The angle measurements in the diagram are represented by the following expressions.

Find the Point where the two lines intersect each other. What are the coordinates of this point?

kompoz [17]

Answer:

B. and D.

Step-by-step explanation:

4 0

3 years ago

PLEASE HELP!!! <br><br> Which equation represents this ellipse?

Alona [7]

Answer:

y²/25+x²/4=1

Step-by-step explanation:

The equation for an ellipse is either categorized as

x²/c² + y²/d² = 1 . In such an equation, the vertices on the x axis are categorized by (±c,0) and the vertices on the y axis are (0, ±d)

In the ellipse shown, the vertices/endpoints on the x axis are (-2,0) and (2,0). This means that c is equal to 2. Similarly, on the y axis, the endpoints are (5,0) and (-5,0), so d=5.

Our equation is therefore x²/2²+y²/5²=1 = x²/4+y²/25=1

Our answer is therefore the fourth option, or

y²/25+x²/4=1

5 0

2 years ago

What statement describes the graph of x=4?

kherson [118]

Answer:

it is parallel to the y axis

3 0

3 years ago

Read 2 more answers

All the pupils at a primary school come from one of three villages: Elmswell, Haughley or Woolpit. 1/4 of the pupils come from E

Jlenok [28]

Answer:

Step-by-step explanation:

Given that:

All the pupils at a primary school come from one of three villages: Elmswell, Haughley or Woolpit.

$\frac{1}{4}$ of the pupils come from Elmswell

$\frac{3}{5}$ of the pupils come from Haughley

102 pupils come from Woolpit.

To find:

Total number of pupils in the school.

Solution:

Let total number of pupils = $100x$

So, number of pupils that come from Elmswell = $\frac{1}{4}$ of 100x

OR

$\dfrac{1}{4} \times 100x\\\Rightarrow 25x$

And, number of pupils that come from Haughley= $\frac{3}{5}$ of 100x

OR

$\dfrac{3}{5} \times 100x\\\Rightarrow 60x$

Number of pupils that come from Woolpit = $100x - 25x - 60x \Rightarrow 15x$

As per given statement:

$15x = 102\\\Rightarrow x =6.8$

Number of pupils from Elmswell = 25x = 25 $\times$ 6.8 = 170

Number of pupils from Haughley = 60x = 60 $\times$ 6.8 = 408

Total number of pupils at the school = $100x \Rightarrow 100 \times 6.8=680$

7 0

3 years ago

In trapezoid $ABCD$, $\overline{AB}$ is parallel to $\overline{CD}$, $AB = 7$ units, and $CD = 10$ units. Segment $EF$ is drawn

Mekhanik [1.2K]

Answer:

EF = 58/7

Step-by-step explanation:

If you extend both BC and AD to meet at P you get 3 similar triangles PAB, PEF, and PCD. Let's call BF = 3x and FC = 4x. Therefore the following proportions can be expressed:

BP/7 = (BP+7x)/10

10BP = 7*(BP+7x)

10BP = 7BP+49x

3BP = 49x

BP = (49/3)x

BP/7 = (BP+3x)/EF

EF = (BP+3x)*7/BP

EF = ((49/3)x + 3x)*7/((49/3)x)

EF = ((58/3)x*7*3)/(49x)

EF = 58/7

3 0

3 years ago