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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

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6 0
3 years ago
Hisako sells dolls at her doll store. If she sells a doll for $35, and there is 6% sales tax, what is the tax amount a customer
Sloan [31]

Given:

The price of a doll = $35

Sales tax = 6%

To find:

The tax amount that a customer will pay on one doll.

Solution:

The price of doll is $35 and the sales tax is 6%, so the tax amount on a doll is 6% of 35.

\text{Tax amount}=35\times \dfrac{6}{100}

\text{Tax amount}=\dfrac{210}{100}

\text{Tax amount}=\dfrac{21}{10}

\text{Tax amount}=2.1

Therefore, the tax amount that a customer will pay on one doll is $2.1.

7 0
3 years ago
Please answer correctly !!!!!!!!!!!!!!!! Will mark brainliest !!!!!!!!!!!!!!!!!!
Mamont248 [21]
<h2><em>If you put and label the three points in a line, you will see that RS + ST = RT. </em></h2><h2><em> </em></h2><h2><em>Then you only need to substitue with the expressions given for RS and ST to find RT. </em></h2><h2><em> </em></h2><h2><em>RT = x +1 + 2x - 2 = 3x - 1 </em></h2><h2><em> </em></h2><h2><em>Also, RT = 5x - 5 </em></h2><h2><em> </em></h2><h2><em>Then, 3x - 1 = 5x - 5 </em></h2><h2><em> </em></h2><h2><em>5x - 3x = 5 - 1 </em></h2><h2><em> </em></h2><h2><em>2x = 4 </em></h2><h2><em> </em></h2><h2><em>x = 4/2 = 2 </em></h2><h2><em> </em></h2><h2><u><em>X=2</em></u></h2>
7 0
2 years ago
Read 2 more answers
Graph the equation y=-1(x-3)^2+4
Elena L [17]

Answer:

Direction : Open Down

Vertex : (3,4)

Focus : (3,15/4)

Axis of Symmetry : x=3

Directrix : y=17/4

x : 1,2,3,4,5

y : 0,3,4,3,0

Step-by-step explanation: Graph the parabola using the direction, vertex, focus, and axis symmetry. Graph is included down below!

Hope this helps you out! ☺

3 0
3 years ago
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