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Anestetic [448]
3 years ago
8

Simplify the expression, 3.5(1.6 + 4.6 - 8.5) - 9.75

Mathematics
1 answer:
tatiyna3 years ago
5 0

Step-by-step explanation:

3.5(1.6 + 4.6  - 8.5) - 9.75

5.6 + 16.1 - 29.75 - 9.75

21.7  - 39.5

- 17.8

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In the figure above, quadrilateral ABCD is a parallelogram. Let x represent the measure of angle GBF, y represent the measure of
ira [324]
Answers:
measure angle x = 40°
measure angle y = 35°
measure angle z = 55°

Explanation:
Part (a): getting angle x:
In triangle BED, we have:
measure angle BED = 90°
measure angle BDE = 50°
Therefore:
measure angle DBE = 180 - (90+50) = 40°
Now, we have angle DBE and angle GBF vertically opposite angles.
This means that they are both equal. Therefore angle GBF = 40°
Since angle GBF is x, therefore:
x = 40°

Part (b): getting angle y:
We know that the sum of measures of angles on a straight line is 180.
This means that:
angle GBF + angle GBC + angle CBE = 180
We have:
angle GBF = 40°
angle GBC = 105°
angle CBE = y
Therefore:
40 + 105 + y = 180
y = 35°

Part (c): getting angle z:
In triangle BCE, we have:
measure angle BCE = z
measure angle BEC = 90°
measure angle CBE = 35°
Therefore:
z + 90 + 35 = 180
z = 55°

Hope this helps :)

8 0
3 years ago
Andre notices that he is a little taller than Lin but is shorter than their math teacher, who is 164 centimeters tall. Write two
Ugo [173]

Answer:

Andre's height:  y < x < 164

Step-by-step explanation:

We will first of all convert each of the statements to mathematical inequalities, before we combine them.

Let Andre's height be = x

Lin's height be = y

The maths teacher's height = 164

Andre is a little taller than Lin:

x > y

Andre is shorter than their maths teacher, who is 164 centimetres

x<164

Combining the two inequalities, we have Andre's height as

y < x < 164

This means that Lin is shorter than Andre who is in turn shorter than the Maths Teacher.

3 0
3 years ago
Let m = X^2 + 3.
Tpy6a [65]

The Equation in terms of m, m^2+7m+10=0

What is substituting in the equation ?

substituting means changing or replacing the values in the given equation.

Calculation:

Given equation is (x^2+3)^2+7x^2+21=-10

            and m= X^2 + 3.

make the given equation in the form X^2 + 3,

             now,

                     (x^2+3)^2+7x^2+21=-10

                     (x^2+3)^2+7(x^2+3)=-10

             where,

                      X^2 + 3= m

              after putting the value or replacing the values

             we get, m^2+7m=-10

                      m^2+7m+10=0

          the above equation is in the form of "m".

The Equation in terms of m, m^2+7m+10=0

Leran more about substitution here:

brainly.com/question/24094293

#SPJ1

4 0
2 years ago
I need help on the first one
Phantasy [73]

Answer:

to be honest idek

Step-by-step explanation:

7 0
3 years ago
What is the definition of y=mx+b
Brut [27]

Answer:

In the equation of a straight line (when the equation is written as "y = mx + b"), the slope is the number "m" that is multiplied on the x, and "b" is the y-intercept (that is, the point where the line crosses the vertical y-axis).

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
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