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3 years ago

Find the measure of each numbered angle.

Mathematics

2 answers:

lions [1.4K]3 years ago

8 0

Answer:

2.) m/_1 = 50

3. )m/_2=88

Step-by-step explanation:

2.) the line that the exterior angle 140 is on is a straight line. this means it is 180 degrees. 180 - 140 = 40. the box in the left corner means it is a right angle or 90 degrees. evey triangle is 180 degrees so add 40 and 90 to get 130 and then subtract 130 from 180 to get 50 which is the angle number 1.

3.)the line 120 is on is a straight line so we do 180 minus 120 to get the angle inside. it is 60. 60 +32 = 92. 180 - 92 is 88 degrees.

Ket [755]3 years ago

3 0

Answer:

m∠1 = 50°

m∠2 = 88°

Step-by-step explanation:

Each triangle's angles have to add up to 180°. Use supplementary angles theorem to help solve.

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What is the correct answer and why show your work

Anna11 [10]

Answer:

A7.45x = y

Step-by-step explanation:

We can use a ratio to solve this problem. Take the total cost of the lunches and divide by the number of lunches.

y = total cost of lunches and

x = number of lunches

74.50 y

-------------- = ------------

10 x

Using cross products

74.5 x = 10 y

Divide each side by 10

74.5/10 x= 10y/10

7.45x = y

6 0

3 years ago

Read 2 more answers

Enny’s mother is 5 years older than twice Jenny's age. The sum of their ages is 62 years. This is represented by the equation x

pickupchik [31]

X + 2x + 5 = 62 which can be turned into.
3x + 5 = 62
-5 -5 now we subtract 5 from each side
3x = 57
/3 /3 now we divide 3 from each side to get...
x = 19.
Now to check 19 + (2 x 19) + 5 does in fact equal 62. Jenny is 19 years old. Hope this helped.

3 0

3 years ago

Read 2 more answers

Which expression is equivalent to x y Superscript two-ninths?

crimeas [40]

Option D: $x\sqrt[9]{y^2}$ is the expression equivalent to $xy^{\frac{2}{9}}$

Explanation:

Option A: $\sqrt{xy^9}$

The expression can be written as $({xy^9})^{\frac{1}{2}$

Applying exponent rule, we get,

$x^{\frac{1}{2}} y^{\frac{9}{2}}$

Thus, the expression $\sqrt{xy^9}$ is not equivalent to the expression $xy^{\frac{2}{9}}$

Hence, Option A is not the correct answer.

Option B: $\sqrt[9]{xy^2}$

The expression can be written as $({xy^2})^{\frac{1}{9}$

Applying exponent rule, we get,

$x^{\frac{1}{9}} y^{\frac{2}{9}}$

Thus, the expression $\sqrt[9]{xy^2}$ is not equivalent to the expression $xy^{\frac{2}{9}}$

Hence, Option B is not the correct answer.

Option C: $x\sqrt{y^9}$

The expression can be written as $x(y^9)^{\frac{1}{2} }$

Applying exponent rule, we get,

$x y^{\frac{9}{2}}$

Thus, the expression $x\sqrt{y^9}$ is not equivalent to the expression $xy^{\frac{2}{9}}$

Hence, Option C is not the correct answer.

Option D: $x\sqrt[9]{y^{2} }$

The expression can be written as $x(y^2)^{\frac{1}{9} }$

Applying exponent rule, we get,

$xy^{\frac{2}{9}}$

Thus, the expression $xy^{\frac{2}{9}}$ is equivalent to the expression $xy^{\frac{2}{9}}$

Hence, Option D is the correct answer.

4 0

3 years ago

Read 2 more answers

Which point is on the graph of the equation y=2x-5?

Svetlanka [38]

Answer:

(2,-1)

Step-by-step explanation:

If you plug each answer into the equation, (2,-1) is the only answer that makes the equation true. Hope this helps!

6 0

3 years ago

Please help with this

ioda

Answer:

Some have multiple choices. See below for additional comments.

a) iii
b) i
c) v
d) ii
e) iv

Step-by-step explanation:

i -- slope-intercept form. Shows the slope and the y-intercept

ii -- slope-intercept form. Shows the slope and the x-intercept

iii -- intercept form. Shows both the x- and y-intercepts

iv -- standard form.

v -- point-slope form. Shows the slope and one point on the line.

vi -- another point-slope form. Shows the slope and one point on the line

With the above forms in mind, ...

a) both intercepts are best shown in form iii

b) the slope is shown in forms i, ii, v, vi. Form i is the most uncluttered.

c) points are shown in forms v and vi. Form v may be least confusing.

d) the sign can be readily determined in form ii.

e) testing the given point is easily done using forms ii and iv. Form iv may be the best for this.

_____

<em>Additional comments</em>

Since each of these forms of the equation has utility in different situations, it can be worthwhile to learn the different forms. For example, I like the standard form for making perpendicular lines, though any of the "slope-" forms can be useful for that, too. The useful form to start with will be the one that best relates to the information given. (For two points given, there is a "2-point form" not shown here.)

6 0

4 years ago