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Elden [556K]
3 years ago
5

Help please less than 19 minutes to turn in

Mathematics
1 answer:
vagabundo [1.1K]3 years ago
3 0
Angle K = angle M

(4x-1)=(2x+27)

4x-2x=27+1

2x=28

x=14

K=4x-1 then 4(14)-1
55 degrees
M=2x+27 then 2(14) +27
55 degrees
K+M+L =180
55+55+L=180
110+L=180
L=70 degrees
Therefore K=55 degrees M=55 degrees L=70 degrees
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Step-by-step explanation:

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4vir4ik [10]
Answer :

6{y}^{4} {z}^{2} + 12 {y}^{3} {z}^{2}-3 {y}^{3} {z}+3 {y}^{2} {z}^{2}

Step-by-step explanation :

To find the product of

3 {y}^{2} z(2 {y}^{2} z + 4yz - y + z)

First we expand the bracket ,

it implies that, we use the expression outside the bracket to multiply individual expressions inside the bracket.

Hence

3 {y}^{2} z(2 {y}^{2} z + 4yz - y + z)

= 3 {y}^{2} z(2 {y}^{2} z) + 3 {y}^{2} z(4yz) - 3 {y}^{2} z(y )+3 {y}^{2} z( z)

we now apply the law of indices

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3 0
3 years ago
HELP ASAP WITH THIS QUESTION
alexgriva [62]
Hey there (again)

x = 2y  \\ y = -2  \\ x = 2(-2) \\x= -4 \\ \\ \\ w + xy + 4x^2  = 2\\ w+-4(-2) + 3(-4)^2 = 2 \\ w + 8 + 3(16) = 2 \\ w + 8 + 48 = 2 \\ Subtract56: w + 56 =2 \\ 56 - 56 (Cancel) \\ 2 - 56 = -54 \\ w = -54

Answer: B  the simplification performed in step 2 is invalid or incorrect

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2014-2015

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2 years ago
Tomato as a taste modifier. Miraculin—a protein naturally produced in a rare tropical fruit—can convert a sour taste into a swee
Minchanka [31]

Answer:

a) .033  b) .4678 c) 100

Step-by-step explanation:

Distribution of miraculin produced is normal. To answer question we need to find the z-score of 100g, 110g and 120g miraculin

General formula for z score is given by

z=\frac{X-M}{s} where

  • X is the miraculin produced (120,110,100)
  • M is the mean miraculin produced for a partucilar tomato plant, which is 105.3
  • s is the standard deviation of the sample, which is 8.0

a)

z-score for 120 g miraculin is \frac{120-105.3}{8} =1.8375 then

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b)

z-score for 110 g miraculin is \frac{110-105.3}{8} = 0.5875

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c)

if P(x < a) = 0.25 then corresponding z score for a is -0.6745. From the above formula we can calculate a:

\frac{a-105.3}{8} =-0.6625 which gives a= 100

8 0
3 years ago
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