Answer:
15.71 is the total answer after rounding off
The measure of angle C is 89 degrees.
<u>Step-by-step explanation:</u>
The given polygon ABCD is a quadrilateral.
<u>The property of a quadrilateral :</u>
The sum of the consecutive angles add to 180°.
In this quadrilateral, the angles B and C are consecutive angles. So, the sum of angle B and angle C is equal to 180 degree.
Given that,
- The measure of angle B = 2x+3
- The measure of angle C = 2x+1
<u>To find the value of x :</u>
m∠B + m∠C = 180
(2x+3) + (2x+1) = 180
4x + 4 = 180
4x = 180 - 4
4x = 176
x = 176/4
x = 44
<u>To find m∠C :</u>
m∠C = 2x + 1
⇒ 2(44)+1
⇒ 88+1
⇒ 89°
The measure of angle C is 89 degrees.
<span>This solution might be a bit out there, but it should probably work. For this, we will consider sequencesto have an invisible "0th" term to make calculation easier.</span>Missing: <span>quadratic</span>
The value of m∠M is 112°
Step-by-step explanation:
In the parallelogram NPMQ, opposite angles ∠P=∠M.
To get the value of the angles, equate the two expressions;
(6x-2)°=(4x+36)°
6x-2=4x+36 ------ collect like terms
6x-4x=36+2
2x=38
x=38/2 =19
So, ∠M= (6x-2)° = (6×19 - 2)° = 112°
Learn More
Angles in a parallelogram : brainly.com/question/11611093
Keyword : angles
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Answer:
Cost to construct the road = 775000 rupees
Step-by-step explanation:
Square field has a side = 150 m
Area of the field = (Side)²
= (150)²
= 22500 m²
Length of the park with road around the field = 150 + 2×(width of the road)
= 150 + (2×5)
= 160 m
Similarly, width of the park with road around the field = 160 m
Area of the park with road = (Side)²
= (160)²
= 25600 m²
Area of road = Area of the park with road - Area of the park
= 25600 - 22500
= 3100 m²
Since, cost of constructing the road = 250 rupees per square meter
Cost to construct the road with the given area = 250 × 3100
= 775000 rupees
