PLZ HURRY!!!! 15 POINTS!

Mathematics

2 answers:

monitta3 years ago

6 0

Answer:

7.5 min

Step-by-step explanation:

Daniel [21]3 years ago

5 0

I think it’s 7.5 minutes

You might be interested in

Hello, happy Friday, I am just here with some geometry questions.

Marina86 [1]

Answer:

$x=12$

Step-by-step explanation:

Notice that the segment bisects the obtuse angle.

Then by the Angle Bisector Theorem:

$\displaystyle \frac{x-4}{6}=\frac{x}{9}$

Cross-multiply:

$6(x)=9(x-4)$

Distribute:

$6x=9x-36$

So:

$-3x=-36$

Therefore:

$x=12$

6 0

3 years ago

Given: △ACM, m∠C=90°, CP ⊥ AM

larisa86 [58]

Answer: The answer is $3\dfrac{4}{7}.$

Step-by-step explanation: Given in the question that ΔAM is a right-angled triangle, where ∠C = 90°, CP ⊥ AM, AC : CM = 3 : 4 and MP - AP = 1. We are to find AM.

Let, AC = 3x and CM = 4x.

In the right-angled triangle ACM, we have

$AM^2=AC^2+CM^2=(3x)^2+(4x)^2=9x^2+16x^2=25x^2\\\\\Rightarrow AM=5x.$

Now,

$AM=AP+PM=AP+(AP+1)\\\\\Rightarrow 2AP=AM-1\\\\\Rightarrow 2AP=5x-1.~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(A)$

Now, since CP ⊥ AM, so ΔACP and ΔMCP are both right-angled triangles.

So,

$CP^2=AC^2-AP^2=CM^2-MP^2\\\\\Rightarrow (3x)^2-AP^2=(4x)^2-(AP+1)^2\\\\\Rightarrow 9x^2-AP^2=16x^2-AP^2-2AP-1\\\\\Rightarrow 2AP=7x^2-1.~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(B)$