All categories

3 years ago

Find all the measurements for each number

Mathematics

1 answer:

Rom4ik [11]3 years ago

8 0

Answer:

Step-by-step explanation:

Given:

∠2 ≅ ∠7 ≅ ∠19

m∠2 = 125°

Since, m∠1 + m∠2 = 180° [Linear pair of angles]

m∠1 + 125° = 180°

m∠1 = 180 - 125 = 55°

m∠1 = m∠3 = 55° [Vertically opposite angles]

m∠2 = m∠4 = 125° [Vertically opposite angles]

m∠5 = m∠7 = 125°

m∠5 + m∠6 = 180° [Linear pair of angles]

125° + m∠6 = 180°

m∠6 = 180 - 125 = 55°

m∠7 = m∠5 = 125°

m∠8 = m∠6 = 55°

m∠19 = m∠17 = 125° [Vertically opposite angles]

m∠19 + m∠18 = 180° [linear pair of angles]

125° + m∠18 = 180°

m∠18 = 55°

m∠18 = m∠20 = 55° [Vertically opposite angles]

m∠13 = m∠20 = 55° [Corresponding angles]

m∠16 = m∠17 = 125° [Corresponding angles]

m∠15 = m∠18 = 55° [Corresponding angles]

m∠14 = m∠19 = 125° [Corresponding angles]

m∠13 + m∠10 + m∠8 = 180° [Sum of angles in a triangle]

55° + m∠10 + 55° = 180°

m∠10 = 180 - 110 = 70°

m∠10 = m∠12 = 70° [Vertically opposite angles]

m∠9 + m∠10 = 180° [Linear pair of angles]

m∠9 = 180 - 70 = 110°

m∠11 = m∠9 = 110° [Vertically opposite angles]

You might be interested in

Write 16 in the form 2n

Pavlova-9 [17]

Answer:

16 = 2n

Step-by-step explanation:

16 = 2n

16 ÷ 2 = 2n ÷ 2

n = 8

7 0

3 years ago

Read 2 more answers

Suppose log subscript a x equals 2, space log subscript a y equals 5, and log subscript a z equals short dash 3. Find the value

sineoko [7]

The value of the logarithmic expression $\log _a (\frac{x^3y}{z^4} )$ is 24.

Given the following logarithmic expressions $\log _ax = 3, \log _ay = 7, \log _az = -2$ , we are to find the value of $\log _a (\frac{x^3y}{z^4} )$

from the above $\log _ax = 3, x = a^3$

$\log _ay = 7, y = a^7$

Substituting x = $a^3$ , y = $a^7$ and z = $a^{-2}$ into the log function $\log _a (\frac{x^3y}{z^4} )$ we will have;

$\log _a (\frac{x^3y}{z^4} )\\=\log _a (\frac{(a^3)^3 \times a^7}{(a^{-2})^4} )\\= \log _a (\frac{a^9 \times a^7}{a^-^8} )\\= \log _a (\frac{a^1^6}{a^-^8} )\\= \log _a (\frac{x^3y}{z^4} )\\= \log _a a^2^4\\= 24 \log _a a\\= 24 \times 1\\= 24$

Hence, the value of the logarithmic expression is 24

<h3>What is logarithmic expression?</h3>

In an exponential equation, the variable is expressed as an exponent. An equation using the logarithm of an expression containing a variable is referred to as a logarithmic equation.
Check to determine if you can write both sides of the equation as powers of the same number before you attempt to solve an exponential equation.

To learn more about logarithmic expression with the given link

brainly.com/question/24211708

#SPJ4

3 0

2 years ago

What is there constant variation of y=kx through (5,8)

swat32

The value of constant of variation "k" is

Solution:

Given that the direct variation is:

y = kx ----- eqn 1

Where "k" is the constant of variation

Given that the point is (5, 8)

To find the value of "k" , substitute (x, y) = (5, 8) in eqn 1

Thus the value of constant of variation "k" is k = 8/5 or 1.6

I hope this is correct and helps!

6 0

3 years ago

Many practical applications require calculations of area. Some of these calculations are straightforward, but others are more di

lorasvet [3.4K]

Answer:

L*W

Step-by-step explanation:

As we Know tha area of a rectangle is Leght*witdth so in this case will be L*W but lets prove it by calculating the integral:

Area= L*W= $\int\limits^w_0 F{x} \, dx =\int\limits^w_0 L*w({x}) \, dx$

So as the integral of a constant is the constant multiplied by the integration variable x.

The integral becomes: L*W(x) where W(x) in this case is W= L*W

Good luck!

4 0

3 years ago

Which graph represents a reflection of F(x)=1/3(9)^x across the y- axis

Likurg_2 [28]

Answer:

do you have some image?

Step-by-step explanation:

7 0

4 years ago

Find all the measurements for each number ​

Find all the measurements for each number