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Sphinxa [80]
3 years ago
6

Given: t is tangent at B

Mathematics
2 answers:
oksian1 [2.3K]3 years ago
8 0

Answer:

70

Step-by-step explanation:

Given

∠PDB = 110°

PDis the tangent to the circle whose centre is E

Construction

Join points D and E.

∠DPE= 90° [Since angle in a semi circle is 90°]

Also ∠PDE = 90° [Since radius ⊥ tangent]

From the figure we have,

∠PDB=∠PDE + ∠DBE

i.e. 110° = 90° + ∠DBE

Therefore, ∠DBE =20°

Now in ΔBED, BE = ED [Radii]

So, ∠EDB = ∠EBD =20°

In ΔBPD, we have

∠DPE = 90° & ∠DBE = 20°

Therefore, ∠DPB = 70°

Bezzdna [24]3 years ago
6 0

Answer:

70 is the correct answer

Step-by-step explanation:

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What is the slope of the line that contains these points?
worty [1.4K]
M=-1-1/10-2=-2/8= -1/4
5 0
2 years ago
In the rectangle below, SU= 4x-2, RT = 5x-10, and m ZSVT= 84º.
stepladder [879]

Answer:

RV = 15, ∠ VUR = 48°

Step-by-step explanation:

The diagonals of a rectangle are congruent , so

RT = SU , that is

5x - 10 = 4x - 2 ( subtract 4x from both sides )

x - 10 = - 2 ( add 10 to both sides )

x = 8

Then

RT = 5x - 10 = 5(8) - 10 = 40 - 10 = 30

The diagonals bisect each other , then

RV = 0.5 × 30 = 15

---------------------------------------------------------------

∠ RVU = ∠ svt = 84° ( vertical angles )

RV = UV ( diagonals are congruent and bisect each other )

Then Δ RVU is isosceles with base angles congruent , then

∠ VUR = \frac{180-84}{2} = \frac{96}{2} = 48°

3 0
3 years ago
Choose the best decimal to represent 5 3/7
WINSTONCH [101]

Answer:

5.4285

Step-by-step explanation:

Calculator

3 0
3 years ago
NEED HELP ASAP!! Our teacher never taught my class this and its on our homework. someone please help!!! i'll give brainliest to
Dennis_Churaev [7]

Answer:

  • m∠ABX = (12+4y)°
  • equation: (12+4y) +y = 92
  • m∠ABX = 76°
  • m∠CBX = 16°

Step-by-step explanation:

The reason this is titled "Mathematical Connections" is because you're supposed to draw upon all of the things you have learned about angles and equations and put them together to solve this problem. No problem-specific teaching should be necessary.

__

The words and diagram tell you that ...

  m∠ABX + m∠CBX = 92°

They also tell you that ...

  m∠CBX = y°.

The words tell you that m∠ABX = 12° + 4(m∠CBX). Since m∠CBX = y°, this means ...

  m∠ABX = (12 +4y)° . . . . . this expression fills the box on the diagram

__

So, we have expressions involving y for each of the parts of angle ABC. We can substitute those expressions into the angle sum equation to get

  (12 +4y) + (y) = 92 . . . . . . dropping the degree symbol, using only numbers

__

Using what you know about algebra and 2-step equations, you can solve this to find the value of y.

  5y +12 = 92 . . . . . simplify

  5y = 80 . . . . . . . . subtract 12

  y = 16 . . . . . . . . . . divide by 5

This value can be substituted back into the expressions for angle measure:

  m∠CBX = y° = 16°

  m∠ABX = (12+4y)° = (12 +4·16)° = 76°

4 0
3 years ago
Solve the proportional equation below: 9/10 = 8/a+6
brilliants [131]
A=3 is te answer  then the  equation will be proportioanl
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