All categories

1 year ago

Answer my question pleaSE, I will give you brainlest!

Mathematics

2 answers:

Marina CMI [18]1 year ago

8 0

45=2x +x
X=number of friends the boy has
45=3x
45/3=15
x=15
The boy has 15 friends and the girl has 30 friends

Arlecino [84]1 year ago

4 0

Answer: 30

Step-by-step explanation: So clearly we want 45 to be divided into x and 2x. Because the sum of the two parts is 45, so x + 2x = 45 which gives us the value of x = 15.

So the boy has 15 while the girl has 30

You might be interested in

Suppose that public opinion in a large city is 55% in favor of increasing taxes to support renewable energy and 45% against such

Harman [31]

Answer:

The approximate probability that more than 360 of these people will be against increasing taxes is P(Z> 0.6-0.45)

√0.45*0.55/600

The right answer is B.

Step-by-step explanation:

According to the given data we have the following:

sample size, h=600

probability against increase tax p=0.45

The probability that in a sample of 600 people, more that 360 people will be against increasing taxes.

We find that P(P>360/600)=P(P>0.6)

The sample proposition of p is approximately normally distributed mith mean p=0.45

standard deviation σ=√P(1-P)/n=√0.45(1-0.45)/600

If x≅N(u,σ∧∧-2), then z=(x-u)/σ≅N(0,1)

Now, P(P>0.6)=P(P-P > 0.6-0.45)

σ √0.45*0.55/600

=P(Z> 0.6-0.45)

√0.45*0.55/600

8 0

2 years ago

Which congruence theorem can be used to prove △BDA ≅ △DBC? Triangles B D A and D B C share side D B. Angles C B D and A D B are

Tomtit [17]

Answer:

A. Hypotenuse-leg (HL) congruence.

HL, when you have 2 right triangles and their hypotenuses are congruent you are able to say HL

Step-by-step explanation:

We know that the hypotenuse-leg theorem states that if the hypotenuse and one leg of a right triangle are congruent to hypotenuse and corresponding leg of another right triangle, then the triangles are congruent.

hypotenuse(AB) of △BDA equals to hypotenuse (CD) of △DBC.

BDA and DBC share a common side DB.

Using Pythagorean theorem we will get,

$CD^{2}=DB^{2}+BC^{2}...(1) \\\\AB^{2}=DB^{2}+AD^{2}...(2)$

We have been given that CD=AB, Upon using this information we will get,

$DB^{2}+BC^{2}=DB^{2}+AD^{2}$

Upon subtracting $DB^{2}$ from both sides of our equation we will get,

$BC^{2}=AD^{2}\\\\BC=AD$

<h3>Therefore, by HL congruence △BDA ≅ △DBC.</h3>

6 0

2 years ago

Read 2 more answers

Given that line s is perpendicular to line t, which statements must be true of the two lines? Check all that apply.

artcher [175]

The basis to respond this question are:

1) Perpedicular lines form a 90° angle between them.

2) The product of the slopes of two any perpendicular lines is - 1.

So, from that basic knowledge you can analyze each option:

a.Lines s and t have slopes that are opposite reciprocals.

TRUE. Tha comes the number 2 basic condition for the perpendicular lines.

slope_1 * slope_2 = - 1 => slope_1 = - 1 / slope_2, which is what opposite reciprocals means.

b.Lines s and t have the same slope.

FALSE. We have already stated the the slopes are opposite reciprocals.

c.The product of the slopes of s and t is equal to -1

TRUE: that is one of the basic statements that you need to know and handle.

d.The lines have the same steepness.

FALSE: the slope is a measure of steepness, so they have different steepness.

e.The lines have different y intercepts.

FALSE: the y intercepts may be equal or different. For example y = x + 2 and y = -x + 2 are perpendicular and both have the same y intercept, 2.

f.The lines never intersect.

FALSE: perpendicular lines always intersept (in a 90° angle).

g.The intersection of s and t forms right angle.

TRUE: right angle = 90°.

h.If the slope of s is 6, the slope of t is -6

FALSE. - 6 is not the opposite reciprocal of 6. The opposite reciprocal of 6 is - 1/6.

So, the right choices are a, c and g.

5 0

2 years ago

Read 2 more answers

Which of the following statements must be true in order for the line represented by the equation y = mx + b to have a negative x

inn [45]

First option: The signs of the values of m and b are the same.

6 0

2 years ago

Read 2 more answers

Amina used the quadratic formula to solve an equation. Her result shows two solutions that are complex numbers with imaginary pa

Mama L [17]

A quadratic equation has either two different real roots, one real root, or two conjugate complex roots (this is the case when the discriminant is negative, i.e. when you have no real roots).

Two conjugate complex roots have the same real part and opposite imaginary parts. So, the solutions to Amina's equation will be in this form:

$a+bi,\ \ a-bi$

For some $a,b\in\mathbb{R},\ b\neq 0$

6 0

1 year ago