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3 years ago

A and B are vertical angles with mA= x and mB= 4x - 30.

Mathematics

2 answers:

Pie3 years ago

5 0

Answer:

Find the value of X in triangles by subtracting known angle measurements from 180 degrees. Since the value of all angles within a triangle must equal 180 degrees, if you know at least two angles, you can subtract them from 180 to find the missing third angle.

Facts About Vertical Angles- Vertical angles are always congruent that are of equal measure. Both pairs of vertical angles (four angles altogether) always sum up to 360 degrees. Angles from each pair of vertical angles are known as adjacent angles and are supplementary (the angles sum up to 180 degrees).

dezoksy [38]3 years ago

4 0

9514 1404 393

Answer:

10°

Step-by-step explanation:

Vertical angles have the same measure, so ...

∠A = ∠B

x = 4x -30

30 = 3x . . . . . . . add 30-x to both sides

10 = x = ∠A . . . . divide by 3

The measure of ∠A is 10°.

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Last quarter, 84 seventh grade students made honor roll. If there are 400 students in the seventh grade, what percent made honor

sukhopar [10]

Answer:

21%

Step-by-step explanation:

Formula for this type of problem is

$\frac{84}{400} = \frac{x}{100}$

cross multiply

$8400 = 400x$

divide by 400

$8400 = 400x$

/400 /400

$21 = x\\$

plug 21 into the original equation

$\frac{84}{400} = \frac{21}{100}$

simplify

$\frac{84}{100} = .21$

.21 can be represented as 21%

8 0

3 years ago

Read 2 more answers

Triangle ABC has vertices A(2,3), B(4,5), and C(6,1).

horrorfan [7]

Answer:

Step-by-step explanation:

5 0

3 years ago

StartFraction (negative 7) squared Over (negative 7) Superscript negative 1 EndFraction

Elan Coil [88]

Answer:

-343

Step-by-step explanation:

Given the expression: $\dfrac{(-7)^2}{(-7)^{-1}}$

You will notice that the terms in the numerator and denominator have the same base (-7).

This makes it very easy to simplify by applying the division law of indices.

$\dfrac{a^x}{a^y} =a^{x-y}$

Therefore:

$\dfrac{(-7)^2}{(-7)^{-1}}=(-7)^{2-(-1)}\\=(-7)^{2+1}\\=(-7)^3\\=-7 X -7 X -7\\=-343$

8 0

4 years ago

Read 2 more answers

Pizazz manufactures a 5.0 oz. energy drink of the same name. Because the cans are so small, consumers are concerned that they ar

omeli [17]

Answer:

The LCL of the R-chart starts from the origin ( i.e. zero value ) while the LCL of an X -chart did not start from the origin

LCL of R-chart = 0 * 0.84533 = 0

LCL of R-chart = 75.128

Step-by-step explanation:

Given data:

number of observations = 15

sample size ( m ) = 6

sum of sample mean = 80.20 ounces

sum of sample range ( R ) = 12.68 ounces

Determine the control limits of an x-bar and R-chart

<em>for an R-chart </em>

LCL of R-chart = D3 * R(bar) ---- ( 1 )

where : m = 6 , D3 = 0 , R = 12.68

R(bar) = 0.84533

back to equation 1

LCL of R-chart = 0 * 0.84533 = 0

<em>for an X-chart </em>

LCL of X-bar) = ( mean ) - (m x R-bar)

= 80.20 - ( 6 * 0.84533 )

= 75.128

The LCL of the R-chart starts from the origin ( i.e. zero value ) while the LCL of an X -chart did not start from the origin

3 0

3 years ago

mara finished 1/5 assignment on saturday and 3/8 on saturday.what fraction of her assignment did she complete on saturday and su

Cerrena [4.2K]

So add
1/5+3/8
convert bottom number to same number
5 times 8=40
bottom mub be 40
1/5 times 8/8=8/40
3/8 times 5/5=15/40
add

1/5+3/8=8/40+15/40=(8+15)/40=23/40
so completed 23/40 total

8 0

4 years ago