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Afina-wow [57]
3 years ago
9

Maggie colors a figure in the shape of a trapezoid. The trapezoid is 6 inches tall. The bases are 4.5 inches and 8 inches, What

is the area of the figure that Maggie colored
Mathematics
1 answer:
Yuri [45]3 years ago
7 0
The figure maggie coloured was 216.
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PLEASE ANSWER ASAP. I'LL GIVE BRAINLIEST
ra1l [238]

Answer:

.

See the diagram attached below.

Let the chords be AB and AC with common point A.

AD is the diameter. Join B with D and C with D to form two triangles.

We need to prove that AB=AC.

\begin{gathered}In\ \triangle ABD\ and \triangle ACD;\\Given\ that\ \angle BAD=\angle CAD----(condition\ 1)\\since\ AD\ is\ diameter, \angle ABD=\angle ACD = 90^0\\So\ \angle ADB=\angle ADC--------(condition\ 2)\\AD=AD\ (common\ side)-----(condition\ 3)\\ \\So\ the\ triangles\ are\ congruent\ by\ ASA\ rule.\\Hence\ AB=AC.\end{gathered}

In △ABD and△ACD;

Given that ∠BAD=∠CAD−−−−(condition 1)

since AD is diameter,∠ABD=∠ACD=90

0

So ∠ADB=∠ADC−−−−−−−−(condition 2)

AD=AD (common side)−−−−−(condition 3)

So the triangles are congruent by ASA rule.

Hence AB=AC.

3 0
3 years ago
On a coordinate plane, a line goes through points (negative 3, negative 3) and (0, 3). What is the slope of the line on the grap
NARA [144]

Answer:

2

Step-by-step explanation:

We can find the slope between two points by using

m= (y2-y1)/(x2-x1)

   = (3 - -3)/(0 - -3)

   = (3+3)/(0+3)

   = 6/3

   =2

5 0
3 years ago
Read 2 more answers
PLEASE HELP!<br>Calculate $40^{13} \pmod{85}.$
SVEN [57.7K]
In this type of calculations, we decompose 13 by checking the lowest powers of the base, that is 40. for example we check 40^2, or 40^3 and compare it to 85

Notice

40*40*40=64,000

so we check how many time does 85 fit into 64,000:

64,000/85=752.94

85*753=64,005;       64000-64,005=-5

this means that 

40^{3} =-5\pmod{85}

thus

40^{13} =40^{3*4+1}={(40^{3})}^{4}*40=(-5)^{4}*40 \pmod{85}=\\\\625*40\pmod{85}=(7*85+30)*40\pmod{85}=30*40\pmod{85}\\\\=1200\pmod{85}=(14*85+10)\pmod{85}=10\pmod{85}


Answer: 10 (mod85)

Remark, the set of all solutions is:

{......-75, 10, 95, .....}, that is 85k +10
7 0
3 years ago
 Simplify: 2k– 3k+ 3k ​
Sonbull [250]

Step-by-step explanation:

2k - (3k - 3k) = 2k

please give me a brainliest answer

7 0
2 years ago
Read 2 more answers
(x^2 + x - 17) + (x − 4) divide using polynomial long division
Effectus [21]

Answer: x+5 with a remainder of 3 (can also be said as 3/x-4)

Step-by-step explanation: See attachment

6 0
2 years ago
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