Answer:
A and D
Step-by-step explanation:
3 - 5x > 2
= -5x > 2-3
= -5x > -1
= x < 1/5
Answer:
see explanation
Step-by-step explanation:
the ratio of the opposite interior angles = 8 : 9 = 8x : 9x
The exterior angle of a triangle = sum of the opposite interior angles, hence
8x + 9x = 119
17x = 119 ( divide both sides by 17 )
x = 7
8 parts = 8x = 8 × 7 = 56
9 parts = 9x = 9 × 7 = 63
The sum of the 3 angles in a triangle = 180°
subtract the sum of the 2 angles from 180 for third angle in triangle
180° - (56 + 63)° = 180° - 119° = 61°
The 3 angles of the triangle are 56°, 61°, 63°
Answer:
<A = 76°
<B = 63°
<C = 41°
Plug in the value of x
<C = 34 + 7
<C = 41°
Step-by-step explanation:
(sum of ∆)
Solve for x

Add like terms

Subtract 78 from each side


Divide both sides by 3
x = 34
<A = 2x + 8
Plug in the value of x
<A = 2(34) + 8 = 76°
<B = 63°
<C = x + 7
Plug in the value of x
<C = 34 + 7
<C = 41°
Complete question :
Ally sliced 32 kg of watermelon for a party. She divided the watermelon slices equally between 8 large bowls.
How many grams of watermelon did Ally put in each bowl?
Answer:
4000g
Step-by-step explanation:
Given the following :
Mass of water melon sliced = 32kg
Number of bowls water melon was shared equally in = 8
Therefore, mass of water melon on each bowl :
Mass of water melon / number of bowls
= 32kg / 8
= 4kg
Note:
1000g = 1kg
Therefore,
4kg = (4 * 1000)
= 4000 grams
Therefore, amount in gram of watermelon put in each bowl is 4000g
Using the normal distribution, we got that expression for the z-score of her test score is

<h3>What is Normal
Probability Distribution?</h3>
it's a type of probability distribution which is symmetric about the mean, it gives data near the mean are more frequent than data far from the mean.
Given that mean =
and standard deviation =
X=73
we know that formula of z-score is

Hence Z-score can be calculated as

Using the normal distribution, we got that expression for the z-score of her test score is

To learn more about the normal distribution visit : brainly.com/question/24663213