MATHEMATICS HIGH SCHOOL

What is the value of the x in this equation. 7x = 14

Answers

Answer 1

Answer:

Answer:

Step-by-step explanation:

7x=14

$(7x)/(7) = (14)/(7)$

x=2

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Four milliliters of ink A is added to 10 milliliters of ink B, forming a mixture of inks. Ink A contains 10% blue pigment. Ink B contains an unknown percentage of blue pigment. The mixture of the two inks contains 35% blue pigment.

Answers

We will assume that B contains higher percentage of blue pigment than the mixture ( because A contains lower). First we will subtract:
35-10=15 and then: x-35
So we will make the proportion:
4 : 10 = (x-35) : 15
4 * 15 = 10(x-35)
60=10 x- 350
10 x =410
x = 41%
Answer: Ink B contains 41 % of blue pigment.

#1. What term describes a line segment that connects a vertex of a triangle to a point on the line containing the opposite side, so that the line segment is perpendicular to that line? #2. Which term describes a line segment that connects a vertex of a triangle to the midpoint of the opposite side?

Answers

#1
The ALTITUDE is a line segment that connects a vertex of a triangle to a point on the line containing the opposite side, so that the line segment is perpendicular to that line.

#2
The MEDIAN a line segment that connects a vertex of a triangle to the midpoint of the opposite side

Answer:

# 1

Altitude of a triangle.

# 2

Median of a triangle.

Step-by-step explanation:

Altitude--

An altitude is a line that passes through a vertex and it intersects the opposite side of that vertex at 90 degree i.e. the line is perpendicular to the opposite side.

The point where the three altitudes of a triangle meet is called the Orthocenter of the triangle.

Median of a triangle--

The median of the triangle is the line which passes through a vertex and meets the midpoint of the opposite side of the triangle.

The point where the three medians of a triangle meet is called the Centroid of the triangle.

The slope of the graph of y = x is

Answers

Hello,
y=1*x
Slope=1
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In the diagram below, the measure of angle XAY is 72° (m∠XAY = 72°). Since the measure of the intercepted arc XY is 144°, a student named Naomi mistakenly claims that the measure of ∠XBY is also 144°.a. In a short paragraph, explain the source of Naomi’s error. In your response, be sure to describe the problem in terms of the following two formulas:

inscribed angle = 1/2 · (intercepted arc) and
intercepted arc = central angle.

Be sure to use important vocabulary like “inscribed angle,” “central angle”, and “intercepted arc”.

Answers

Answer:

Angle of the intercepted arc is equal to the angle at the centre (central angle) but B is not the centre hence XBY is not 144°.

Angle at the circumference (inscribed angle) is half of the central angle, but XBY is not the central angle, so it's not 2×72.

Hence not 144°

In the xy -plane, what is the y -intercept of the graph of theequation y =2(x+ 3)(x- 4)?
A. 24
B. 12
C. 2
D. 12

Answers

I don't think the correct y-intercept is offered as one of the choices.

   y = 2 (x + 3) (x - 4)

Where the graph crosses
the y-axis, x=0 : y = 2 (0 + 3) (0 - 4)

   y = 2 ( 3 ) ( -4 )

   y = 2 ( -12 ) = -24

Hat does the transformation f(x)↦f(x+6) do to the graph of f(x)?