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patriot [66]
2 years ago
12

Solve the equation 3(2x+9)=30

Mathematics
2 answers:
MakcuM [25]2 years ago
5 0

Answer:

x=1/2

Step-by-step explanation:

3(2x+9) = 30

Multiply out the 3

6x + 27 = 30

Subtract 27 on both sides

6x = 3

Divide by 6 on both sides

x = 1/2

Delicious77 [7]2 years ago
5 0

Answer:

x=1/2

Step-by-step explanation

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3. In the fig. AD = DC and AB = BC. Prove that ΔADB = ΔCDB<br>​
xxMikexx [17]

Answer:

The two column proof is presented as follows;

The given parameters are;

\overline {AD} = \overline {DC} and \overline {AB} = \overline {BC}

Statement               {}                     Reason

\overline {AD} = \overline {DC} and \overline {AB} = \overline {BC}       {}       Given

\overline {BD}  ≅  \overline {BD}               {}                    Reflexive property

\overline {BD}  =  \overline {BD}               {}                     By the definition of congruency

ΔADB ≅ ΔCDB             {}                By Side-Side-Side (SSS) rule of congruency

ΔADB = ΔCDB              {}                 By the definition of congruency

If the three sides of one triangle are congruent to the corresponding three sides of another triangle, then both triangles are said to be congruent according to the SSS rule of congruency

Step-by-step explanation:

7 0
3 years ago
Write an inequality for x that would give this rectangle a perimeter of at least 300ft
Travka [436]

Answer:

The inequality for x is:

x\geq 142

Step-by-step explanation:

Given:

Width of rectangle = 3 ft

Height or length of rectangle = (x+5) ft

Perimeter is at least 300 ft

To write an inequality for x.

Solution:

Perimeter of a rectangle is given as:

⇒ 2l+2w

where l represents length of the rectangle and w represents the width of the rectangle.

Plugging in the given values in the formula, the perimeter can be given as:

⇒ 2(x+5)+2(3)

Using distribution:

⇒ 2x+10+6

Simplifying.

⇒ 2x+16

The perimeter is at lest 300 ft. So, the inequality can be given as:

⇒ 2x+16\geq 300

Solving for x

Subtracting both sides by 16.

⇒ 2x+16-16\geq 300-16

⇒ 2x\geq284

Dividing both sides by 2.

⇒ \frac{2x}{2}\geq \frac{284}{2}

⇒ x\geq 142   (Answer)

7 0
3 years ago
The measure of angle 1 is 65 degrees. What are the measures of the other seven angles? (Enter the
Anika [276]

Answer:

See solution below

Step-by-step explanation:

According to the diagram shown

m<1 = m<5 = 5=65 degrees (corresponding angle)

m<5 = m<4 - 65 degrees (alternate interior angle)

m<9 = m<8 = 65degrees (corresponding angle)

m<5 = m<8 = 65dgrees (vertically opposite angles)

m<6+m<8 = 180

m<6 + 65 = 180

m<6 = 180 - 65

m<6 = 115degrees

m<2 = m<6 = 115degrees (corresponding angles)

m<6 = m<7 = 115degrees (vertically opposite angles)

m<3 = m<7 = 115degrees(corresponding angle)

)

3 0
3 years ago
What is the area of a rectangle that has a length of 1/4 inch and a width of 1/8 inch?
Lubov Fominskaja [6]

Answer:

1/4 * 1/8 = 1/32 inch

Step-by-step explanation:

1/4 * 1/8 = 1/32inch

8 0
2 years ago
Find the solution to the system 9x−4y=−13 and 9x−2y=−20
BaLLatris [955]

Answer:

x = -3, y = -3.5.  As an ordered pair it is (-3, -3.5).

Step-by-step explanation:

9x − 4y = −13

9x − 2y =  -20

Subtract:-

-2y = 7

y = -3.5.

Substitute for y in the first equation:

9x - 4(-3.5) = -13

9x =  -27

x = -3.

3 0
3 years ago
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