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natka813 [3]
3 years ago
5

What is PQ ? Enter your answer as a decimal in the box. units The figure shows what appears to be acute triangle M N O. Point P

is on side N O. Double tick marks pass through segments N P and P O. Point Q is on side O M. Single tick marks pass through segments O Q and Q M. Segment P Q is drawn. The length of side M N is 14.4.
Mathematics
1 answer:
AURORKA [14]3 years ago
5 0
<span>PQ = 7.2 Thank you for describing the triangle. If you examine the figure you described, you'll realize that triangles MNO and QPO are similar triangles, with triangle QPO being half the size of triangle MNO. You can see this because both triangles have QOP as one of their angles and line segment PO is half the length of line segment NO as evidenced by the double tick marks on each side of the bisector P. Additionally, you can see that line segment QO is half the length of line segment MO as evidenced by point Q being the bisector of MO with the single tick mark on both sides of the bisector. So the length of PQ is half of the length of MN. And 14.4/2 = 7.2</span>
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The answer is 50 because the formula for the area of a triangle is base x hight x 1/2. So if we plug both the 10s into the formula you get 10x10 which = 100 then divide that by 2 and you get 50. Hope it helps :)
5 0
3 years ago
Karrem says that the ratio 4:1 is eqivilent to the ratio of 12:9 because 4+8=12 and 1+8 =9 is karreem correct
Mariana [72]

Answer:

No, Kareem is incorrect.

Step-by-step explanation:

Kareem says that the ratio of \frac{4}{1}=\frac{12}{9} because 4 + 8 = 12 and 1 + 8 = 9

But the correct way to rewrite the ratio 4 : 1 is,

\frac{4}{1}=\frac{4\times 3}{1\times 3}

Which becomes as,

\frac{4}{1}=\frac{12}{3}

Therefore, Kareem is not correct.

Correct ratio equivalent to 4 : 1 is 12 : 3.

8 0
3 years ago
<img src="https://tex.z-dn.net/?f=2a%20%7B%20%7D%5E%7B2%7D%20b%20%7B%7D%5E%7B2%7D%20-%207ab%20-%2030" id="TexFormula1" title="2a
yarga [219]

Answer:

(ab - 6)(2ab + 5)

Step-by-step explanation:

Assuming you require the expression factorised.

2a²b² - 7ab - 30

Consider the factors of the product of the coefficient of the a²b² term and the constant term which sum to give the coefficient of the ab- term

product = 2 × - 30 = - 60 and sum = - 7

The factors are - 12 and + 5

Use these factors to split the ab- term

= 2a²b² - 12ab + 5ab - 30 ( factor the first/second and third/fourth terms )

= 2ab(ab - 6) + 5(ab - 6) ← factor out (ab - 6) from each term

= (ab - 6)(2ab + 5) ← in factored form

5 0
3 years ago
What is 2√20 - 4√45 + 7√12 in simplest radical form? show steps pls
miss Akunina [59]
Exact Form:
8√5+14√3

Decimal Form:
6.36016748

8 0
3 years ago
It takes Jimmy 11 minutes to sweep a porch.
lara31 [8.8K]
Like 6 minutes or somthin
4 0
3 years ago
Read 2 more answers
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