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Korolek [52]
3 years ago
9

Find AT AND RC. 80 points

Mathematics
2 answers:
stealth61 [152]3 years ago
6 0

Answer:

AT=6, RC=5

Step-by-step explanation:

Perpendicular bisector intersect at T that is the circumcenter.

since RT is a bisector or AC and AR=5 then RC=5

Circumcenter is equidistant from the vercices of the triangle so

AT≅BT≅CT

but CT is given to be CT=6 so AT=6

Vsevolod [243]3 years ago
6 0

Answer:

AT=6, RC=5

Step-by-step explanation:

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When using a debit card: A:There are always fees. B:Identification is always required. C:You still need to record transactions i
Komok [63]

Answer:

D.

Step-by-step explanation:

Since this isn't a credit card, there are no interests or fees on a debit card, so A is incorrect. B is also incorrect. You only need identification when you are withdrawing or depositing at a bank, but purchases made in stores or online do not need your identification. You also don't need to record transactions in your checkbook (but it is recommend to keep track of purchases). Modern day technology already records transaction history and all you need to do is access it online.

D is correct because if someone steals your PIN for your debit card, they could go to stores and use that money. You can dispute charges and report to the bank if that happens.

7 0
3 years ago
6x2 - 5x - 4 is equivalent to:
Sophie [7]

Answer:

<em>(</em><em>2</em><em>x</em><em> </em><em>+</em><em> </em><em>1</em><em>)</em><em> </em><em> </em><em>(</em><em>3</em><em>x</em><em> </em><em>-</em><em> </em><em>4</em><em>)</em>

Step-by-step explanation:

Solution:

  • 6x² - 5x - 4
  • 6x²- (8 - 3)x - 4
  • 6x²- 8x + 3x - 4
  • 2x (3x - 4) +1 (3x - 4)
  • (2x + 1) (3x - 4)
4 0
2 years ago
Please help ASAP! Thanks! For the figures below, assume they are made of semicircles, quarter circles and squares. For each shap
bazaltina [42]

Answer:

Part 1) A=36(\pi-2)\ cm^2

Part 2) P=6(\pi+2\sqrt{2})\ cm

Step-by-step explanation:

Part 1) Find the area

we know that

The area of the shape is equal to the area of a quarter of circle minus the area of an isosceles right triangle

so

A=\frac{1}{4}\pi r^{2}-\frac{1}{2}(b)(h)

we have that the base and the height of triangle is equal to the radius of the circle

r=12\ cm\\b=12\ cm\\h=12\ cm

substitute

A=\frac{1}{4}\pi (12)^{2}-\frac{1}{2}(12)(12)

A=(36\pi-72)\ cm^2

simplify

Factor 36

A=36(\pi-2)\ cm^2

Part 2) Find the perimeter

The perimeter of the figure is equal to the circumference of a quarter of circle plus the hypotenuse of the right triangle

<em>The circumference of a quarter of circle is equal to</em>

C=\frac{1}{4}(2\pi r)=\frac{1}{2}\pi r

substitute the given values

C=\frac{1}{2}\pi (12)

C=6\pi\ cm

The hypotenuse of right triangle is equal to (applying the Pythagorean Theorem)

AC=\sqrt{12^2+12^2}

AC=\sqrt{288}\ cm

simplify

AC=12\sqrt{2}\ cm

Find the perimeter

P=(6\pi+12\sqrt{2})\ cm

simplify

Factor 6

P=6(\pi+2\sqrt{2})\ cm

6 0
3 years ago
Latrice is given an unknown substance and is asked to identify is based on his properties. She measures its mass as 239.6grams.
Iteru [2.4K]

Answer:

density =8.87g/cm³

From chart the density shows that it is a Colsibro copper alloy, a precipitation hardening copper nickel silicon.

Step-by-step explanation:

This problem bothers on the density of substances

Given data

Mass m of substance = 239.6grams

length l=3cm

width b=3cm

height h=3cm

Volume of substance =l*b*h

=3*3*3=27cm³

We know that the density of the substance ρ=mass/volume

ρ= 239.6/27= 8.87g/cm³

8 0
3 years ago
A circle has its center at (−1, 2) and a radius of 3 units. Find the equation of the circle using the Pythagorean Theorem. PLEAS
notka56 [123]
Pythagorean Theorem is for triangles not circles. 

The equation of a circle is (x - h)² + (y - k)² = radius² where (h, k) is the center.

Plug in your given information and simplify.

(x - (- 1))² + (y - 2)² = (3)²

(x + 1)² + (y - 2)² = 9 is your equation. 
6 0
3 years ago
Read 2 more answers
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