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andrew-mc [135]
3 years ago
8

Plzs help need by today!

Mathematics
1 answer:
patriot [66]3 years ago
7 0

Answer:

x=30

Step-by-step explanation:

3x + 36 + 54 = 180

3x = 180 - 36 - 54

3x = 90

x = 90 ÷ 3

x = 30

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Name a polygon that would have a
liubo4ka [24]

Answer:

The polygon has 43 sides . The polygon can be called 43 - gon or tetracontakaitrigon.

Step-by-step explanation:

In a regular polygon all the sides are equal and also all the angles are equal. The sum of the interior angle of a polygon can be calculated with the following formula;

sum of interior angle = (n−2) × 180°

where

n = number of sides

The sum of the interior angle should be less than 7500 and greater than 7201.

sum of interior angle = (n−2) × 180°

less than 7500 and greater than 7201 = (43 - 2) × 180

less than 7500 and greater than 7201 = 41 × 180

less than 7500 and greater than 7201 = 7380 °

The polygon has 43 sides . The polygon can be called 43 - gon or tetracontakaitrigon.

3 0
3 years ago
I put a ladder 1.5m away from a tree. the ladder is inclined at 70 degrees about the horizontal. What is the height of the tree?
lyudmila [28]

Answer:

4.121216129m

Step-by-step explanation:

use sohcahtoa

tan(70) x 1.5m = 4.121216129m

8 0
3 years ago
An=-31+(n-1)-11 find the eleventh term
Lilit [14]

An=-31+(n-1)-11 find the eleventh term

a11 = -31 + (-11) (11-1)

a11 = -31 +-11(10)

a11 =-31 +-110

a11 = -142

3 0
4 years ago
Malin and Shawn begin with the same number, t. Malin subtracts 6 from t and then divides the result by 6. Shawn adds 7 to t and
uysha [10]
T

adds 6
t-6

divides by 6
(t-6)/6



shawn
7+t

divide by 7
(7+t)/7


theyare equal


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times 42 both sides
7(t-6)=6(t+7)
distribute
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7 0
3 years ago
Read 2 more answers
Given: KL ║ NM , LM = 45, m∠M = 50° KN ⊥ NM , NL ⊥ LM Find: KN and KL
Mice21 [21]

Answer:

KL=45\tan 50^{\circ}\sin 50^{\circ}\approx 41.08\\ \\KN=45\sin 50^{\circ}\approx 34.47

Step-by-step explanation:

Given:

KL ║ NM ,

LM = 45

m∠M = 50°

KN ⊥ NM  

NL ⊥ LM

Find: KN and KL

1. Consider triangle NLM. This is a right triangle, because NL ⊥ LM. In this triangle,

LM = 45

m∠M = 50°

So,

\tan \angle M=\dfrac{\text{opposite leg}}{\text{adjacent leg}}=\dfrac{NL}{LM}=\dfrac{NL}{45}\\ \\NL=45\tan 50^{\circ}

Also

m\angle LNM=90^{\circ}-50^{\circ}=40^{\circ} (angles LNM and M are complementary).

2. Consider triangle NKL. This is a right triangle, because KN ⊥ NM . In this triangle,

NL=45\tan 50^{\circ}

m\angle KLN=m\angle LNM=40^{\circ} (alternate interior angles)

m\angle KNL=90^{\circ}-40^{\circ}=50^{\circ} (angles KNL and KLN are complementary).

So,

\sin \angle KNL=\dfrac{\text{opposite leg}}{\text{hypotenuse}}=\dfrac{KL}{LN}=\dfrac{KL}{45\tan 50^{\circ}}\\ \\KL=45\tan 50^{\circ}\sin 50^{\circ}\approx 41.08

and

\cos \angle KNL=\dfrac{\text{adjacent leg}}{\text{hypotenuse}}=\dfrac{KN}{LN}=\dfrac{KN}{45\tan 50^{\circ}}\\ \\KN=45\tan 50^{\circ}\cos 50^{\circ}=45\sin 50^{\circ}\approx 34.47

3 0
3 years ago
Read 2 more answers
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