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Aloiza [94]
3 years ago
9

Rays BA and BC are perpendicular. Point D lies in the interior of ∠ABC. If m∠ABD=(3r+5)° and m∠DBC=(5r−27)°, find m∠ABD and m∠DB

C.
m∠ABD= ?

m∠DBC= ?
Mathematics
1 answer:
padilas [110]3 years ago
8 0

Answer:

m<ABD =1.6 rep

m<DBC= -5.4

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ANSWER ASAP ITS FOR FINALS
Roman55 [17]

Answer:

9. 66°

10. 44°

11. 2\sqrt{7}

12. 2\sqrt{3}

13. 27.3

14. 33.9

15. 22°

16. 24°

Step-by-step explanation:

9. Add 120 + 80 (equals 200) and subtract that from 360 (Because all angles in a quadrilteral add to 360°), this equals 160. Plug the same number in for both variables in the two other angle equations until the two angles add to 160. For shown work on #9, write:

120 + 80 = 200

360 - 200 = 160

12(5) + 6 = 66°

19(5) - 1 = 94°

94 + 66 = 160

10. Because the two sides are marked as congruent, the two angles are as well. This means the unlabeled angle is also 68°. The interior angles of a triangle always add to 180°, so add 68+68 (equals 136) and subtract that from 180, this equals 44. For shown work on #10, write:

68 x 2 = 136

180 - 136 = 44

11. Use the Pythagorean theorem (a² + b² = c²) (Make sure to plug in the hypotenuse for c). Solve the equation. For shown work on #10, write:

a² + b² = c²

a² + 6² = 8²

a² + 36 = 64

a² = 28

a = \sqrt{28}

a = 2\sqrt{7}

12. (Same steps as #11) Use the Pythagorean theorem (a² + b² = c²) (Make sure to plug in the hypotenuse for c). Solve the equation. For shown work on #11, write:

a² + b² = c²

a² + 2² = 4²

a² + 4 = 16

a² = 12

a = \sqrt{12}

a = 2\sqrt{3}

13. Use SOH CAH TOA and solve with a scientific calculator. For shown work on #13, write:

Sin(47°) = \frac{20}{x}

x = 27.3

14. Use SOH CAH TOA and solve with a scientific calculator. For shown work on #14, write:

Tan(62°) = \frac{x}{18}

x = 33.9

15. Use SOH CAH TOA and solve with a scientific calculator. For shown work on #15, write:

cos(θ) = 52/56

θ = cos^-1 (0.93)

θ = 22°

16. (Same steps as #15) Use SOH CAH TOA and solve with a scientific calculator. For shown work on #16, write:

sin(θ) = 4/10

θ = sin^-1 (0.4)

θ = 24°

Good luck!!

8 0
3 years ago
What is 9,846,000,000,000 expressed in scientific notation? A. 9.846 × 10 B. 98.46 × 10 C. 9.846 × 10 D. 98.46 × 10
Talja [164]
9,846,000,000,000 = <span>9.846 x 10^12

answer

</span>9.846 x 10^12
5 0
3 years ago
Read 2 more answers
Find the lateral surface area of the figure. A 798 B 210 C 816.8 D 69.7
gizmo_the_mogwai [7]

the lateral surface area of the figure is 660 sq ft

(but the answer is not matching with the options)

Step-by-step explanation: this figure is called cylinder. the lateral surface area means the area of curved surface.

here the diameter is 10 ft

so radius = diameter/2 = 10/2 ft = 5ft

again, height = 21ft

now the lateral surface area = perimeter of the circular surface X height

= 2X pie X r X h ( here r is the radius and h is height and we will take pie as 22/7)

= 2 X (22/7) X 10 X 21 sq ft

= 2 X 22 X 5 X 3 sq ft

=660 sq ft

( suggest you to recheck the options)

8 0
3 years ago
Hi Mehta06 heres my question that i told you​
Oxana [17]

Answer:

1. WEA and and TSE

2.WES

3.50

4 0
2 years ago
Read 2 more answers
What’s the area? For this
castortr0y [4]

Answer: 460.61

Step-by-step explanation:

5 0
3 years ago
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