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tresset_1 [31]
3 years ago
13

Can someone help me do this

Mathematics
1 answer:
Andrei [34K]3 years ago
7 0

Answer:

...

Step-by-step explanation:

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∠A and ∠B are vertical angles. If m ∠A=(2x+26)∘ and ∠B=(3x−29)∘, then find the measure of ∠A.
Leya [2.2K]

The measure of angle (m ∠A) is 136°

<h3>Vertical angles theorem</h3>

From the question, we are to find the measure of angle A

From the given information, we have that

∠A and ∠B are vertical angles

Thus

∠A = ∠B

and

Also, from the given information,

m ∠A=(2x+26)°

and

m ∠B= (3x−29)°

∴ (2x+26)° = (3x−29)°

Now, solve for x

2x + 26 = 3x - 29

26 + 29 = 3x - 2x

55 = x

∴ x = 55

But measure of angle A is given by

m ∠A=(2x+26)°

Put the value of x into the equation,

m ∠A=(2(55)+26)°

m ∠A=(110+26)°

m ∠A = 136°

Hence, the measure of angle (m ∠A) is 136°

Learn more on Vertical angle theorem here: brainly.com/question/24839702

#SPJ1

6 0
2 years ago
Cylinder E has the following dimensions: h = 30 cm and r = 4 cm. Cylinder F has the same radius, but has a height of 5 cm . What
Anarel [89]

Answer:

1759.52cm^3

Step-by-step explanation:

Given data

Cylinder E

h = 30 cm and

r = 4 cm

The expression for the volume is

V= πr^2h

V= 3.142*4^2*30

V= 3.142*16*30

V=1508.16 cm^3

Cylinder F

h=5 cm

r = 4 cm

The expression for the volume is

V= πr^2h

V= 3.142*4^2*5

V= 3.142*16*5

V=251.36 cm^3

Hence the total volume is

=251.36+1508.16

= 1759.52cm^3

6 0
3 years ago
(Picture) MULTIPLYING POLYNOMIALS AND SIMPLIFYING EXPRESSIONS PLEASE HELP!!!!
Mrrafil [7]

Answer:

  • -32x² +8x -8
  • See below about the process

Step-by-step explanation:

The simplified expression is ...

  3x(x -12x) +3x² -2(x -2)²

  = 3x(-11x) +3x² -2(x² -4x +4) . . . . . simplify contents of parentheses

  = -33x² +3x² -2x² +8x -8 . . . . . . . .eliminate parentheses

  = (-33 +3 -2)x² +8x -8 . . . . . . . . . . group the coefficients of like terms

  = -32x² +8x -8

8 0
3 years ago
Read 2 more answers
Theorem: A line parallel to one side of a triangle divides the other two proportionately.
Kisachek [45]

Answer:

Segment BF = 16

Step-by-step explanation:

The given theorem states that a line parallel to one side of a triangle divides the other two sides proportionately

The given theorem is the Triangle Proportionality Theorem

According to the theorem, given that segment DE is parallel to segment BC, we have;

\dfrac{AD}{BD} = \dfrac{AE}{EC}

Therefore;

BD = \dfrac{AD}{\left(\dfrac{AE}{EC} \right) }  = AD \times \dfrac{EC}{AE}

Which gives;

BD = 6 \times \dfrac{18}{12}= 9

Similarly, given that EF is parallel to AB, we get;

\dfrac{AE}{EC} = \dfrac{BF}{FC}

Therefore;

BF = FC \times \dfrac{AE}{EC}

Which gives;

BF = 24 \times \dfrac{12}{18} = 16

Therefore, the statement that can be proved using the given theorem is segment BF = 16.

8 0
3 years ago
Pls help answer <br> I’m thinking it’s negative but I’m not sure.
Digiron [165]
Negative i believe is the correct answer
3 0
3 years ago
Read 2 more answers
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