1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
lana [24]
3 years ago
15

A pentagon has angle measures of 105°, 101°, 112° and 113°. What must the fifth angle measure?

Mathematics
2 answers:
Taya2010 [7]3 years ago
8 0
Add them. Pentagram interior angle is 540. 105+101+112+113=431. 540-431=109 Hence, 109 is the answer. Please brainliest.
babymother [125]3 years ago
7 0

Answer:

109

Step-by-step explanation:

Pentagon can be represented with 3 triangles:

A+B+C+D+E=3×180

105+101+112+113+E=540 => E=109

You might be interested in
1<br> 4<br> Joey enlarged a 3-inch by 5-inch photograph on a copy machine. He enlarged it four times. The table below<br> shows
lozanna [386]

Answer:

3) 5.4

Step-by-step explanation:

Given two points (x1, f(x1)) and (x2, f(x2)), the average rate of change is computed as follows:

[f(x2) - f(x1)]/[x2 - x1]

From the original photograph to the fourth enlargement, the points are (0, 15) and (4, 36.6). Replacing into the equation we get:

[36.6 - 15]/[4 - 0] = 5.4

4 0
3 years ago
Explain how you can use base 10 blocks to find one. 54+2.37
jasenka [17]
So you mean add 54+2.37? Well, I do know that the answer to 53+2.37= 2.90. I hope I helped, even if I only helped by an inch.
6 0
3 years ago
Find the point (,) on the curve =8 that is closest to the point (3,0). [To do this, first find the distance function between (,)
ELEN [110]

Question:

Find the point (,) on the curve y = \sqrt x that is closest to the point (3,0).

[To do this, first find the distance function between (,) and (3,0) and minimize it.]

Answer:

(x,y) = (\frac{5}{2},\frac{\sqrt{10}}{2}})

Step-by-step explanation:

y = \sqrt x can be represented as: (x,y)

Substitute \sqrt x for y

(x,y) = (x,\sqrt x)

So, next:

Calculate the distance between (x,\sqrt x) and (3,0)

Distance is calculated as:

d = \sqrt{(x_1-x_2)^2 + (y_1 - y_2)^2}

So:

d = \sqrt{(x-3)^2 + (\sqrt x - 0)^2}

d = \sqrt{(x-3)^2 + (\sqrt x)^2}

Evaluate all exponents

d = \sqrt{x^2 - 6x +9 + x}

Rewrite as:

d = \sqrt{x^2 + x- 6x +9 }

d = \sqrt{x^2 - 5x +9 }

Differentiate using chain rule:

Let

u = x^2 - 5x +9

\frac{du}{dx} = 2x - 5

So:

d = \sqrt u

d = u^\frac{1}{2}

\frac{dd}{du} = \frac{1}{2}u^{-\frac{1}{2}}

Chain Rule:

d' = \frac{du}{dx} * \frac{dd}{du}

d' = (2x-5) * \frac{1}{2}u^{-\frac{1}{2}}

d' = (2x - 5) * \frac{1}{2u^{\frac{1}{2}}}

d' = \frac{2x - 5}{2\sqrt u}

Substitute: u = x^2 - 5x +9

d' = \frac{2x - 5}{2\sqrt{x^2 - 5x + 9}}

Next, is to minimize (by equating d' to 0)

\frac{2x - 5}{2\sqrt{x^2 - 5x + 9}} = 0

Cross Multiply

2x - 5 = 0

Solve for x

2x  =5

x = \frac{5}{2}

Substitute x = \frac{5}{2} in y = \sqrt x

y = \sqrt{\frac{5}{2}}

Split

y = \frac{\sqrt 5}{\sqrt 2}

Rationalize

y = \frac{\sqrt 5}{\sqrt 2} *  \frac{\sqrt 2}{\sqrt 2}

y = \frac{\sqrt {10}}{\sqrt 4}

y = \frac{\sqrt {10}}{2}

Hence:

(x,y) = (\frac{5}{2},\frac{\sqrt{10}}{2}})

3 0
3 years ago
Help shaded parts need answers
Andrej [43]

Answer:

? i cant understand this!!!!!!!

Step-by-step explanation:

4 0
3 years ago
A triangle has a base of 54 cm. The height is unknown. Complete the equation that can be used to find the area, A, of the triang
Nookie1986 [14]

Answer:

Step-by-step explanation:

area=1/2×base×height

A=1/2×54×h=27h

4 0
3 years ago
Other questions:
  • The volume of a box that is the shape of a cube is 343 in3. What is the perimeter (distance around a figure) of one face (side)?
    14·1 answer
  • Write a function rule for the table. x f(x) (–3, 1) (–2, 2) (–1, 3) (0, 4)
    10·2 answers
  • Draw and label tape diagrams for the situation described: A recipe calls for 2 cupsof sugar for every 3 cups of flour.
    14·1 answer
  • Graph the hyperbola x^2/4 - y^2/1 =1
    6·1 answer
  • Answer the following questions using metric conversions.
    9·1 answer
  • Please help i will give Brainiest (select all that describes the scatterplot)
    15·1 answer
  • In civics, 5 of 12 freshmen have brown hair and 6 out of 15 sophomores have brown hair. What is the probability of randomly sele
    13·1 answer
  • At a sale on winter clothing, Cody bought two pairs of gloves and four hats for $44.00. Tori bought two pairs of gloves and two
    9·1 answer
  • Graph x^4-3x^2+x. Identify the x-intercepts and the points where the local maximums and local minimums occur. Determine the inte
    14·1 answer
  • Where n<br> 5 and r = 2<br> N!/(n-r)
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!