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3 years ago

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Mathematics

2 answers:

Liono4ka [1.6K]3 years ago

3 0

Answer:

angle ABC is 48⁰

Step-by-step explanation:

angle BCD will be 111⁰ it will be equal to DAB.

111+111+90=312⁰

kite is a quadrilateral so its angles add up to 360⁰

360-312=48⁰

Vaselesa [24]3 years ago

3 0

Step-by-step explanation:

ΔA = ΔC = 111° (kite property-opposite Δ equal)

ΔD = 90° ------ ( given )

ΔA + ΔB + ΔC + ΔD = 360°

111° + ΔB + 111° + 90° = 360°

312° + ΔB = 360°

ΔB = 360° - 312°

ΔB = 48°

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3 years ago

The diameter of the circle is 9.7 m . Calculate the length of its circumference. Round to the nearest tenth and remember to use

RSB [31]

Answer:

30.4m

Step-by-step explanation:

Diameter(D) = 2r (radius)

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2 years ago

A regular decagon has a side length of 4 centimeters long if the decagon is divided into 10 congruent triangles each has an appr

ratelena [41]

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4 0

3 years ago

Write the standard equation for the circle center (-6,8) that passes through (0,0)

Reil [10]

Answer:

Step-by-step explanation:

The equation of a circle in standard form is

(x - h)² + (y - k)² = r²

where (h, k) are the coordinates of the centre and r is the radius

here (h, k) = (- 6, - 8), thus

(x + 6)² + (y + 8)² = r²

The radius is the distance from the centre to a point on the circle

Calculate r using the distance formula

r = √ (x₂ - x₁ )² + (y₂ - y₁ )²

with (x₁, y₁ ) = (- 6, - 8) and (x₂, y₂ ) = (0, 0)

r = $\sqrt{(0+6)^2+(0+8)^2}$ = $\sqrt{36+64}$ = $\sqrt{100}$ = 10

Hence

(x + 6)² + (y + 8)² = 100 → D

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3 years ago

NO SCAM. PLEASE SHOW WORK. WILL GIVE BRAINLY TO CORRECT ANSWER.

sergeinik [125]

Answer:

$140$

Step-by-step explanation:

A regular polygon is a shape with equal sides and angles. Because of this, we can write the following equation to set two sides equal to each other:

$3a+b+3=2a+2b+6$

Solving, we will get a in terms of b:

$3a=2a+b+3,\\a=b+3$

Now we can substitute a for (b+3) into our equation:

$5a-2b+1=2a+2b+6,\\5(b+3)-2b+1=2(b+3)+2b+6,\\3b+16=4b+12,\\-b=-4,\\b=\boxed{4}$

Therefore, the length of each side of this polygon is $5(4+3)-2(4)+1=28$ .

Since the perimeter of the polygon consists of all five sides, the perimeter is:

$p=28\cdot 5 =\boxed{140}$

6 0

3 years ago

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