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mezya [45]
2 years ago
6

If 3s = t + 5 and se = 4, then t =

Mathematics
1 answer:
grigory [225]2 years ago
5 0

Answer:

t must be 7

Step-by-step explanation:

Replace s with 4 and solve for t in the original equation:

3 s = t + 5

3 (4) = t + 5

12 = t + 5

12 - 5 = t

7 = t

So t must be 7

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Given: Quadrilateral DEFG is a parallelogram.
levacccp [35]

Answer:

The correct option is A.

Step-by-step explanation:

It is given that  DEFG is a parallelogram.

Draw the diagonals DF and EG. Place point H where DF and EG intersect.

In triangle HGD and HEF

,

∠HGD ≅ ∠HEF                            (Alternate Interior angle)

∠HDG ≅ ∠HFE                      (Alternate Interior angle)

By the definition of a parallelogram, the opposite sides of a parallelogram are congruent.

DG ≅ EF                                      (Opposite sides of parallelogram)

According to ASA postulate, two triangles are congruent if any two angles and their included side are equal in both triangles.

So, by using ASA criterion for congruence we get,

ΔDGH ≅ ΔFEH

Since corresponding sides of congruent triangles are congruent, therefore

GH ≅ EH                      (CPCTC)

DH ≅ FH                     (CPCTC)

Option A is correct.

8 0
3 years ago
How many zero pairs must be added to the function
konstantin123 [22]
TO write the function into vertex form, we need to add one zero and the solution is shown below:
f(x)= x² -6x +1
Add one zero in the form of -9 and 9, such as:
f(x) = x² -6x +1 -9 +9
f(x) = (x² -6x +9) +(1-9)
f(x) = (x-3)² + (-8)
f(x) = (x-3)² - 8
This is the vertex form of the given function and only one zero is being added.
3 0
3 years ago
Read 2 more answers
Graph the system of equations <br> 4x+4y=16<br> x+6y=-6
never [62]

Answer:

Graph has been shown in the attached file.

Step-by-step explanation:

We have been given the system of equations

4x+4y=16.......(1)\\x+6y=-6.........(2)

Both the equation represents a straight lines. We can find the x and y intercepts of these lines to graph.

The intercept form of a line is given by

\frac{x}{a}+\frac{y}{b}=1

Here a is the x - intercept and b is the y-intercept.

Divide both sides of the equation (1) by 16

\frac{4x}{16}+\frac{4y}{16}=1\\\\\frac{x}{4}+\frac{y}{4}=1

Hence, x-intercept = 4 and the point is (4,0)

y-intercept = 4 and the point is (0,4)

Similarly, for the second line

Divide both sides of the equation (2) by -6

\frac{x}{-6}+\frac{6y}{-6}=1\\\\\frac{x}{-6}+\frac{y}{-1}=1

x-intercept = -6 and the point is (-6,0)

y-intercept = -1 and the point is (0,-1)

We'll plot these points in the xy- plane and then join to get the graph of these lines.


7 0
3 years ago
if the population of a country increases by 35% every decade by what percentage does it increase by every year
VikaD [51]

Answer:

hi

have a good day for you

7 0
3 years ago
The equation SA= 652 can be used to calculate the surface area, SA, of a cube with side length 8. What is the surface area, in s
enot [183]

Answer:

hi

Step-by-step explanation:

8 0
3 years ago
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