Mathematics, 07.02.2021 20:00, scholar13

TWVU is a trapezoid with midsgment FG find the value of x please help

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answered: cass9980

Find each measure.

SOLUTION:

The trapezoid ABCD is an isosceles trapezoid. So,

each pair of base angles is congruent. Therefore,

ANSWER:

101

2. WT, if ZX = 20 and TY = 15

SOLUTION:

The trapezoid WXYZ is an isosceles trapezoid. So, the

diagonals are congruent. Therefore, WY = ZX.

WT + TY = ZX

WT + 15 = 20

WT = 5

ANSWER:

COORDINATE GEOMETRY Quadrilateral

ABCD has vertices A(–4, –1), B(–2, 3), C(3, 3),

and D(5, –1).

3. Verify that ABCD is a trapezoid.

SOLUTION:

First graph the points on a coordinate grid and draw

the trapezoid.

Use the slope formula to find the slope of the sides of

the trapezoid.

The slopes of exactly one pair of opposite sides are

equal. So, they are parallel. Therefore, the

quadrilateral ABCD is a trapezoid.

ANSWER:

ABCD is a trapezoid.

4. Determine whether ABCD is an isosceles trapezoid.

Explain.

SOLUTION:

Refer to the graph of the trapezoid.

Use the slope formula to find the slope of the sides of

the quadrilateral.

The slopes of exactly one pair of opposite sides are

equal. So, they are parallel. Therefore, the

quadrilateral ABCD is a trapezoid.

Use the Distance Formula to find the lengths of the

legs of the trapezoid.

The lengths of the legs are equal. Therefore, ABCD

is an isosceles trapezoid.

ANSWER:

isosceles;

5. GRIDDED REPSONSE In the figure, is the

midsegment of trapezoid TWRV. Determine the value

of x.

SOLUTION:

By the Trapezoid Midsegment Theorem, the

midsegment of a trapezoid is parallel to each base

and its measure is one half the sum of the lengths of

the bases.

are the bases and is the

midsegment. So,

Solve for x.

16 = 14.8 + x

1.2 = x

ANSWER:

1.2

CCSS SENSE-MAKING If ABCD is a kite, find

each measure.

6. AB

SOLUTION

answered: Guest

the system of inequity is

$y\leq -x+4$

$3y> x$

step-by-step explanation:

from the given graph it is noticed that we have two related lines. one is solid and another is dashed.

if a line passing through two points, then the equation of line is

$y-y_1=\frac{y_2-y_1}{x_2-x_1}(x-x_1)$

the solid line passing through the points (0,4) and (4,0).

$y-4=\frac{0-4}{4-0}(x-0)$

$y=-x+4$

the related equation of solid line is $y=-x+4$ .

similarly, find the related equation of dashed line. the dashed liune passing through the points (0,0) and (3,1).

$y-0=\frac{0-1}{3-0}(x-0)$

$3y=x$

the related equation of dashed line is $3y=x$

from the given graph it is noticed that the point (0,1) lies on the shaded region, therefore the point (0,1) must be satisfied by the related equations.

check the related equations by the point (0,1).

$1=-0+4$

$1=4$

this statement is true if the sign of inequality is < instead of equality. since it is an solid line therefore the sign of inequality will be $\leq$ . the required inequality is