Three times the sum of a number n and 5 is at least 17.
Answers
3(n+5)≥17 is the expression for three times the sum of a number n and 5 is at least 17.
What is an Inequality?
The relationship between two expressions or values that are not equal to each other is called inequality.
Given that three times, the sum of a number n and 5 is at least 17.
According to the question, the expression will be = 3(n+5)≥17
Hence, 3(n+5)≥17 is the expression for three times the sum of a number n and 5 is at least 17.
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Answer:
3(n+5)≥17
Step-by-step explanation:
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What times 3 gives you 16
Answers
The altitude of the triangle whose base is 3 cm longer than its altitude is 7cm.
What is triangle?
Triangle is a plane figure with three straight sides and three angles such that the sum of the angles is 180°.
Given is a triangle whose base is 3cm longer than its altitude. The area of the triangle is 35 cm².
Assume that the altitude of the triangle is 'a' cm.
The area of a tringle is given by -
A [T] = 1/2 x base x height.
Now,
Altitude of triangle = a cm
Base of triangle = (a + 3) cm
Substituting the values in the formula of area, we get -
A [T] = 1/2 x base x height
A [T] = 1/2 x a x (a + 3)
a(a + 3) = 35 x 2
a(a + 3) = 70
a² + 3a - 70 = 0
On solving the above quadratic equation, you will get two values of x -
a = - 10 and a = 7
Altitude cannot be negative. Therefore, the altitude of the triangle is 7 cm.
Therefore, the altitude of the triangle whose base is 3 cm longer than its altitude is 7cm.
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What are the coordinate of the center of the hyperbola?
A.) (3,0)
B.) (0,-30)
C.) (0,3)
D.) (-3,0)
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in our problem h=3, k= 0
so center is (3,0)
(4m)^5/3
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Answer:
hope that will help you
What is the value of x?
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Given:
Intercepted arcs of small circle:
78° and x°
Intercepted arcs of large circle:
57° and 121°
To find:
The measure of angle formed by two secants and the value of x.
Solution:
Consider a large circle:
The angle made by two secants intersecting outside a circle is half the difference between the measure of intercepted arcs.
The measure of the angle formed by two secants is 32°.
Two circles are concentric circles.
Therefore 32° is also the angle made by small circle arcs.
Multiply by 2 on both sides.
Add 78° on both sides.
The value of x is 124.
(7a+3)+(-a-5)= -16
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Combine like terms:6a-2=-16
Add 2 to both sides: 6a=-14
Divide both sides by 6: a=-14/6
Simplify: a=-7/3
6a-2=-16
6a=-14
a=-2.3333333333
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Answer:
Step-by-step explanation:
To find the measure of angle DBC, we can use the angle bisector theorem, which states that in a triangle, if a line bisects one of the angles, it divides the opposite side into segments proportional to the other two sides. In this case, BD bisects angle ABC, so:m∠ABD / m∠DBC = AB / BCWe are given:
m∠ABC = 8x
m∠ABD = 2x + 30So, we have:(2x + 30) / m∠DBC = AB / BCNow, we need to express AB / BC in terms of x. To do that, we'll use the fact that angles in a triangle add up to 180 degrees:m∠ABC + m∠ABD + m∠DBC = 180Substitute the given angle measures:8x + (2x + 30) + m∠DBC = 180Combine like terms:10x + 30 + m∠DBC = 180Now, isolate m∠DBC:m∠DBC = 180 - 10x - 30
m∠DBC = 150 - 10xNow, we can substitute this expression for m∠DBC back into our proportion:(2x + 30) / (150 - 10x) = AB / BCNow, you can solve for m∠DBC:Cross-multiply:(2x + 30)(BC) = (150 - 10x)(AB)Now, you would need more information about the relationship between AB and BC or additional angle measures to solve for the exact value of m∠DBC. Without that additional information, you can't determine the specific angle measure.