All categories

3 years ago

Part A:

Mathematics

1 answer:

PIT_PIT [208]3 years ago

7 0

Answer:

∠ MON = 128°

Step-by-step explanation:

∠ LOM + ∠MON = ∠ LON , substitute values

3x + 43 + 8x + 104 = 180, that is

11x + 147 = 180 ( subtract 147 from both sides )

11x = 33 ( divide both sides by 11 )

x = 3

Thus

∠ MON = 8x + 104 = 8(3) + 104 = 24 + 104 = 128°

You might be interested in

In a triangle ABC two points D,E are taken on BC so that angle BAD=angle DAE=angleCAE. Determine AE if AB=5,BC=10 angle BAC=90.

lord [1]

Answer:

AE = 7.5

Step-by-step explanation:

Since <BAC = $90^{0}$ , then;

<BAD = <DAE = <CAE = $30^{0}$ (complementary angles)

From ΔABC, applying the Pythagoras theorem to determine the length of side AC;

$/BC/^{2}$ = $/AC/^{2}$ + $/AB/^{2}$

$/10/^{2}$ = $/AC/^{2}$ + $/5/^{2}$

100 = $/AC/^{2}$ + 25

$/AC/^{2}$ = 100 - 25

$/AC/^{2}$ = 75

AC = $\sqrt{75}$

Applying trigonometric function to ΔCAE,

Cos $30^{0}$ = $\frac{AE}{\sqrt{75} }$

AE = $\sqrt{75}$ × Cos $30^{0}$

= 7.5

Therefore, AE = 7.5

4 0

3 years ago

paul has a paperweight shaped like a square pyramid shown what is the total area in square centermeters

DedPeter [7]

here is the picture to your problem

4 0

3 years ago

Read 2 more answers

1, Is this triangle a right triangle? Explain.

liberstina [14]

Answer:

Yes

Step-by-step explanation:

It has the square in the corner meaning it is a right triangle, it only needs one right angle to be a right triangle. So you can say that is a shortcut.

7 0

3 years ago

Factor the coefficient out of 1/5x -3/5

zysi [14]

Answer:

1/5 (x-3)

Step-by-step explanation:

1/5x -3/5

1/5 (x-3)

6 0

3 years ago

Will give brainliest <br> Please answer and Explain detailed

AleksandrR [38]

Answer:

27%

Step-by-step explanation:

50+61=111

111÷4=27

4 is the number of roles

6 0

3 years ago

Read 2 more answers