All categories

3 years ago

Find m∠ABD and m∠CBD given m∠ABC = 111∘.

Mathematics

2 answers:

sineoko [7]3 years ago

7 0

Answer:

m∠ABD = 88º

m∠CBD = 23º

Step-by-step explanation:

(-10x + 58) + (6x + 41) = 111

Combine like terms

-4x + 99 = 111

Subtract 99 from both sides

-4x = 12

Divide both sides by -4

x = -3

------------------------

m∠ABD = -10x + 58

m∠ABD = -10(-3) + 58

m∠ABD = = 30 + 58

m∠ABD = 88º

m∠CBD = 6x + 41

m∠CBD = 6(-3) + 41

m∠CBD = -18 + 41

m∠CBD = 23º

lakkis [162]3 years ago

3 0

Answer:

88, 23

Step-by-step explanation:

<ABD + <DBC = <ABC

(-10x + 58) + (6x + 41) = 111

-10x + 58 + 6x + 41 = 111

99 - 4x = 111

-4x = 111-99

-4x = 12

x = 12/-4

x = -3

m∠ABD = -10x + 58

m∠ABD = -10(-3) + 58

m∠ABD = = 30 + 58

m∠ABD = 88º

<DBC = 6x + 41 = 6*-3 + 41 = -18 + 41 = 23

Hope it helps u

Please mark as brainliest

You might be interested in

Question 2 options:

Vikki [24]

Answer:

slope

point-slope form

correlation

Step-by-step explanation:

If you have a line and you know the coordinates of a point on the line, (x1, y1); and you know the slope, m, you can write the equation of the line in point-slope form, y - y1 = m(x - x1). 2 variable data whose point pattern can be represented best by a line is said to have a linear correlation.

The slope, meaning how steep a line is, is represented by the variable m for linear equations.

y - y1 = m(x - x1) is point-slope form, one type of linear equation to represent a straight line. (There is also standard form and slope-intercept form).

Correlation is the relationship between things, like 2 variable data.

8 0

3 years ago

Find the area of the figure.

PtichkaEL [24]

Answer:

which figure?........

7 0

3 years ago

Which expression is equivalent to ^4sqrt6/^3sqrt2?

BigorU [14]

$\dfrac{\sqrt[4]6}{\sqrt[3]2}=6^\frac{1}{4}:2^\frac{1}{3}=6^\frac{1\cdot3}{4\cdot3}:2^{\frac{1\cdot4}{3\cdot4}}=6^\frac{3}{12}:2^\frac{4}{12}=(6^3)^\frac{1}{12}:(2^4)^\frac{1}{12}\\\\=216^\frac{1}{12}:16^\frac{1}{12}=(216:16)^\frac{1}{12}=\sqrt[12]{\dfrac{216}{16}}=\sqrt[12]{\dfrac{27}{2}}\\\\\text{Answer:}\ 1)\ \sqrt[12]{\dfrac{27}{2}}$