Which ordered pair is a solution of the inequality? y is greater than or equal to 4x-5

Ann Zoe and Jim bought a present for ben. Ann cooperated with $12 less than Zoe and $16 less than Jim. If the cost of the presen

sergeinik [125]

Let A represent the amount Ann contributed, Z represent Zoe's contribution, and J represent Jim's contribution toward the present.

Ann (A): A

Zoe (Z): A = Z - 12 → Z = 12 + A

Jim (J): A = J - 16 → J = 16 + A

A + Z + J = 154

(A) + (12 + A) + (16 + A) = 154

3A + 28 = 154

3A = 126

A = 42

Ann (A): A = 42

Zoe (Z): Z = 12 + A = 12 + 42 = 54

Jim (J): J = 16 + A = 16 + 42 = 58

Answer: Ann=42, Zoe=54, Jim=58

6 0

3 years ago

What is the point-slope form of the line with slope 2/5 that passes through the point (-4, -7) ?

likoan [24]

Answer:

• General equation of a line:

${ \tt{y = mx + b}} \\$

m is the slope, m = 2/5
b is y-intercept

${ \tt{ - 7 = ( \frac{2}{5} \times - 4) + b }} \\ \\ { \tt{ - 7 = - \frac{8}{5} + b}} \\ \\ { \tt{b = - \frac{27}{5} }}$

• Therefore, equation of line is:

${ \tt{y = \frac{2}{5}x - \frac{27}{5} }} \\$

7 0

2 years ago

Read 2 more answers

Which of the following best completes the proof showing that ΔWXZ ~ ΔXYZ?

skelet666 [1.2K]

Angles formed by the segment $\overline{XZ}$ in the triangles ΔWXZ, and ΔXYZ, are equal and the given corresponding sides are proportional.

The option that best completes the proof showing that ΔWXZ ~ ΔXYZ is; <u>16 over 12 equals 12 over 9</u>

Reasons:

The proof showing that ΔWXZ ~ ΔXYZ is presented as follows;

Segment $\overline{XZ}$ is perpendicular to segment $\overline{WY}$

∠WZX and ∠XZY are right angles by definition of $\overline{XZ}$ perpendicular to $\overline{WY}$

∠WZX in ΔWXZ = ∠XZY in ΔXYZ = 90° (definition)

$\displaystyle \frac{WZ}{XZ} = \frac{16}{12} = \mathbf{ \frac{4}{3}}$

$\displaystyle \mathbf{ \frac{XZ}{ZY}} = \frac{12}{9} = \frac{4}{3}$

Therefore;

$\displaystyle \frac{16}{12} = \frac{12}{9}$ , which gives, $\displaystyle \mathbf{\frac{WZ}{XZ} }= \frac{XZ}{ZY}$

Given that two sides of ΔWXZ are proportional to two sides of ΔXYZ, and

that the included angles between the two sides, ∠WZX and ∠XZY are

congruent, the two triangles, ΔWXZ and ΔXYZ are similar by Side-Angle-

Side, SAS, similarity postulate.

The option that best completes the proof is therefore;

$\displaystyle \frac{16}{12} = \frac{12}{9}$ which is; <u>16 over 12 equals 12 over 9</u>

Learn more about the SAS similarity postulate here:

brainly.com/question/11923416

4 0

2 years ago

The shorter leg of a right triangle is 6m shorter than the longer leg. the hypotenuse is 6m longer than the longer leg. find the

Gennadij [26K]

Short leg = x-6m
Longer leg =x
Hypotenuse = x+6m

x² + (x-6)² =(x+6)²
x² + x²-12x+36 = x²+12x+36
2x²-12x+36= x² +12x+36
2x²-12x+36-36= x² +12x+36-36
2x² - 12x-12x = x²+12x-12x
2x² -24x-x² = x²-x²
x² -24x = 0
x(x-24)=0
x = 24

Short leg = 24-6m = 18
Longer leg =24
Hypotenuse = 24+6m=30

Check
a² + b² = c²
18² +24² =30²
324 +576 = 900
900=900

7 0

3 years ago

Solve for 2x2- 7x + 16 = 20 and find the sum of the solutions

beks73 [17]

I actually got zero for this when I did this in phothomath

8 0

2 years ago