All categories

2 years ago

I’m revising a test, can someone please help me?

Mathematics

1 answer:

sergejj [24]2 years ago

3 0

Answer:

142°

Step-by-step explanation:

Sum of interior angles of a polygon= (n -2) ×180°, where n is the number of sides of the polygon

Since this polygon has 5 sides, n= 5.

Sum of interior angles

= (5 -2) ×180°

= 3 ×180°

= 540°

Sum of interior angles= 540°

5x +8+5x +10 +6x +15 +7x +2 +2x +5= 540

Grouping like terms together:

5x +5x +6x +7x +2x +8 +10 +15 +2 +5= 540

Simplify:

25x +40= 540

Bringing all constants to one side of the equation:

25x= 540 -40

25x= 500

Divide both sides by 25:

x= 500 ÷25

x= 20

The angle (7x +2)° is the largest interior angle in this polygon.

7x +2

= 7(20) +2

= 142

Thus, the largest interior angle is 142°.

<u>Check</u><u>:</u>

5x +8= 5(20) +8= 108

5x +10= 5(20) +10= 110

6x +15= 6(20) +15= 135

2x +5= 2(20) +5= 45

The other interior angles are 108°, 110°, 135° and 45°. Hence 142° is the largest interior angle in this polygon.

You might be interested in

Maas has a bank account with less than $400 in it.his bank pays no interest on that account,and charges $2 per month for each mo

jasenka [17]

Answer:

400 - 2 (24 months) = $352

Step-by-step explanation:

7 0

3 years ago

A bunch of bananas cost $4, a pineapple cost $2 more than a bunch of bananas, and 4 apples cost one-half of a pineapple.1. Write

Bumek [7]

1. b+2=p. 4+2=p. 6=p.
2. p/2=a. 6/2=a. 3=a
3. b-a=x. 4-3=x. 1=x
I'm in HS but this seems like it is the answer. If you need more explanation ask.

7 0

3 years ago

An isosceles trapezoid is a quadrilateral with two congruent legs and a pair of parallel bases. Prove the base angles of an isos

Alex_Xolod [135]

BE is congruent to overline CF since they are altitudes of the same trapezoid(S). AB is congruent to overline CD (Given) AE is congruent to overline FD by the Hypotenuse Leg Theorem. triangle ABC is congruent to triangle DCF (SSS Triangle Congruence) angle A is congruent to angle D since corresponding parts of congruent triangles are congruent.

5 0

3 years ago

Question 1 (1 point)

KatRina [158]

Answer:

97.2

Step-by-step explanation:

5 0

3 years ago

Read 2 more answers

A certain chalkboard manufacturer determines that their largest blackboard model has a mean length of 5.00 m and a standard devi

Igoryamba

Answer:

23 chalkboards

Step-by-step explanation:

Given:

Mean length = 5 m

Standard deviation = 0.01

Number of units ordered = 1000

Now,

The z factor = $\frac{\textup{x - Mean}}{\textup{standard deviation}}$

The z factor = $\frac{\textup{4.98 - 5}}{\textup{0.01}}$

Z = - 2

Now, the Probability P( length < 4.98 )

Also, From z table the p-value = 0.0228

therefore,

P( length < 4.98 ) = 0.0228

Hence, out of 1000 chalkboard ordered (0.0228 × 1000) = 23 chalkboard are likely to have lengths of under 4.98 m.

7 0

3 years ago