1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
ASHA 777 [7]
3 years ago
6

Geometry Proof - Thanks in advance for the help!

Mathematics
1 answer:
RideAnS [48]3 years ago
8 0

Answer:

Using reflexive property (for side), and the transversals of the parallel lines, we can prove the two triangles are congruent.

Step-by-step explanation:

  • Since AB and DC are parallel and AC is intersecting in the middle, you can make out two pairs of alternate interior angles<em>.</em> These angle pairs are congruent because of the alternate interior angles theorem. The two pairs of congruent angles are: ∠DAC ≅ ∠BCA, and ∠BAC ≅ ∠DCA.
  • With the reflexive property, we know side AC ≅ AC.
  • Using Angle-Side-Angle theorem, we can prove ΔABC ≅ ΔCDA.
You might be interested in
You invest $9000 with a 6% interest rate compounded semiannually. After 9 yrs, how much money is in your account?
astraxan [27]
\bf \qquad \textit{Compound Interest Earned Amount}&#10;\\\\&#10;A=P\left(1+\frac{r}{n}\right)^{nt}&#10;\quad &#10;\begin{cases}&#10;A=\textit{accumulated amount}\\&#10;P=\textit{original amount deposited}\to &\$9000\\&#10;r=rate\to 6\%\to \frac{6}{100}\to &0.06\\&#10;n=&#10;\begin{array}{llll}&#10;\textit{times it compounds per year}\\&#10;\textit{semi-annually, thus twice}&#10;\end{array}\to &2\\&#10;&#10;t=years\to &9&#10;\end{cases}&#10;\\\\\\&#10;A=9000\left(1+\frac{0.06}{2}\right)^{2\cdot 9}
7 0
3 years ago
Gelatin Methacryloyl Hydrogels in the Absence of a Crosslinker as 3D Glioblastoma Multiforme (GBM)-Mimetic Microenvironment
scoray [572]

For the eradication of malignancies like the aggressive type of human brain tumour known as glioblastoma multiforme (GBM), 3D platforms are crucial for tracking tumour growth and assessing treatment candidates.

<h3>What is Glioblastoma Multiforme (GBM)?</h3>

Glioblastoma (GBM), commonly known as a grade IV astrocytoma, is an aggressive brain tumour that grows quickly. The local brain tissue gets invaded, but it typically does not spread to distant organs. GBMs can develop from lower-grade astrocytomas or develop from new brain tumours.

Some characteristics of GBM are-

  • We explore cellular behavior, expression profiles of malignancy, and apoptosis-related genes within this novel network using suspension and spheroid-based models of GBM.
  • In-depth research is also done on the sensitivity to the anticancer medication Digitoxigenin.
  • According to the research, GelMA hydrogels contain high levels of prosurvival Bcl-2 gene expression and sparse or spheroid U373 cells, which have much lower expressions of apoptosis-activating genes like Bad, Puma, and Caspase-3.
  • The up regulation of matrix-metalloproteinase genes within GelMA suggests that gels have a beneficial effect on the extracellular remodelling of cancer cells.
  • Through the investigation of 3D malignant cancer cell behavior, this special photo curable gelatin shows significant promise for the practical translation of cancer research and, consequently, for more effective treatment techniques for GBM.

To know more about brain tumour, here

brainly.com/question/13606763

#SPJ4

4 0
2 years ago
Please help pls pls help pls belp
Delvig [45]

Answer:

After 1 second, the ball will reach a maximum height of 16 feet

Step-by-step explanation:

The height of the ball after t seconds: h(t) = -16t^2 + 32t

The graph of this quadratic function is parabola which opens downwards. The vertex of a quadratic equation is the maximum or minimum point on the equation's parabola

t = -b/2a = -(32)/2(-16) = -32/-32 = 1 second

then

h(t) = -16(1)^2 + 32(1) = -16 + 32 = 16

After 1 second, the ball will reach a maximum height of 16 feet

8 0
2 years ago
2 [ 32 - (4-1) to the third power ]
Tems11 [23]

Answer:

Step-by-step explanation:

2

4 0
3 years ago
Read 2 more answers
The sum of two numbers is 110.The larger number is 2 less than 7 times the smaller.Find the Large number
natima [27]

Answer:

The larger number is 96.

Step-by-step explanation:

let \: the \: two \: numbers \: be \: a \: and \: b \\ a + b = 110 \\ let \: a \: be \: the \: larger \: number \\ a = 7b - 2 \\ we \: can \: get \: the \: value \: of \: b \: by \: substituting \: the \: value \: above \: for \: a \: in \: eq \: 1 \\ 7b - 2 + b = 110 \\ 8b - 2 = 110 \\ 8b = 110 + 2 \\ 8b = 112 \\ b = \frac{112}{8}  \\b = 14\\ calculate \:the \: value \: of \: a \: using \: the \: equation \: above \\ a + b = 110 \\ a = 110 - 14 \\ a = 96 \\ hence \: the \: large \: number \: is \: 96

8 0
2 years ago
Other questions:
  • Algebra 2 help please!!!!!
    11·1 answer
  • How to solve for this problem
    6·2 answers
  • Can someone explain this or help me plss .
    5·2 answers
  • 2 Points
    6·1 answer
  • A car start from rest and accelerates at the rate of 2m/s² for 5 seconds. it maintenance this velocity for another 5 seconds. it
    7·1 answer
  • PLLLLLLL ZZZZ HELP (MATH) (: ILL MAKE U BRAINLIST IF THE ANSWER IS RIGHT! :)
    12·2 answers
  • John and Ana weight a total of 250 pounds. If John weights 130 pounds. How much does Ana weight?
    12·2 answers
  • Help Which is the answer<br><br>102°<br><br>152°<br><br>62°<br><br>28°​
    5·1 answer
  • What is the algebraic expression ’2/3 n’ as a verbal phrase?
    5·1 answer
  • (PLEASE ANSWER 50 POINTS)Write an equation of a line slope-intercept form with the given slope and y-intercept. Slope:3, y-inter
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!