simplify your answer

USPshnik [31]

Answer:

y = 6/5 x-1 slope intercept form

6x-5y = 5 standard form

Step-by-step explanation:

We have the points (0,-1) and (-5,-7)

We can find the slope using

m = (y2-y1)/(x2-x1)

= (-7--1)/(-5-0)

= (-7+1)/(-5-0)

= -6/-5

= 6/5

We also have the y intercept ( when x=0) It is -1

We can use the slope intercept form of the equation y = mx+b

y = 6/5 x-1

Depending on what you mean when you say simplify your answer

We can put it in standard form ax+by = C

Multiply both sides by 5

5y =5* 6/5 x-1*5

5y = 6x-5

Subtract 6x from each side

-6x+5y = 6x-6x-5

-6x+5y = -5

Multiply by -1

6x-5y = 5

4 0

3 years ago

Write the product form of 3 a² b ³

kifflom [539]

Answer:

a³-b³= (a-b)(a²+ab+ b²)

Step-by-step explanation:

3 0

3 years ago

14/15 divided by 7/5

Charra [1.4K]

9514 1404 393

Answer:

2/3

Step-by-step explanation:

There are a couple of different ways that division of fractions can be done.

1) "invert and multiply"

$\dfrac{14}{15}\div\dfrac{7}{5}=\dfrac{14}{15}\times\dfrac{5}{7}\\\\=\dfrac{14}{7}\times\dfrac{5}{15}=\boxed{\dfrac{2}{3}}$

2) use the numerators when the denominators are the same

$\dfrac{14}{15}\div\dfrac{7}{5}=\dfrac{14}{15}\div\dfrac{21}{15}\\\\=\dfrac{14}{21}=\boxed{\dfrac{2}{3}}$

6 0

3 years ago

What is equal to n in this equation

IRISSAK [1]

Answer:

n = -45

Step-by-step explanation:

(n-5) /10 = -5

Multiply each side by 10

(n-5) /10 *10= -5*10

n-5 = -50

Add 5 to each side

n-5+5 = -50+5

n = -45

4 0

3 years ago