Consecutive odd integers means that the equation is
(x)+(x+2)+(x+4)+(x+6)+(x+8)=-65
add like terms
5x+20=-65
subtract 20 from both sides
5x=-85
divide both sides by 5
x=-17
so x+2=-15
x+4=-13
x+6=-11
x+8=-9
so they are (-9,-11, -13, -15, -17)
To begin to solve this problem, we want to find out what ingredients we need to make a single pancake. To do that, we need to use the information already given (what it takes to make 6 pancakes), and divide it by 6.
That means that it takes:
Eggs: 2 ÷ 6 = 1/3
Milk (cups): 1.5 ÷ 6 = 1/4
Pancake Mix (cups): 1/3 ÷ 6 = 1/18
To make 1 pancake.
Now let's look at what it takes to make the number of pancakes with the ingredients we have, 5 eggs, 4 cups of milk (doing the conversion) and 1.5 cups of pancake mix. To find out how many pancakes we can make, we need to know how many times of each ingredient of the unit recipe is in this recipe.
We get:
Eggs: 5 ÷ (1/3) = 15
Milk: 4 ÷ (1/4) = 16
Mix: 1.5 ÷ (1/18) = 27
Looking at these, we take the smallest of these numbers (because we can't have any partial pancakes). That means that we can make 15 pancakes with what's provided to us.
Answer:
The answer is 9/11.
Step-by-step explanation:
To find the answer you'd first add up how many patients you have:
80+10+20 = 110.
Now find out that how many patients are taking a real drug, which is represented by 80+10 = 90.
So, the probability of a patient NOT getting a placebo is 90/110
Simplified would be 9/11
Thus the answer is 9/11....
With the given triangles ΔRST and ΔXYZ, it is equilateral triangles and the ratio of the perimeter is 1:3
Perimeter ΔRST/ Perimeter ΔXYZ = 1/3
We are asked to solve for the area of ΔXYZ when the area of ΔRST is 10.825 in². The solution is shown below:
Area ΔRST/ Area ΔXYZ = 1/3
10.825 / Area ΔXYZ = 1/3
Area ΔXYZ = 3* 10.825
Area ΔXYZ= 32.475 in²
The statements that are true regarding the angles formed by the transversal and parallel lines are:
A. m∠1 = 70°.
B. m∠2 = 110°
C. m∠6 = 70°.
E. m∠9 = 50°
H. m∠16 = 130°
<h3>How to Find the Angles Formed by a
Transversal and Parallel Lines?</h3>
Given the following angle measures formed when two parallel lines ( being cut by two transversals:
Using relevant theorems, let's determine which of the statements are true:
Angles 4 and 1 are vertical angles, therefore they are congruent based on the vertical angles theorem.
m∠4 = m∠1
m∠1 = 70°.
m∠2 = 180 - m∠4 [linear angles theorem]
m∠2 = 180 - 70
m∠2 = 110°
m∠6 = m∠4 [base on the alternate interior angles theorem]
m∠6 = 70°.
m∠9 = 180 - m∠12 [based on the linear angles theorem]
m∠9 = 180 - 130
m∠9 = 50°
m∠16 = m∠12 [based on the corresponding angles theorem]
m∠16 = 130°
The statements that are true are:
A. m∠1 = 70°.
B. m∠2 = 110°
C. m∠6 = 70°.
E. m∠9 = 50°
H. m∠16 = 130°
Learn more about transversal and parallel lines on:
brainly.com/question/24607467
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