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blondinia [14]
3 years ago
10

HELP QUICKLY PLEASE!!!!!!!

Mathematics
1 answer:
Mumz [18]3 years ago
8 0
SAS because you have 2 known side lengths and one angle!
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This data set represents the widths in yards of pieces of fabric used by a sewing group. What is the mean of this data set? {113
lukranit [14]

Answer:

Mean = 55.2

Step-by-step explanation:

Given data set:   113, 14, 23, 12, 114

To find the <u>mean</u> of a data set, <u>divide</u> the <u>sum</u> of all data values by the total <u>number</u> of data values:

\large \begin{aligned}\sf Mean & = \sf\dfrac{sum\:of\:all\:data\:values}{total\:number\:of\:data\:values} \\\\\implies \sf Mean & = \sf \dfrac{113 + 14 + 23 + 12 + 114}{5}\\\\& = \sf \dfrac{276}{5}\\\\& = \sf 55.2\end{aligned}

5 0
2 years ago
Read 2 more answers
Given: △ABC, BC&gt;AC, D∈ AC , CD=CB Prove: m∠ABD is acute
Aleksandr [31]

Answer:

Step-by-step explanation:

Given: △ABC, BC>AC, D∈ AC , CD=CB

To prove: m∠ABD is acute

Proof: In ΔABC, the angle opposite to side BC is ∠BAC and  the angle opposite to side  AC is ∠ABC.

Now, it is given that  BC>AC, then ∠BAC>∠ABC..                       (1)

In ΔBDC, using the exterior angle property,

∠ADB=∠DBC+∠BCD

∠ADB=∠DBC+∠BCA

⇒∠ADB>∠BAC                            (2)

From equation (1) and (2), we get

∠ADB>∠BAC

⇒∠ADB>∠ABC

⇒DB>AB

Hence,    m∠ABD is acute            

4 0
4 years ago
Calcule a área do círculo que tem de diâmetro a 20cm
jolli1 [7]
Area of circle is πr^2
Diameter is given =20 cm
Radius r=d/2=20/2=10cm
A=3.14×100
A=314 cm^2
7 0
3 years ago
Solve for x and y: ax/b -by/a=a+b; ax-by= 2ab
Svetlanka [38]
Y=-a
x=b
a^2x-b^2y/ab=a+b
ax-by=2ab

3 0
3 years ago
What are the coordinates of the vertex of the parabola shown (90,50) (10,50) (10,700) (50,700)
Natasha_Volkova [10]
(50, 700)
The vertex of a parabola is the point at the intersection of the parabola and its line of symmetry.
3 0
2 years ago
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