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slava [35]
3 years ago
12

Translate each question. Four times the difference of a number and 7 is 32

Mathematics
1 answer:
schepotkina [342]3 years ago
6 0
“Four times the difference of a number and 7 is 32”
Translation-
4(x-7)=32
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If RS=3x + 1, ST= 2x - 2, and RT=64 find the value of x
Ulleksa [173]
For this question, we can assume that RS + ST = RT.  So now, we just have to plug in the expressions for these lengths, and solve the equation.

(3x+1) + (2x-2) = 64

Because we are only dealing with one operation, the parentheses aren't necessary.

3x + 1 + 2x - 2 = 64

Next, we should combine like terms on the left side of the equation. We know that 3x + 2x = 5x, and that 1 - 2 = -1.

5x - 1 = 64

The goal of an equation is to get the variable alone.  To do this, we have to get rid of the -1 on the left side of the equation.  So, we are going to add 1 to both sides of the equation, to cancel out the -1 on the left side.

5x = 65

Finally, we are going to divide both sides by 5, as this is the inverse operation of multiplication, which is how the 5 and the x are connected.

x = 13

Therefore, the value of x is 13.
3 0
3 years ago
Which figure represents the image of trapezoid LMNP
xenn [34]
Answer is C hope this helps
4 0
3 years ago
Which of the following angle pairs best describes angles 6 and 4 in the graphic below?
andriy [413]
Answer: Choice C) Same-side interior angles

------------------------------------------------------------------------------

Angle 4 and angle 6 are on the same side, in this case the right hand side of the transversal line (line t). In addition, they are on the interior of the "train tracks" horizontal  lines (line a and line b). Combine this and this is why the two angles are same-side interior angles

Side note: if line a is parallel to line b, then angle 4 and angle 6 add to 180 degrees. At this point, they are considered supplementary.
8 0
3 years ago
Based only on the information given in the diagram, which congruence theorems or postulates could be given as reasons why DEF=JK
NISA [10]

Answer:

A) AAS; B) LA; C) ASA

Step-by-step explanation:

AAS is the Angle-Angle-Side congruence statement.  It says that if two angles and a non-included side of one triangle are congruent to the corresponding two angles and non-included side of a second triangle, then the triangles are congruent.  In these triangles, ∠E≅∠K, ∠F≅∠L, and DE≅JK.  These are two angles and a non-included side; this is AAS.

LA is the leg-acute theorem.  It states that if a leg and acute angle of one triangle is congruent to the corresponding leg and acute angle of another triangle, then the triangles are congruent.

The leg we have congruent from each triangle is DE and JK.  We also have ∠E≅∠K and ∠F≅∠L, both pairs of which are acute.  This is the LA theorem.

ASA is the Angle-Side-Angle congruence statement.  It says that if two angles and an included side of one triangle are congruent to the corresponding two angles and included side of another triangle, then the triangles are congruent.  

We have that ∠D≅∠J, DE≅JK and ∠E≅∠K.  This gives us two angles and an included side, or ASA.

7 0
3 years ago
Read 2 more answers
Label the sides of the triangle with leg, leg, and hypotenuse.​
Softa [21]

Answer:

Step-by-step explanation:

5. is hypothenuse because it is across from the right angle

3. and 4. are legs

3 0
3 years ago
Read 2 more answers
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