GIVEN: ∠D congruent to ∠T, ∠E congruent to ∠U, DE congruent to UT

Mathematics

2 answers:

Sav [38]3 years ago

8 0

<span>GIVEN:
∠D congruent to ∠T
∠E congruent to ∠U
DE congruent to UT

answer
</span><span>ASA Postulate</span>

erma4kov [3.2K]3 years ago

4 0

Answer: ASA Postulate

Step-by-step explanation:

GIVEN: ∠D congruent to ∠T,

∠E congruent to ∠U,

DE congruent to UT

Now, in ΔUXT and ΔDOE

∠D congruent to ∠T [Angle]

DE congruent to UT [included side]

∠E congruent to ∠U [Angle]

By ASA postulate of congruence , ΔUXT ≅ ΔDOE

ASA Postulate of congruence says that if two angles and the included side of a triangle are congruent to two angles and the included side of other triangle then the triangles are said to be congruent.

You might be interested in

A rectangle has an area of 36 square units. As the length and the width change, what do you know about their product? Is this le

m_a_m_a [10]

Area = 36 = length*width

Then, while the area is constant the product length*width is constant.

Length and area are inversely related.

That means that to keep the same product (area), length vary in inverse proportion to width.

If you increase length, widht has to decrease to satisfy this relation:

width = 36/length

Of course, you can also say: length = 36 / width.

5 0

3 years ago

1,2,5,10,17 What is the pattern

amm1812

Answer:

Going up by odd numbers I’m pretty sure

Step-by-step explanation:

1-2 that went up once

2-5 that went up 3 times

5-10 that went up 5

and so on

6 0

3 years ago

Help me please,Thanks

alisha [4.7K]

Answer: The width is: " 10 in. " .
________________________________________________
Explanation:
________________________________________________
Consider a "rectangular prism".
________________________________________________
The formula for the Volume of a rectangular prism:
________________________________________________

V = L * w * h ;
_________________________________________________
in which:

V = volume = 120 in.³ ;
L = length = 8 in.
w = width = ??
h = height = 1.5 in.
____________________________________________
We want to solve for "w" (width) ;
____________________________________________
Given the formula:
____________________________________________

V = L * w * h ;
____________________________________________
Rewrite the formula; by dividing EACH SIDE of the equation by
"(L * h)" ; to isolate "w" on one side of the equation;
and to solve for "w" ;
_____________________________________________
→ V / (L * h) = ( L * w * h) / (L * h) ;

to get:
_________________________________
→ V / (L * h) = w ;

↔ w = V / (L * h) ;
_________________________________
Plug in our given values for "V", "L"; and "h"; to solve for "w" ;
____________________________________________________
→ w = (120 in.³) / (8 in. * 1.5 in.) ;

→ w = (120 in.³) / (12 in.²) ;

→ w = (120/12) in. = 10 in.
____________________________________________________

8 0

3 years ago

Complete the table Y=6x-4

viktelen [127]

Answer:

With Two points is enough to describe this graph

$\left[\begin{array}{ccc}\frac{4}{6} &0\\0&-4\\\end{array}\right]$