Every triangle in the figure at right is equilateral. What is the measure of ∠AGE?Step:
1. Use the corollaries of the isosceles triangle theorem. Each angle in an equilateral triangle measures 60° 2. Use those two angles to find m∠AGE.
Problem:
Answers
Answer: m∠AGE is 120 degrees
Step-by-step explanation:
every single triangle has an overall angle measurement of 180°, which means that all of the angles in the triangle add up to 180°.
an equilateral triangle's sides all have the same measurements, as do their angles.
this means that the measurement of one angle on one equilateral triangle is 180°÷3, which equals 60° (but your problem already gave you that).
∠AGE is two angles of an equilateral triangle added together, which means that ∠AGE is 60°+60°, which equals 120°.
so the answer is 120°.
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Determine whether it is possible to form a triangle using each set of segments with the given measurements.7.4 centimeters, 8.1 centimeters, 9.8 centimetersYes or No.
Let the random variable X represent the winnings at one play of game A. The mean, H. Of X is known to be -$0.42 and its standard deviation, o, is $0.26. Let the random variable Y represent the winnings at one play of game B. The mean, , of Y is known to be -$0.42 and its standard deviation, o, is $0.21. You have decided to play one of these two games just once. At which game are you more likely to make a profit (i.E., to not lose money)? Explain your thinking.
Answers
Answer:
1/(b^2)
Step-by-step explanation:
using exponential rules, we know that the problem can be simplfied by subtracting the exponents
b^(11-9)
b^(-2)
which then just simplifies to
1/(b^2)
represents the amounts of money a student can bring.
Answers
Answer:
$65 ≤ x ≤ $135
Step-by-step explanation:
Now, one should know the meaning of compound inequality. A compound inequality is an inequality that simply combines the two simple inequalities.
Now, in an inequality, three relations are performed, equal to, less than, and greater than. You can combine 'equal to' with 'less than' or 'greater than' according to the situation given.
Notice that in the given sign
≤
the value on the left side of the pointed side will be small or lesser than the value on the right side. Also notify that if inverted, like this ≥
The value of the left side will be greater. This means the value at the pointed side will always be smaller. The lower bar is a sign of equal to
if this is written
x ≤ 3
It means that x can be equal to three or any value less than 3 means 2,1,0,-1, etc.
Now in the question given, it is stated that money should be not less than $65 means it can either be $65 or more but not less than it. Let's assume 'x' as the amount required,
So one inequality is
$65 ≤ x
The second condition which is amount should be no more than $135, means it can be $135 or less, so inequality is
x ≤ $135
Remember that we use AND in the answer because both statements of inequality need to be fulfilled or satisfied.
−9x −12 ≤ 42
Answers
Number line 4 will represent the solution set of given inequality
−9x −12 ≤ 42.
What is inequality?
When two numbers or algebraic expressions are in opposition to one another, this is known as an inequality. It can be expressed as greater than, greater than or equal to, less than, or less than or equal to.
Given:
−9x −12 ≤ 42
-9x-12+12≤42+12
-9x ≤ 54
-9x/-9 ≤ 54/-9
x ≤ -6
To know more about inequality please visit:
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Answer:
Number line 4
Step-by-step explanation:
−9x −12 ≤ 42
-9x-12+12≤42+12
-9x≤54
-9x/-9≤54/-9
x≤-6
b)1
c)-5
d)-10
Answers
The solution is Option A.
The value of x in the equation 4x - 5 = -6x + 15 is x = 2
What is an Equation?
Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
Let the equation be = A
Now , the value of equation A is
4x - 5 = -6x + 15 be equation (1)
Now , on simplifying the equation , we get
4x - 5 = -6x + 15
Adding 6x on both sides of the equation ,we get
10x - 5 = 15
Adding 5 on both sides of the equation , we get
10x = 20
Divide by 2 on both sides of the equation, we get
x = 20/10
x = 2
Therefore , the value of x is 2
Hence , The value of x in the equation 4x - 5 = -6x + 15 is x = 2
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4x + 6x = 15 + 5 calculate
10x = 20 divide all by 10
x = 2 ALTERNATIVE A
B. The main cause of Type 2 Diabetes
C. Condition that makes it hard for the body to control the level of glucose in the blood.
D. Damage to the pancreas caused by one’s own antibodies
E. The elevation of glucose levels in the blood
F. Found to help with the treatment of clinical depression
G. Organ where insulin is produced
H. “Good” cholesterol
I. 90% to 95% of the cases of diabetes in America
J. Hardening of the arteries caused by a build-up of fatty materials
1. Diabetes (1 point)
2. Atherosclerosis (1 point)
3. Hyperglycemia (1 point)
4. HDL (1 point)
5. Obesity (1 point)
6. Type 1 (1 point)
7. Insulin (1 point)
8. Type 2 (1 point)
9. Pancreas (1 point)
10. Regular aerobic exercise (1 point)
Answers
A. Insulin
B. Diabetes
C. Hyperglycemia
D.
E.
F.
G .Pancreas
H. HDL
I. Obesity
J. Atherosclerosis
E. Hyperglycemia
F. Regular aerobic exercise